A cup is a unit of volume that is included not only in the United States customary system but also in the Imperial or British Measurement System. 3 tablespoons. After all, you will be able to see some American recipes that use sticks, others use cups, others use teaspoons, and still others prefer to use tablespoons. For example, 1 tablespoon can be written as 1 tbsp, 1 T, 1 Tbls, or 1 Tb. 1 cup = 16 tablespoons. To make 2/3 of a cup takes 10 tablespoons and 2 teaspoons. Let’s imagine that you are baking a cake and that the recipe you are following asks you to add 3 X 1/3cups of sugar to the mixture. 1 Half (1/2) Cup = 8 Tablespoons. And this not to mention that you need to be careful to see if you need to use the United States Customary System or the Imperial or British Measurement System. So, as you can easily see, they use the metric system (meaning that they use grams). If you think about it, it makes perfect sense. So, 1/3 cup times 16 is equal to 5 1 3 Tablespoons. As a rule of thumb, every time your recipe calls for creaming butter, you just need to let your mixer whip the butter for 3 minutes. Measuring cups come in different sizes. Half of 1/3 cup = 2 tbsp + 2 tsp. Let’s say that you are preparing a recipe and that you need to add 2 X 1/3 cups of flour. 1/2 tsp. How Many Tablespoons In Half A Cup – Quick Conversion Table But we will look into that further below. Over time it will become easier to cut down on recipes so you only make as much food as your family is likely to eat. Note that rounding errors may occur, so always check the results. So according to U.S. system 16 tablespoons unit volume equal to 1 U.S. cup. If you are someone who likes to cook but who especially likes to bake, then you are probably wondering about how to make all the conversions between different units of measurement easier. So, considering that: 2 X 1/3 cups of flour = 2 X 5.33 Tablespoons, 2 X 1/3 cups of flour = 10.66666 Tablespoons. Understanding Tablespoon and Cup Measurements. Here’s a quick example. One half of 1/3 cup = 1/6 cup = 2.67 tbsp. Since 1/3 of a whole account for 33 percent or .33 of it, .33 of 16 tablespoons is 5.26 tablespoons. Furthermore, you want to know the equivalent measurement of ¼ cup in tablespoons. swap units ↺ Amount. So, in these cases, it is always better to cut it into chunks and just leave it out until it’s still cold but workable. Answered on 10/26/2013 12:00:00 AM by Betty Kitchen Expert Need help? Which means the answer to the question, how many tablespoons are in half a cup is…8 tablespoons. For example, in the United States, the butter needs to have at least 80% fat content. And the only way is to know how many tablespoons in 1/3 cup. To convert cups to tablespoons, multiply the cup value by 16. 1 tsp. A tablespoon is a volume unit abbreviated as "tbsp". "One half of 1/3" is called 'one sixth'. To halve an egg, break it, mix it together with a fork and use 2 tablespoons. Magazines & More. A tablespoon is a measure of flour volume. Half of 1/4 cup = 2 tablespoons. Half of 1/3 cup = 2 tablespoons + 2 teaspoons. 1/2 cup = 8 tablespoons. What is half of three quarters of a teaspoon? The United States customary cup unit holds 8 ounces and 16 tablespoons. In case you are wondering about when you can know if the butter is at room temperature, look no further. There are 3 teaspoons in a tablespoon. 4 tablespoons = 1/4 cups. One half of 3/4 teaspoon = 3/8 teaspoons. So, 1/8 cup times 16 is equal to 2 Tablespoons. Use this page to learn how to convert between half cup and tablespoons. 1/2 cup = 8 tbsp. To divide an egg: Crack the egg into a bowl and whisk until bubbly. To make 2/3 of a cup takes 10 tablespoons and 2 teaspoons. 1 teaspoon = 4.929 milliliters = 1/3 tablespoon: 1 tablespoon = 14.79 milliliters = 3 teaspoons = 1/2 ounce = 1/16 cup = 1/32 pint = 1/64 quart: 1 ounce = 29.57 milliliters = 6 teaspoons = 2 tablespoons = 1/8 cup = 1/16 pint = 1/32 quart = 1/128 gallon Splitting the measurement into 1/3 or 1/6 cup results in the need to use teaspoon measurements or fractions of tablespoons in conjunction with tablespoon measurements. However, sometimes, this may not be possible. This means that your pastries will be flakier. For any help converting between cups and tablespoons, or any other units such as teaspoons, grams, etc, give our cooking converter a try. Can I use dried basil in place of fresh? So, you need to make sure that you can easily convert cups to tablespoons as well as tablespoons to cups on your own. Convert volume and capacity culinary measuring units between cup Australian (cup) and tablespoons Metric (tbsp) but in the other direction from tablespoons Metric into cups Australian also as per volume and capacity units.. Culinary arts school: volume and capacity units converter. How many tablespoons in one and a half cups of sugar? 3/4 cup = 12 tbsp. There is no way to make a round number of tablespoons fit into 1/3 cup. 1 half cup to tablespoons = 8 tablespoons. 1/4 tsp. 5 half cup to tablespoons = 40 tablespoons. 5 tablespoons and one teaspoon = 1/3 cup; 8 tablespoons = 1/2 cup; 16 tablespoons = 1 cup; 2 tablespoons = 1 fluid ounce; 2 cups = one pint; 2 pints = 1 quart; 4 quarts = 1 gallon; Share options. Furthermore, you want to know the equivalent measurement of ⅓ cup in tablespoons. Cups. okay there are 16 tbls in 1 cup, so that mean that there are 5 tablespoons plus 1 teaspoon in 1/3 of a cup. Here are some common measurements for dry ingredients. Here are some of the things that you need to keep in mind about them: How many tablespoons in 1/3 cup [Convert]. If you need 1/3 egg, use 1 tablespoon. Here’s how we calculate it:1/2 x 2/3 = 2/6 = 1/3 So, a half of ⅔ cup is equal to ⅓ cup. is the same thing than stating that: 2 X 1/3 cups of flour = 2 X 5.33 Tablespoons. 1 tablespoon = 16 cups (US) Click here for more detail and the cups to tablespoons converter. Half of 1/8 cup = 1 tbsp. But when it comes to downsizing your recipe, the whole cooking conversions would be a challenge and might lead to some errors. How many tablespoons are in a cup? There is no way to make a round number of tablespoons fit into 1/3 cup. 2 X 1/4 cups = 16 Tablespoons. One customary cup is equal to 236.5882365 millilitres. How many tablespoons are in 1/4 cup? Notice that this converter was created thinking about the US tablespoon as well as the US cup. If you need 1/2 an egg, use 1 1/2 tablespoons. Well, in this case, you will need to make the opposite conversion. Conversions. There are 16 tablespoons in one cup. Conversions. One tablespoon of butter is equal to 1/8 of a stick or 1/2 ounce. Let’s imagine that your recipe tells you to add 80 tablespoons of chocolate. To make things simple, I've created a reference chart for converting one cup, 1/4 cup, 1/2 cup, 1/3 cup, etc, to tablespoons (and teaspoons) and converting the other way: tablespoons to cups. 1/2 tablespoons = 11/2 teaspoon. So, you will need to consider that: 1/3 Cup = 5.33 Tablespoons. All In One Unit Converter When you need to mix butter, you shouldn’t do it at a high speed. So, you would now need to add the 80 to the Tablespoons field this time (the second one). Most measurements are listed in ounces, cups, teaspoons and tablespoons. When you are following an American recipe, it is normal to see that most of them will call for butter in sticks. One of the things that you should really consider doing is to weigh the butter that you need all the time. Half of 1/2 cup = 4 tbsp. In case you are wondering the reason, sometimes it is easier to measure one specific ingredient using one measurement utensil over the other one. So, you can then state that there are 16 tablespoons in 2 X 1/2 cups. As you know, no matter if you are cooking or baking, one of the most frequently used ingredients is butter. So, 1/4 cup times 16 is equal to 4 Tablespoons. While there are other measurement conversions that you may need to do, you probably already noticed that using 1/3 cup is very common. To halve an egg, break it, mix it together with a fork and use 2 tablespoons. 1 Cup = 16 Tablespoons (exact result) Display result as. Convert granulated sugar measuring units from US cups ( cup us ) into tablespoons ( tbsp ), volume vs weights measures, including dietary information and nutritional values instantly. How many tablespoons are in a cup? After all, it is easier to see that if: 5 sticks of butter = 5/2 cups of butter = 2.5 cups of butter. ›› Quick conversion chart of half cup to tablespoons. Delish.com Half of 1/3 cup is even trickier. In fact, they haven’t been using cups for measuring ingredients since the 1960s. We assume that you are cooking or baking and your recipe calls for ¼ cup of an ingredient. 1/2 tbsp = 1-1/2 tsp. So, let’s see how you can easily do it on your own and without using our converter. In nutrition labeling in both the United States and the United Kingdom, a tablespoon is defined as 15 ml. Original Recipe Measure Half Scaled Measure Double Scaled Measure; 1/8 tsp. For example, 1 tablespoon can be written as 1 tbsp, 1 T, 1 Tbls, or 1 Tb. Just type the number of cups into the box and the conversion will be … There is no question that sticks of butter can be pretty handy on some occasions. However, if you take a look at French butter, it may surprise you that it needs to contain a minimum of 82% fat. However, when you need to do this, you want to ensure that you do it the right way. 5 half cup to tablespoons = 40 tablespoons. "One half of 1/3" is called 'one sixth'. So, this means that there are 0.75 1/2 cups in 6 tablespoons. However, butter is measured and weighted in a different way depending on you are located in the world. Just so that you know, there are eight tablespoons in a stick. 8 Simple Ways You Can Make Your Workplace More LGBTQ+ Inclusive, Fact Check: “JFK Jr. Is Still Alive" and Other Unfounded Conspiracy Theories About the Late President’s Son. Each one of these sticks weighs 110 grams or 1/4 pound each, which is also equal to 1/2 cup. To. 1 large egg is approx. When reducing the size of a recipe, you will also want to reduce the size of the pan you are using. Type in your own numbers in the form to convert the units! The usual substitution is 1 teaspoon dried (chopped or crumbled) dried herb in place of 1 tablespoon fresh. 1/8 cup = 2 tablespoons. If you gather a bunch of American recipes that have butter as an ingredient, it will be easy for you to notice that they vary a lot in what concerns measuring butter. 10 half cup to tablespoons = 80 tablespoons The cup is a unit of measurement that is currently used to measure both bulk foods and liquids. Cup Weight; 1 cup butter or margarine: 250g: 3/4 cup butter or margarine : 185g: 1/2 cup butter or margarine : 125g: 1/3 cup butter or margarine : 80g: 1/4 cup butter or margarine : 60g: 3 tablespoons butter or margarine : 60g: I tablespoon butter or margarine: 20g: 1 teaspoon butter or margarine: 5g Five tablespoons and 1 teaspoon are the equivalent of 1/3 cup. Use this page to learn how to convert between cups and tablespoons. MyRecipes. The truth is that this way, it will heat and lose its emulsion. The truth is that before you use the guide on the package or add to your measuring cup, just use a scale to get its accurate weight. We assume that you are cooking or baking and your recipe calls for ⅓ cup of an ingredient. 1 Cup [Metric] = 14 Tablespoons [UK] 1 Cup [Metric] = 12.5 Tablespoons [Australia] This means that there are 16 US tablespoons in one US cup, 14 tablespoons in 1 metric cup and 12.5 Australian tablespoons in one metric cup. Answer (1 of 6): There are a number of ways of finding out how many tablespoons equals one third of a cup of stick butter. Some liquid measuring cups are marked in ounces as well as quarter cup, half cup and full cup marks. One of the things that you need to know about tablespoons is that they are not all the same everywhere and not even within the same country. Whenever you need yo work with butter that has been defrosted, then you need to make sure that you don’t defrost it in a microwave, The main reason is that if you do it, you will simply destroy the emulsion. 1/8 tsp. Therefore, when you need to use a cup to measure an ingredient, you should stick to standardized cups. 3/4 cup = 12 tablespoons. To convert cups to tablespoons, multiply the cup value by 16. The result value is US tablespoons To make things simple, I’ve created a reference chart for converting one cup, 1/4 cup, 1/2 cup, 1/3 cup, etc, to tablespoons (and teaspoons) and converting the other way: tablespoons to cups. A tablespoon is equal to 3 teaspoons, however, so 5 1/3 tablespoons are also equivalent to 1/3 cup. They usually start at ¼ cup and going up to 1 cup. For example, you may keep in your mind that 1 stick of butter is equal to 1/2 cup of butter. Nevertheless, you can measure butter in many different ways and these include pounds, ounces, cups, and tablespoons. One US cup is equal not only to 16 US tablespoons but it is also equivalent to 48 U.S. customary teaspoons, 8 U.S. customary fluid ounces, and 1/16 U.S. customary gallons. And this is just the direct consequence of the higher butterfat content. A tablespoon is equal to 3 teaspoons, however, so 5 1/3 tablespoons are also equivalent to 1/3 cup. One cup Australian in volume and capacity sense converted to tablespoons Metric equals precisely to 16.67 tbsp How many tablespoons Metric of volume and capacity system are in 1 cup Australian? There are 16 Tablespoons in 1 3 cup To convert any value in cups to Tablespoons, just multiply the value in cups by the conversion factor 16 . A U.S. cup is a unit of volume equal to 1/16th of a U.S. gallon, or about 236 milliliters. The number of tablespoons that adds up to 3/4 cup is 12, so divide 12 in half and add 6 tablespoons of sugar to your recipe for half of 3/4 cup. Zane DuMont/Demand Media Use a tape measure or ruler to calculate the height of the 3/4 cup you're using. This same formula applies to the British imperial system since an imperial cup also holds 16 imperial tablespoons. If you are in the United States, then that’s not a surprise to know that butter is only available in half a pound or 1 pound packages. In case you usually follow recipes from the United Kingdom, that it is highly unlikely that you find measuring cups in there. 1/3 cup = 5 tbsp + 1 tsp. These measurements are meant to be used when measuring liquids or powders for recipes. It is traditionally equal to half a liquid pint in either US customary units or the British imperial system but is now separately defined in terms of the metric system at values between 1⁄5 and 1⁄4 of a liter. The result value is US tablespoons To make things simple, I’ve created a reference chart for converting one cup, 1/4 cup, 1/2 cup, 1/3 cup, etc, to tablespoons (and teaspoons) and converting the other way: tablespoons to cups. Breaking everything down into tablespoons … 2/3 cup = 10 tablespoons plus 2 teaspoons. 10 … Zane DuMont/Demand Media Use a tape measure or ruler to calculate the height of the 3/4 cup you're using. Besides, more fat also means faster melt, a softer texture, and a deeper yellow color. 1/2 tsp. Here are some common measurements for dry ingredients. For example, if converting from US cups to tablespoons, then multiply the cup value by 16. To convert any value in cups to Tablespoons, just multiply the value in cups by the conversion factor 16. 1 cubic meter is equal to 4226.7528198649 cup, or 70390.159455708 tablespoon [UK]. Below, we display ⅓ cup and how many tablespoons it equals: So, you will need to consider that: 1 Half (1/2) Cup = 8 Tablespoons 2 X 1/3 cups of flour = 10.66666 Tablespoons. For example, if you're wondering how many tablespoons equal 1/3 cup, you will want to know that there are five 1/3 tablespoons in one-third of a cup. tablespoon = cup * 16. 1 cup = 16 tbsp. So, when you are baking, you should always prefer to use European butter if you have the chance to do it. Tablespoon measurement is common in the United States but is not a commonly used form of measurement in other countries. Other hand also at home when you try to make a cake or pudding you need to put milk about 1/3 cup or 2/3 cup or something else. How Does the 25th Amendment Work — and When Should It Be Enacted? So 1/2 of 1/3 C = 8 ts. The one that always trips me up, and that I only recently committed to memory, is how many tablespoons in 1/3 cup. Sooo for 1/3 of a cup, to be exact you would need 5 tablespoons and one teaspoon. 1/4 tsp. For example, to find out how many tablespoons there are in 1/4 cup, multiply 16 by 0.25, that makes 1/4 cup is 4 tbsp. Measuring cups come in different sizes. Well, in this case, you will need to make the opposite conversion. Half of 1/3 cup is even trickier. As you can see, there are 16 tablespoons in 3 X 1/3 cup. 5 tablespoons and one teaspoon = 1/3 cup; 8 tablespoons = 1/2 cup; 16 tablespoons = 1 cup; 2 tablespoons = 1 fluid ounce; 2 cups = one pint; 2 pints = 1 quart; 4 quarts = 1 gallon; Share options. Half of 3/4 cup = 6 tbsp. Since 16 tablespoons = 1 cup, there are 4 tablespoons in a quarter cup. You can also find sets that give you a 2/3 cup and ¾ cup. You can also find sets that give you a 2/3 cup and ¾ cup. So, if you prefer to use tablespoons, all you need to do is to add 3 to the Cups field and then check the result in tablespoons in the next field of our converter. There are 15 milliliters and ½ fluid ounces in one US tablespoon. So 20 tablespoons will equal 1 cup and 4 Tablespoons.... How Many Tablespoons Equal 1/3 Cup? Below, we display ¼ cup and how many tablespoons it equals: ¼ cup 4 tablespoons Do you have another cup Type in your own numbers in the form to convert the units! Milliliters aren't used in the United States for cooking and baking. Here are the main differences regarding butter around the world: The truth is that butter is different across the countries in terms of fat that it includes. Hi, 1/3 cup would equal 5 tablespoons plus 1 teaspoon butter. This online cooking granulated sugar conversion tool is for culinary arts schools and certified chefs. Australian tablespoons are larger, measuring about 20 milliliters. Here’s a listing of how many tablespoons and teaspoons are in larger measuring cup amounts. 1/3 cup = 5 tablespoons + 1 teaspoon. Half of 1/3 cup = 2 tbsp + 2 tsp. Most measurements are listed in ounces, cups, teaspoons and tablespoons. So now we know how many tablespoons are in 1/3 of a cup, it is easy to work out 2/3 of a cup. Convert how many tablespoons (tbsp) of granulated sugar are in one 1 US cup (cup us). Close. How many tablespoons in a cup? 1 Half (1/2) Cup = 8 Tablespoons. For example, to calculate how many tablespoons is 1/4 cup of water, multiply 0.25 by 16, that makes 4 tbsp is 1/4 cup of water. Well, in this case, you will need to make the opposite conversion. is the same thing than stating that: 1 tablespoon (US) = 0.125 1/2 cup (US) Considering that you are now looking to convert 6 tablespoons into cups: 6 tablespoons (US) = 6 X 0.125 1/2 cup (US) 6 tablespoons (US) = 0.75 1/2 cup. 1 half cup to tablespoons = 8 tablespoons. And the reason is simple. If you take a closer look at the wrapping on each stick, then you will see that it also has some marks showing tablespoon measurements. A tablespoon of liquid is 14.7 milliliters, so a half tablespoon equals 7.3 milliliters. 1 cup = 16 tablespoons ; 3/4 cup = 12 tablespoons ; 1/2 cup = 8 tablespoons ; 1/3 cup = 5 tablespoons plus 1 teaspoon ; 1/4 cup = 4 tablespoons ; 1 tablespoon = 3 teaspoons ; Weigh It Half of 1/4 cup = 2 tbsp. Some liquid measuring cups are marked in ounces as well as quarter cup, half cup and full cup marks. Well, in that case, you can also use our converter. In both imperial and US customary systems, one cup is equal to a half a pint. There are 16 Tablespoons in 1 4 cup To convert any value in cups to Tablespoons, just multiply the value in cups by the conversion factor 16 . 1/8 cup = 2 tbsp. So, during the creaming process, you need to ensure that you keep your mixer at a relatively low speed. Milliliters. The reality is that between cups, tablespoons, ounces, grams, milliliters, among so many others, these can all be a bit confusing. Reducing a recipe by one-third can come in handy when halving still yields too much food: One third of ¼ cup is equivalent to 1 tbsp + 1 tsp. Cup Weight; 1 cup butter or margarine: 250g: 3/4 cup butter or margarine : 185g: 1/2 cup butter or margarine : 125g: 1/3 cup butter or margarine : 80g: 1/4 cup butter or margarine : 60g: 3 tablespoons butter or margarine : 60g: I tablespoon butter or margarine: 20g: 1 teaspoon butter or margarine: 5g A U.S. cup is a unit of volume equal to 1/16th of a U.S. gallon, or about 236 milliliters. Half of 1/2 cup = 4 tbsp. As we already mentioned, a tablespoon is also a unit of volume that you can use to measure both dry and liquid ingredients. Close. They usually start at ¼ cup and going up to 1 cup. We have the answer for you. We believe that the better you understand, the easier it will be for you to make conversions. Before we explain to you exactly how many tablespoons in 1/3 cup there are, we believe that it is important that you understand a bit more about each one of the units of measurement that we are covering today – cups and tablespoons. So, you could simply add 3.75 1/3 cups of chocolate to your recipe instead of adding 80 tablespoons. 1 US Cup = 16 US Tablespoons. So, 1/3 cup times 16 is equal to 5 1 3 Tablespoons. ›› Quick conversion chart of half cup to tablespoons. A tablespoon of flour is equal to 3 teaspoons or 1/16 of a cup. When you are trying to determine how many tablespoons are in 1/3 cup, it is always easier and faster to have a converter like the one that is located at the top of this page near you. Advertising this … So, here are a couple of tips that will help you out in this process: When you tend to use butter quite often on your recipes, the last thing that you want or need is to keep getting back here to calculate the amount of butter that you need to measure and weigh. Another way to know that it is at the right temperature is that when you have a cube that simply blends easily without cracking or breaking. There are 5.26 tablespoons in a 1/3 cup of butter. If you are still confused, take a look at the below video for a simple explanation of how liquid conversations work. One cup of butter is equal to 2 sticks, or 1/2 pound. Half of 1/3 cup is 1/2 * 16 tsp = 8 tsp. Inputs? 1/3 Cup = 5.33 Tablespoons. There are 16 tablespoons in a cup, there are 3 teaspoons in a tablespoon. One tablespoon is exactly the same as 3 teaspoons as well as it is exactly the same as half fluid ounce. And this can be a bit confusing when you are trying to determine how many tablespoons 1/3 cup butter. Use this page to learn how to convert between half cup and tablespoons. cups to tablespoons formula. Tablespoon and cup conversions. A U.S. tablespoon is a unit of volume equal to 1/16 th of a U.S. cup. As soon as you do this, our converter will immediately tell you how many tablespoons there are in the specific number of 1/3 cups that you wrote. So, let’s get started. The number of tablespoons that adds up to 3/4 cup is 12, so divide 12 in half and add 6 tablespoons of sugar to your recipe for half of 3/4 cup. Milliliters aren't used in the United States for cooking and baking. Refrigerate the rest and use in an omelet or scrambled eggs within two to four days. What about if you need to add 12 tablespoons of syrup to a recipe? ( One sixth of a cup is 1.333 tablespoons ) The truth is that using cups can be a bit confusing since you may have the tendency to use a drinking cup. Learn More. 1/3 + 1/3 +1/3 = (1 + 1 + 1) / 3 = 3/3 = 1 cup. There are 16 Tablespoons in 1 3 cup To convert any value in cups to Tablespoons, just multiply the value in cups by the conversion factor 16 . 3 teaspoons (tsp) = 1 tablespoon (Tbsp) 4 Tbsp = ¼ cup (c.) 5 1/3 Tbsp = 1/3 c. 8 Tbsp = ½ c. 12 Tbsp = ¾ c. 16 Tbsp … 1/4 cup = 4 tablespoons. If you are still confused, take a look at the below video for a simple explanation of how liquid conversations work. There are 5.26 tablespoons in a 1/3 cup of butter. A 9 x 13-inch pan holds 14 to 15 cups; when halving a recipe use a square 8 x 8-inch pan or a round 9-inch pan. If you take a look at the top of this page, you will see that we have created a converter for you so that you can easily and quickly determine how many tablespoons in 1/3 cup. So, you will need to consider that: Considering that you are now looking to convert 12 tablespoons into cups: 12 tablespoons (US) = 12 X 0.1875 1/3 cup (US). The truth is that you can tell if it is at the right temperature whenever you have it wrapped and the butter leaves a bit of residue on the wrapping. There are 16 tablespoons in a cup, which equals out to a little less than 5 and a half (5 1/2) tablespoons in a third cup (1/3 cup). Easy peasy, right? What’s half of 1/3 cup in tablespoons? Login. MyRecipes. How many tablespoons in a cup? But you don’t have these types of measurement cups. Since 1/3 of a whole account for 33 percent or .33 of it, .33 of 16 tablespoons is 5.26 tablespoons. Half of 1/8 cup = 1 tablespoon. After all, in case you don’t know: Since you wanted to add 3 1/3 cups, this is the same as saying that you would need to use: In case you don’t know or don’t remember fractions rules for addition, then you just need to keep in mind that when you have a common denominator (as we do in this case), you just need to sum the numerators and maintain the denominator. 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