Refer to the equations below for clarification. If possible, the solution should be simplified. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator and denominator. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. Multiplying fractions is fairly straightforward. Refer to the addition section as well as the equations below for clarification.
A common denominator is required for the operation to occur.
EX:įraction subtraction is essentially the same as fraction addition. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators. The first multiple they all share is 12, so this is the least common multiple. The least common multiple is the first shared multiple of these three numbers. In the example above, the denominators were 4, 6, and 2. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. EX:Īn alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem. This process can be used for any number of fractions.
However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). This is arguably the simplest way to ensure that the fractions have a common denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. Fractions can undergo many different operations, some of which are mentioned below. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5Īs shown in the image to the right. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. A more illustrative example could involve a pie with 8 slices. , the numerator is 3, and the denominator is 8. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. It consists of a numerator and a denominator. In mathematics, a fraction is a number that represents a part of a whole. There are an infinite number of fractions that are equivalent to 3/4.Use this calculator if the numerators or denominators are very big integers. How many fractions are equivalent to 3/4? It can also help in simplifying fractions and making calculations easier. Knowing fractions that are equivalent to 3/4 can be useful in a variety of situations, such as when comparing or adding fractions. Why is it useful to know fractions that are equivalent to 3/4? For example, if you multiply both the numerator and denominator of 3/4 by 2, you get 6/8, which is equivalent to 3/4. To find fractions that are equivalent to 3/4, you can multiply or divide both the numerator and denominator of 3/4 by the same number. FAQs: How can I find fractions that are equivalent to 3/4? If an interest rate is 3/4 percent, we can use fractions equivalent to 3/4 such as 6/8 or 9/12 to calculate the interest on a loan or investment. Finance:įractions are used in finance to calculate interest rates and percentages. For example, if a piece of wood needs to be cut to a length of 3/4 inch, we can use fractions equivalent to 3/4 such as 6/8 or 12/16 if we do not have a ruler that can measure exactly 3/4 inch. Construction:įractions are often used in construction to measure distances and dimensions. If a recipe calls for 3/4 cup of flour, we can use fractions equivalent to 3/4 such as 6/8 or 9/12 if we do not have exactly 3/4 cup of flour. In cooking, recipes often call for fractions of ingredients.
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