In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. 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.

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals.

Math Antics - Multiplying Fractions

Fields above the solid black line represent the numerator, while fields below represent the denominator. In mathematics, a fraction is a number that represents a part of a whole.

## Types of Fractions

It consists of a numerator and a denominator. 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. For example, in the fraction 3 5 , the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5 8 as shown in the image to the right.

## Fractions - BrainPOP

Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. The equations provided below account for this by multiplying the numerators and denominators of all of the fractions involved in the addition by the denominators of each fraction excluding multiplying itself by its own denominator.

Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. Multiplying the numerator of each fraction by the same factors is necessary, since fractions are ratios of values and a changed denominator requires that the numerator be changed by the same factor in order for the value of the fraction to remain the same. This is arguably the simplest way to ensure that the fractions have a common denominator.

Note that in most cases, the solutions to these equations will not appear in simplified form though the provided calculator computes the simplification automatically. An alternative to using this equation in cases where the fractions are uncomplicated would be to find a least common multiple and then add or subtract the numerators as one would an integer.

### Teach This Topic

Depending on the complexity of the fractions, finding the least common multiple for the denominator can be more efficient than using the equations. Refer to the equations below for clarification. Fraction subtraction is essentially the same as fraction addition.

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A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification. Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions.

What cards are better to get later in the game? Should you move the markers for fractions with larger or smaller denominators first? Knowing this, what is the fewest number of cards needed to complete the game?