Multiplying & Dividing Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole, consisting of a numerator (top number) and a denominator (bottom number).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 1/2 x 3/4 = (1x3)/(2x4) = 3/8.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2x2 + 1)/2 = 5/2.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, 1/2 ÷ 3/4 = 1/2 x 4/3 = 4/6 = 2/3.

Front

What is the result of multiplying a whole number by a fraction?

Back

To multiply a whole number by a fraction, convert the whole number to a fraction (e.g., 3 = 3/1) and then multiply. For example, 3 x 1/2 = 3/1 x 1/2 = 3/2.

Front

What is the process to add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators. For example, 1/4 + 1/3 = 3/12 + 4/12 = 7/12.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have the same denominator, then subtract the numerators. For example, 3/4 - 1/4 = (3-1)/4 = 2/4 = 1/2.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract them.