MULTIPLYING AND DIVIDING FRACTIONS

Front

What is multiplying fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, to multiply 2/3 by 3/4, you multiply 2 x 3 = 6 (numerators) and 3 x 4 = 12 (denominators), resulting in 6/12, which simplifies to 1/2.

Front

What is dividing fractions?

Back

Dividing fractions means multiplying by the reciprocal of the second fraction. For example, to divide 1/2 by 1/4, you multiply 1/2 by the reciprocal of 1/4, which is 4/1. So, 1/2 ÷ 1/4 = 1/2 x 4/1 = 4/2 = 2.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 5 is 1/5, and the reciprocal of 2/3 is 3/2.

Front

What is the reciprocal of 6⅔?

Back

The reciprocal of 6⅔ is 3/20.

Front

What is the reciprocal of 5?

Back

The reciprocal of 5 is 1/5.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 6/8, divide both by 2 to get 3/4.

Front

What is 1/2 of 3/4?

Back

1/2 of 3/4 is calculated by multiplying: 1/2 x 3/4 = 3/8.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 2 1/3 = (2 x 3 + 1)/3 = 7/3.

Front

What is the product of 2/2 and 3/2?

Back

The product of 2/2 and 3/2 is (2 x 3)/(2 x 2) = 6/4.

Front

How do you divide 1/2 by 3?

Back

To divide 1/2 by 3, multiply 1/2 by the reciprocal of 3, which is 1/3. So, 1/2 ÷ 3 = 1/2 x 1/3 = 1/6.