Dividing Fractions

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 3/5 is 5/3.

Front

How do you divide fractions?

Back

To divide fractions, keep the first fraction, change the division sign to multiplication, and take the reciprocal of the second fraction.

Front

What is 3/5 divided by 5/3?

Back

3/5 ÷ 5/3 = 3/5 × 3/5 = 9/25.

Front

If Phoebe spends 1/4 hour on each subject and 1 hour total, how many subjects does she have?

Back

Phoebe has 4 subjects because 1 hour ÷ 1/4 hour per subject = 4 subjects.

Front

Convert 5 3/4 into an improper fraction.

Back

5 3/4 = (5 × 4 + 3)/4 = 23/4.

Front

What is the quotient of 1 1/5 divided by 1/5?

Back

1 1/5 ÷ 1/5 = 6.

Front

What does 'keep, change, reciprocal' mean in dividing fractions?

Back

It means to keep the first fraction, change the division sign to multiplication, and take the reciprocal of the second fraction.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 23/4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, like 5 3/4.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the numerator of the proper fraction.