Division of Fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction a/b is b/a. It is obtained by flipping the numerator and denominator.

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, add the numerator, and place the result over the original denominator.

Front

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

Back

Dividing a whole number by a fraction is equivalent to multiplying the whole number by the reciprocal of the fraction.

Front

What is the result of 2/5 ÷ 3/4?

Back

The result is 8/15.

Front

If Fran has 7 sheets of paper and uses 1/3 of a sheet per drawing, how many drawings can she make?

Back

Fran can make 21 drawings.

Front

What fraction division problem is modeled by ⅗ ÷ 1/10?

Back

The problem is modeled as ⅗ ÷ 1/10 = 6.

Front

What is the result of 5 ÷ ⅕?

Back

The result is 25.

Front

What is the result of 9/10 ÷ 9/11?

Back

The result is 1 1/10.

Front

What is a common mistake when dividing fractions?

Back

A common mistake is to multiply the fractions instead of using the reciprocal of the second fraction.