Dividing Fractions Examples

Dividing Fractions for help with understanding fraction concepts.

Here are some various examples of different fractions being divided. Feel free to practice your work with our calculators.

 

How to Divide Fractions?

Example: For dividing the fractions 10/15 and 1/5, you first find the reciprocal of the second fraction. The reciprocal of 1/5 is 5/1 . You then multiply the first fraction by the reciprocal of the second fraction.

10/15 ÷ 1/5
is the same as
10/15 x 5/1

The answer is 50/15 , reduced the simplest form is 10/3 .

3/4 Divided by 2

Example: For dividing the fraction 3/4 and 2, you change the 2 to a fraction like (2/1). Then you first find the reciprocal of the second fraction. The reciprocal of 2/1 is 1/2 . You then multiply the first fraction by the reciprocal of the second fraction.

3/4 ÷ 2/1
is the same as
3/4 x 1/2

The answer is 3/8 , in the simplest form.

1/3 Divided by 2

Example: For dividing the fraction 1/3 and 2, you change the 2 to a fraction like (2/1). Then you first find the reciprocal of the second fraction. The reciprocal of 2/1 is 1/2 . You then multiply the first fraction by the reciprocal of the second fraction.

1/3 ÷ 2/1
is the same as
1/3 x 1/2

The answer is 1/6 , in the simplest form.

3 Divided by 1/3

Example: For dividing the number 3 by 1/3, you change the 3 to a fraction like (3/1). Then you first find the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1 . You then multiply the first fraction by the reciprocal of the second fraction.

3/1 ÷ 1/3
is the same as
3/1 x 3/1

The answer is 9/1 or, 9 in the simplest form.

1/4 Divided by 2

Example: For dividing the fraction 1/4 and 2, you change the 2 to a fraction like (2/1). Then you first find the reciprocal of the second fraction. The reciprocal of 2/1 is 1/2 . You then multiply the first fraction by the reciprocal of the second fraction.

1/4 ÷ 2/1
is the same as
1/4 x 1/2

The answer is 1/8 , in the simplest form.

11/2 Divided by 2

Example: For dividing the fraction 11/2 and 2, you change the mixed number 11/2 to a fraction. In this case, 11/2 becomes 3/2. You then convert the 2 to a fraction like (2/1). Now you first find the reciprocal of the second fraction. The reciprocal of 2/1 is 1/2 . You then multiply the first fraction by the reciprocal of the second fraction.

3/2 ÷ 2/1
is the same as
3/2 x 1/2

The answer is 3/4 , in the simplest form.

2/3 Divided by 2

Example: For dividing the fraction 2/3 and 2, you change the 2 to a fraction like (2/1). Then you first find the reciprocal of the second fraction. The reciprocal of 2/1 is 1/2 . You then multiply the first fraction by the reciprocal of the second fraction.

2/3 ÷ 2/1
is the same as
2/3 x 1/2

The answer is 2/6, or 1/3 in the simplest form.