Solved Examples

Example 1: 

¼ ÷ ½

Solution:

Given, ¼ ÷ ½

Write the reciprocal of the second fraction and multiply it with the first fraction.

¼ × 2/1

Multiplying both numerators and denominators

1×2/4×1

2/4

Simplifying the fraction;

2/4 = ½ = 0.5

Example 2:

⅗ ÷ ⅔

Solution:

Following the same steps:

1. ⅗ ÷ ⅔ = ⅗ × 3/2
2. 3 × 3/ 5 × 2
3. 9/10=0.9

One more method to divide fractions is to make the denominator equal and then divide it.

Example 3:

¾ ÷ 3/2

Solution:

Given, ¾ ÷ 3/2

By making the denominator equal we get,

¾ ÷ 6/4

Now the denominators are the same, we can cancel both the denominator and write it as;

3/6 = ½ = 0.5

Practice Questions

Solve the following problems:

1. ⅔ ÷ ⅓ = ?
2. 3 ÷ ⅓ = ?
3. 5 ¾ ÷ ¼ = ?
4. ⅔ ÷ ⅙ = ?
5. 5 ½ ÷ 4 ⅓ = ?
6. ⅜ ÷ ⅞ = ?
7. ¼ ÷ 1/7 = ?
8. 7/11 ÷ ⅙ = ?
9. ⅖ ÷ ½ = ?
10. ⅓ ÷ 6/9 = ?