Example 1: Find the mixed fraction division of 5 3/4 ÷ 2 1/2.
Solution: Convert into improper fraction i.e 5 3/4 = 23/4 and 2 1/2 = 5/2
Multiply first fraction with reciprocal of second fraction and convert into mixed fraction
i.e 23/4 × 2/5 = 15/10 = 2 3/10
Mixed fraction division of
5 3/4 ÷ 2 1/2 = 2 3/10.
Example 2: Find the mixed fraction division of 7 1/3 ÷ 4 2/5.
Solution: Convert into improper fraction i.e 7 1/3 = 22/3 and 4 2/5 = 22/5
Multiply first fraction with reciprocal of second fraction and convert into mixed fraction
i.e 22/3 × 5/22 = 5/3 = 1 2/3
Mixed fraction division of
7 1/3 ÷ 4 2/5 = 1 2/3.
Example 3: Find the mixed fraction division of 9 1/2 ÷ 3 3/4.
Solution: Convert into improper fraction i.e 9 1/2 = 19/2 and 3 3/4 = 15/4
Multiply first fraction with reciprocal of second fraction and convert into mixed fraction
i.e 19/2 × 4/15 = 38/15 = 2 8/15
Mixed fraction division of
9 1/2 ÷ 3 3/4 = 2 8/15.
Example 4: Find the mixed fraction division of 6 2/5 ÷ 2 4/9.
Solution: Convert into improper fraction i.e 6 2/5 = 32/5 and 2 4/9 = 22/9
Multiply first fraction with reciprocal of second fraction and convert into mixed fraction
i.e 32/5 × 9/22 = 144/55 = 2 34/55
Mixed fraction division of
6 2/5 ÷ 2 4/9 = 2 34/55.
Example 5: Find the mixed fraction division of 8 3/4 ÷ 5 1/3.
Solution: Convert into improper fraction i.e 8 3/4 = 35/4 and 5 1/3 = 16/3
Multiply first fraction with reciprocal of second fraction and convert into mixed fraction
i.e 35/4 × 3/16 = 105/64 = 1 41/64
Mixed fraction division of
8 3/4 ÷ 5 1/3 = 1 41/64.