Dividing Fractions and Mixed Numbers Explained

Because division of fractions involves multiplication by the reciprocal

Because division is the same as addition

Because division does not involve fractions

Because division is easier than multiplication

Convert fractions to mixed numbers

Subtract the fractions

Add the fractions

Convert mixed numbers to improper fractions

Keep the second fraction the same

Keep the first fraction the same

Keep the operation the same

Keep the fractions as mixed numbers

Subtractive inverse

Multiplicative inverse

Additive inverse

Divisive inverse

3/2

1/2

2/1

3/1

1/5 times 2/3

5/1 times 2/3

2/3 times 1/5

2/3 times 5/1

2/5

3/10

5/3

10/3

13/3

3/4

12/3

4/3

5/2

2/5

4/2

3/2

10/13

13/10

15/26

26/15