Grade 5 Fractions: Multiplying Fractions

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   3/5 × 1/2 = ?

   1. Multiply the numerators: 3 × 1 = 3.
   2. Multiply the denominators: 5 × 2 = 10.
   3. So 3/5 × 1/2 = 3/10.

   Answer: 3/10

2. Example 2

   3/4 × 3/8 = ?

   1. Multiply the numerators: 3 × 3 = 9.
   2. Multiply the denominators: 4 × 8 = 32.
   3. So 3/4 × 3/8 = 9/32.

   Answer: 9/32

3. Example 3

   2/6 × 2/5 = ?

   1. Multiply the numerators: 2 × 2 = 4.
   2. Multiply the denominators: 6 × 5 = 30.
   3. 2/6 × 2/5 = 4/30.
   4. The greatest number that divides both 4 and 30 is 2.
   5. Divide the top and bottom by 2: 4 ÷ 2 = 2 and 30 ÷ 2 = 15, so 4/30 = 2/15.
   6. So 2/6 × 2/5 = 2/15.

   Answer: 2/15