Grade 4 Fractions: Multiplying Fractions

Worked examples

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

1. Example 1

   4 × 1/8 = ?

   1. 4 × 1/8 means 4 groups of 1/8.
   2. Multiply the whole number by the numerator: 4 × 1 = 4. The denominator stays 8.
   3. So 4 × 1/8 = 4/8.

   Answer: 4/8

2. Example 2

   A recipe uses 1/3 of a cup of sugar. How much sugar is needed for 8 batches?

   1. Write the story as a number sentence: 8 × 1/3.
   2. 8 × 1/3 means 8 groups of 1/3.
   3. Multiply the whole number by the numerator: 8 × 1 = 8. The denominator stays 3.
   4. So 8 × 1/3 = 8/3.

   Answer: 8/3

3. Example 3

   Jonah reads for 1/2 of an hour each night. How many hours does Jonah read in 3 nights?

   1. Write the story as a number sentence: 3 × 1/2.
   2. 3 × 1/2 means 3 groups of 1/2.
   3. Multiply the whole number by the numerator: 3 × 1 = 3. The denominator stays 2.
   4. So 3 × 1/2 = 3/2.

   Answer: 3/2