Year 6 · Maths · Fractions · Lesson 6
Dividing fractions and fractions of amounts
Divide proper fractions by whole numbers, find fractions of amounts, and solve reverse fraction problems.
21-minute video lesson
Teaching, worked examples and 20 practice questions solved step by step.
Watch free for a monthWhat your child will learn
- Divide a fraction by a whole number
- Find a fraction of an amount
- Solve word problems
- Find the whole from a part
The method
- Does the numerator divide exactly?
- Yes: divide the numerator.
- No: multiply the denominator.
- Simplify.
Key words: divide, fraction of an amount, numerator, denominator, whole.
Worked examples
The first three practice questions from the lesson, with every step.
Question 1
Work out 6/7 ÷ 3.
- Step 1: 6 ÷ 3 = 2
- Step 2: 6/7 ÷ 3 = 2/7
Answer: 2/7
Question 2
Work out 8/9 ÷ 4.
- Step 1: 8 ÷ 4 = 2
- Step 2: 8/9 ÷ 4 = 2/9
Answer: 2/9
Question 3
Work out 1/4 ÷ 2.
- Step 1: 1 ÷ 2 doesn't divide exactly
- Step 2: 1/4 ÷ 2 = 1/8
Answer: 1/8