Year 7 · Maths · Fractions, decimals and percentages · Lesson 3
Comparing and ordering FDP
Compare and order fractions, decimals and percentages by converting to a common form, and solve comparison 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
- Recall common equivalents
- Compare two amounts in different forms
- Order mixed fractions, decimals and percentages
- Find a value between two amounts
- Solve comparison problems
The method
- Change everything to decimals (or percentages).
- Give each the same number of decimal places.
- Put them in order.
- Write the answer in the original form.
Key words: compare, order, fraction, decimal, percentage.
Worked examples
The first three practice questions from the lesson, with every step.
Question 1
Which is bigger: 1/2 or 45%?
- Step 1: Change both to decimals:
- Step 2: 1/2 = 0.5, 45% = 0.45
- Step 3: 0.5 > 0.45
Answer: 1/2
Question 2
Which is bigger: 0.65 or 3/5?
- Step 1: Change both to decimals:
- Step 2: 0.65 = 0.65, 3/5 = 0.6
- Step 3: 0.65 > 0.6
Answer: 0.65
Question 3
Which is bigger: 8% or 0.1?
- Step 1: Change both to decimals:
- Step 2: 8% = 0.08, 0.1 = 0.1
- Step 3: 0.1 > 0.08
Answer: 0.1