Times tables and fractions

Quick answer

Learning outcome

• You can find equivalent fractions using multiplication or division
• You can simplify fractions to their lowest terms
• You can compare fractions using times tables
• You can solve real-life problems using fraction and times table skills

Why this matters

How it works

• Fractions show parts of a whole
• Equivalent fractions are the same amount but written differently
• You can make equivalent fractions by multiplying or dividing both the numerator and denominator by the same number
• Times tables help you find those numbers quickly

Examples you can see

• 1/2 means 1 part out of 2 parts
• You need to make the denominator 8, so you multiply by 4
• 1 × 4 = 4
• 2 × 4 = 8
• So 1/2 = 4/8

• Find a times table fact that goes into both 6 and 12
• 6 × 2 = 12, so you can divide by 6
• 6 ÷ 6 = 1
• 12 ÷ 6 = 2
• So 6/12 = 1/2

• Convert them to have the same denominator
• 2 × 2 = 4, so 2/3 = 4/6
• 4/6 = 4/6
• So 2/3 = 4/6

Try it as a mini adventure

• What times table can you use to change 2/4 into 6/12?
• 2 × 3 = 6
• 4 × 3 = 12
• So 2/4 = 6/12

• What number goes into both 8 and 16?
• 8 × 1 = 8
• 16 ÷ 8 = 2
• So 8/16 = 1/2

• Make them both have the same denominator
• 3 × 2 = 6
• 5 × 2 = 10
• So 3/5 = 6/10
• They are the same!

Common mistakes

• Mistake: When making equivalent fractions, only multiply the top or bottom number.
  Why it happens: Children forget that you must do the same thing to both numbers.
  Fix: Remember: multiply both numerator and denominator by the same number.
• Mistake: When simplifying fractions, divide by the wrong number.
  Why it happens: Not knowing times tables well.
  Fix: Find the biggest number that goes into both numbers using times tables.
• Mistake: Thinking that 1/2 and 2/4 are different.
  Why it happens: Not understanding that they represent the same amount.
  Fix: Use drawings or objects to see they are equal parts.

Parent and carer guide

• Use everyday examples like sharing food or dividing toys
• Practice times tables together, especially for multiplication facts that help with fractions
• Draw pictures or use actual objects (like counters or blocks) to show fractions
• Encourage your child to explain their thinking, not just give answers
• Be patient if they make mistakes – they're learning!
• Play fraction games or use apps that involve multiplication and fractions

Practice questions

1. Find an equivalent fraction for 2/3 with denominator 9.
2. Simplify 10/15.
3. Compare 3/4 and 6/8 using times tables.
4. Find an equivalent fraction for 4/5 with denominator 15.
5. Simplify 12/24.

1. 6/9
2. 2/3
3. They are equal: 3/4 = 6/8
4. 12/15
5. 1/2

FAQ

What is the connection between times tables and fractions?

Times tables help you find equivalent fractions and simplify fractions. When you know that 2 × 3 = 6, you can quickly see that 2/3 = 6/9.

How do I know which times table to use for equivalent fractions?

Look at what you need to change the denominator to. If you need to go from 4 to 12, think: 4 × 3 = 12. So multiply both numerator and denominator by 3.

Why do we need to simplify fractions?

Simplifying fractions makes them easier to understand and work with. It's like having 1/2 of a pizza instead of 4/8 of a pizza.

Can I use division to find equivalent fractions?

Yes! You can divide both the numerator and denominator by the same number to find equivalent fractions. This is how you simplify fractions.

How can I practice at home?

Use cooking recipes, share snacks with friends, or play fraction games. Every time you use fractions, practice using times tables to help you.