Equivalent fractions (age 9+)
Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
If your child needs to make 2/3 look different without changing its value, can they multiply the top and bottom by the same number and explain why the fraction stays the same?
Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
No reviewed resources for this concept yet.
The teaching approach above still stands. Curated practice links — and later lock-ranked options — will appear here as the shelf fills.
Explore the learning path
2 before · 6 after
Before
This concept
Check understanding
- Use a fraction strip to show 2/3 = 4/6 = 6/9
- Explain that multiplying numerator and denominator by the same number gives an equivalent fraction because the size of the whole is unchanged
- Generate three fractions equivalent to 3/5 and verify with diagrams
“If your child needs to make 2/3 look different without changing its value, can they multiply the top and bottom by the same number and explain why the fraction stays the same?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 9–10