Mathematics·Fractions·conceptual
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
Suggested ages 9–10
Learning journey
Your child is exploring fractions, decimals, and percentages — understanding how they relate to each other, adding and subtracting fractions, and solving real-world problems involving these concepts.
Evidence of 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
Assessment prompt
If Equivalent fractions (age 9+) 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?
Standards alignment
No external standards are linked to this topic.