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
Lesson
Set out your lesson
Explain same-factor equivalence, including tenths and hundredths, rather than only memorising a rule.
Before teaching
Use this short check, then start teaching.
Ask for 1/3 in sixths with a same-whole sketch. If this is uncertain, use mt_FP-mjXaq3B first. Ask what the numerator and denominator count. This activity check is inferred, not a change to canonical edges. Source availability is not learner mastery.
Check learner readiness directly; prerequisite availability is not attainment.
Share and support
Family records and proof options
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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Doubling Numerators and Denominators
Before you open · source notes
Doubling numerators and denominators supports equivalent fractions. Not every percent conversion.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to make an equivalent fraction by doubling both parts and explain why it matches.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Doubling Numerators and Denominators.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
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 9–13
Standards