Mixed numbers and improper fractions
Recognise mixed numbers and improper fractions; convert from one form to the other (e.g. 2/5 + 4/5 = 6/5 = 1 1/5)
Lesson
Set out your lesson
Regroup unit fractions into wholes and convert mixed and improper forms without changing the unit size.
Before teaching
Use this short check, then start teaching.
Ask how many fifths make one whole and why. If unit fractions or the terms mixed and improper are unfamiliar, revisit those prerequisites first. Hard prerequisite lesson-source availability is checked separately; availability is not learner readiness.
Check learner readiness directly; prerequisite lesson availability is not evidence of attainment.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Locating Fractions Greater than One on the Number Line
Before you open · source notes
Fractions greater than one on a number line support mixed numbers and improper fractions. Not every decimal equivalent.
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 place one improper fraction and name a matching mixed number.
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. “Locating Fractions Greater than One on the Number Line.” 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
- Convert 11/4 to 2 3/4
- Convert 3 2/5 to 17/5
- Write 6/5 + 4/5 = 10/5 = 2 as both improper fraction and whole number
“If your child sees the fraction 9/4, can they convert it to a mixed number — and then turn 2 and 3/5 back into an improper fraction?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 9–11
Standards