Fraction Addition Concepts
Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way
Lesson
Set out your lesson
Join, separate and decompose fractions of the same whole while keeping a fixed denominator.
Before teaching
Use this short check, then start teaching.
Ask how two copies of 1/8 can be combined and why the result is not 2/16. If the unit size is confused, revisit unit fractions and same-denominator addition. 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
Writing a Mixed Number as an Equivalent Fraction
Before you open · source notes
A mixed number is rewritten as an equivalent improper fraction. Use it for fraction addition building blocks, not every mixed-number operation.
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 rewrite one mixed number as an improper fraction and explain the whole and leftover parts.
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 2026-11-11 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. “Writing a Mixed Number as an Equivalent Fraction.” 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
- Show that 3/8 = 1/8 + 1/8 + 1/8 and also 3/8 = 1/8 + 2/8
- Write two different decompositions of 5/6
- Use a visual model to justify a decomposition of 2 1/8 into whole-number and fraction parts
“If your child has 7/8 of a chocolate bar and gives away 3/8, can they work out what fraction is left — and then show two different ways to split 7/8 into two parts?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 9–13
Standards