Comparing fractions
Compare and order unit fractions, and fractions with the same denominator; at an early stage, compare and order the shares when one whole is shared among different numbers of people, using drawings and words
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Comparing fractions here means deciding which share is larger using drawings and words—especially unit fractions (one equal part of a whole) and fractions with the same denominator. Sharing one whole among more people makes each person’s unit share smaller (½ is larger than ⅓). Same-denominator fractions compare by numerator (¾ is more than ¼ of the same whole).
Spend about 15 minutes comparing unit fractions and same-denominator fractions with folded or drawn wholes, telling short sharing stories, then checking a fresh comparison.
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Illustrative Mathematics · Practice link — not the full lesson
Comparing Fractions Game
Before you open · source notes
Fraction cards compare fractions, including same-denominator pairs and unit-fraction pairs, and ask for an explanation. An adult selects those cards for this topic. Some cards go beyond one whole.
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Before you openThe card attachments were not fetched or tested. This is a partner discussion, not an automatic score. No CCSS or California tag is added.
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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 2026-11-10 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. “Comparing Fractions Game.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
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Check understanding
- Order 1/2, 1/3, 1/4, 1/5 from largest to smallest, or with drawings order the shares when one pizza is shared among 2, 3, 4 and up to 10 people
- Explain that a larger denominator (more sharers) means smaller unit fractions
- Compare 2/5 and 4/5 and explain that 4/5 is larger because it has more fifths
“If your child has eaten 3/8 of a cake and a friend has eaten 5/8 of the same cake, can they tell you who has eaten more — and put those fractions in order from smallest to biggest?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 6–10
Standards