PracticeQuestionsYears 1–7
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Fractions: parts, amounts and adding

Year 3 · Lower Key Stage 2 · 3F-1 to 3F-4 — Proper fractions; unit fractions of amounts; position; add with same denominator

Draft — awaiting teacher review

Builds on: Halves, quarters and thirds (Year 2)

I

Concept Anchor

The denominator is how many equal parts the whole is cut into. The numerator is how many parts we have. To find 15\tfrac{1}{5} of an amount, divide by 5.

2/5

Worked example

25+15\tfrac{2}{5} + \tfrac{1}{5}

  1. 1.Both are fifths.
  2. 2.2 fifths + 1 fifth = 3 fifths.
  3. 3.35\tfrac{3}{5}. The denominator stays 5.
II

Guided Check

What is 14\tfrac{1}{4} of 20?

    III

    Independent Diagnostic Practice

    Q1Year 33F-2 — Unit fraction of an amount·Fluency·●○○Draft — awaiting teacher review

    What is 15\tfrac{1}{5} of 30?

    Q2Year 33F-4 — Add fractions with the same denominator·Reasoning·●●○Draft — awaiting teacher review

    What is 27+37\tfrac{2}{7} + \tfrac{3}{7}?

    Q3Year 33F-3 — Compare unit fractions·Problem Solving·●●●Draft — awaiting teacher review

    Which is bigger: 13\tfrac{1}{3} or 15\tfrac{1}{5} of the same bar?