PracticeQuestionsYears 1–7
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Mixed numbers on the line; adding and subtracting fractions

Year 4 · Lower Key Stage 2 · 4F-1, 4F-3 — Mixed numbers on the number line; add and subtract fractions with the same denominator

Draft — awaiting teacher review

Builds on: Mixed numbers and improper fractions (Year 4), Fractions: parts, amounts and adding (Year 3)

I

Concept Anchor

The denominator names the size of the parts. If the parts are the same size, just add or take away the numerators. Five fifths make one whole.

1 2/5

Worked example

35+45\tfrac{3}{5} + \tfrac{4}{5}

  1. 1.Both are fifths.
  2. 2.3 fifths + 4 fifths = 7 fifths.
  3. 3.75\tfrac{7}{5}.
  4. 4.5 fifths make 1 whole, so this is also 1251\tfrac{2}{5}.
II

Guided Check

What is 58−28\tfrac{5}{8} - \tfrac{2}{8}?

    III

    Independent Diagnostic Practice

    Q1Year 44F-3 — Add fractions with the same denominator·Fluency·●○○Draft — awaiting teacher review

    What is 35+45\tfrac{3}{5} + \tfrac{4}{5}?

    Q2Year 44F-1 — Mixed numbers on the number line·Reasoning·●●○Draft — awaiting teacher review

    Which number is between 2 and 3 on a number line?

    Q3Year 44F-3 — Subtract from a mixed number·Problem Solving·●●●Draft — awaiting teacher review

    A jug holds 2342\tfrac{3}{4} litres of juice. Sam pours out 14\tfrac{1}{4} of a litre. How many litres are left?