Multiplying fractions by whole numbers

Year 6 · Upper Key Stage 2 · Y5 statutory, revisited in Year 6 — Multiply proper fractions by whole numbers

Draft — awaiting teacher review

Builds on: Mixed numbers and improper fractions (Year 4)

Concept Anchor

To multiply a fraction by a whole number, multiply the numerator by the whole number. The denominator stays the same because the size of each part does not change.

Worked example

$\tfrac{2}{5} \times 3$

1.Read it as three lots of two-fifths.
2.Multiply the numerator: $2 \times 3 = 6$ .
3.Keep the denominator: $\tfrac{6}{5}$ .
4.Convert to a mixed number: $\tfrac{6}{5} = 1\tfrac{1}{5}$ .

Guided Check

Calculate $\tfrac{3}{4} \times 6$ . Give your answer as a mixed number in its simplest form.

III

Independent Diagnostic Practice

Q1Year 6Y5 statutory, revisited in Year 6 — Multiply proper fractions by whole numbers·Fluency·●○○Draft — awaiting teacher review

Calculate $\tfrac{2}{7} \times 3$ .

Q2Year 6Y5 statutory, revisited in Year 6 — Multiply proper fractions by whole numbers·Reasoning·●●○Draft — awaiting teacher review

Four lots of $\tfrac{5}{6}$ give $\tfrac{20}{6}$ . Which mixed number is the same value in simplest form?

Q3Year 66F4 — Add and subtract fractions with different denominators·Fluency·●●○Draft — awaiting teacher review

Calculate $\tfrac{1}{3} + \tfrac{1}{4}$ .

Q4Year 6Y5 statutory, revisited in Year 6 — Multiply proper fractions by whole numbers·Problem Solving·●●●Draft — awaiting teacher review

A jug holds $\tfrac{3}{4}$ litre. Sam fills 7 jugs. How many litres is that?