Fractions of amounts and equivalent fractions

Year 5 · Upper Key Stage 2 · 5F-1, 5F-2 — Non-unit fractions of quantities; equivalent fractions have the same value

Draft — awaiting teacher review

Builds on: Mixed numbers on the line; adding and subtracting fractions (Year 4), Fractions: parts, amounts and adding (Year 3)

Concept Anchor

To find a non-unit fraction of an amount, divide by the denominator, then multiply by the numerator. Equivalent fractions have the same value: multiply or divide the numerator and denominator by the same number.

Worked example

$\tfrac{3}{4}$ of 20

1. $\tfrac{1}{4}$ of 20 is 20 ÷ 4 = 5.
2. $\tfrac{3}{4}$ is 3 of those parts.
3.3 × 5 = 15.

Guided Check

Fill the gap: $\tfrac{1}{2} = \tfrac{?}{10}$

III

Independent Diagnostic Practice

Q1Year 55F-1 — Non-unit fraction of an amount·Fluency·●○○Draft — awaiting teacher review

What is $\tfrac{3}{4}$ of 20?

Q2Year 55F-2 — Equivalent fractions·Reasoning·●●○Draft — awaiting teacher review

Which fraction is equivalent to $\tfrac{2}{3}$ ?

Q3Year 55F-1 — Fraction of a quantity in context·Problem Solving·●●●Draft — awaiting teacher review

A class has 30 pupils. $\tfrac{2}{5}$ of them walk to school. How many pupils walk?