AC9M6N05Year 6NumberPractised on site

AC9M6N05 — Year 6 Number

Official Curriculum Content Description:

solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

Worked Examples (1)

Example 1Multiplying & Dividing Fractions & Decimals

Calculate

\frac{2}{3} - \frac{3}{5}

using equivalent fractions. Give your answer in simplest form.

Common mistake: Adding or subtracting the denominators directly.

Correct Answer:

\frac{1}{15}

Worked Solution:

1. Find the lowest common denominator of

3

and

5

\text{LCD} = 15

. 2. Convert each fraction to equivalent fractions with denominator

15

\frac{2}{3} = \frac{10}{15}, \quad \frac{3}{5} = \frac{9}{15}

3. Subtract the numerators:

10 - 9 = 1

, giving

\frac{1}{15}

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