We are Learning to Find Equivalent Fractions Equivalent

We are Learning to…… Find Equivalent Fractions

Equivalent fractions

Equivalent fractions What does equivalent mean?

Equivalent fractions Look at this diagram: × 2 3 4 = × 2 6 8 12 = 16 × 2

Equivalent fractions Look at this diagram: × 3 2 3 = × 3 × 4 6 9 24 = 36 × 4

Equivalent fractions Look at this diagram: ÷ 3 ÷ 2 18 6 = = 30 10 ÷ 3 ÷ 2 3 5

Equivalent fractions

Cancelling fractions to their lowest terms A fraction is said to be expressed in its lowest terms if the numerator and the denominator have no common factors. Which of these fractions are expressed in their lowest terms? 14 16 7 8 20 27 3 13 15 21 5 7 14 35 2 5 32 15 Fractions which are not shown in their lowest terms can be simplified by cancelling.

Drag and drop equivalent fractions

Using equivalent fractions 3 5 Which is bigger or ? 8 12 Another way to compare two fractions is to convert them to equivalent fractions. First we need to find the lowest common multiple of 8 and 12. The lowest common multiple of 8 and 12 is 24. 3 5 Now, write and as equivalent fractions over 24. 8 12 × 3 3 8 9 = 24 × 3 × 2 and 5 10 = 12 24 × 2 so, 3 8 < 5 12

• To succeed at this lesson today you need to… • 1. Be able to create equivalent fractions • 2. Be able to cancel fractions to their lowest terms • 3. Use equivalent fractions to order fractions Impact 2 B Page 92 Ex 6 B & 6 C