Starter  What is: B) C)

Starter: Using a common denominator 1) Write any mixed numbers as improper fractions = 7 4 2) Find the lowest common multiple of 4, 9 and 12. The multiples of 12 are:12,24, is the lowest common denominator. What is+ 1 9 ?

3) Write each fraction over the lowest common denominator. 7 4 = 36 ×9×9 ×9× = 36 ×4×4 ×4× = 36 ×3×3 ×3×3 15 4) Add the fractions together = = = = What is+ 1 9 ? Using a common denominator

Fraction Quantities Objective: How to work with Fractions

Class question Please write in your books an example of a fraction or percentage you have seen in the real world??? Discounts in stores ½ off or 50% off VAT??Taxes? Interest Rates?? Money?

Finding a fraction of an amount We can see this in a diagram: 2 3 of £18 = £18 ÷ 3 × 2= £ of £18? What is

Let’s look at this in a diagram again: 7 10 of £20 = £20 ÷ 10 × 7= £ of £20? What is Finding a fraction of an amount

What is of 9 kg? 4 7 To find of an amount we can multiply by 4 and divide by We could also divide by 7 and then multiply by 4. 4 × 9 kg =36 kg 36 kg ÷ 7 = = 36 7 kg Finding a fraction of an amount

5 6 of £24= 1 6 × 5 = £24 ÷ 6 × 5 = £4 × 5 = £ of £24? What is Finding a fraction of an amount

When we work out a fraction of an amount we multiply by the numerator and divide by the denominator For example, 2 3 of 18 litres = 18 litres ÷ 3 × 2 = 6 litres × 2 = 12 litres Finding a fraction of an amount

Examples Find: a) 2 of £ 28 b)3 of 45 sweets c) 1 2 of 15 m A) First, Find 1 of £28: 28 divide by 7 = 4, So, 2 of £ 28 = 2x4=£ Or 2x28 Divide by 7 = £ 8 B) First, Find 1 of 45 sweets: 45 divide by 5 = 9 5 So, 3 of 45 sweets = 3x9 = 27 sweets So, 3 of 45 sweets = 3x9 = 27 sweets 5Or 3x45 Divide by 5= 27 sweets

Exercises 2B page 20  Questions 1-2