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**Multiplying with Fractions**

Mathematics Multiplying with Fractions

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**Lesson Objectives The aim of this powerpoint is to help you…**

to multiply fractions by whole numbers to multiply fractions by fractions

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**Multiplying Fractions**

FIRSTLY convert any mixed numbers into improper fractions or write whole numbers over 1, then… Multiply the top numbers together Multiply the bottom numbers together Cancel down (if possible) and/or convert your improper fraction back into a mixed number

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**5 1 Example 1 3 10 If you need to simplify your answer… 15 3 1 10 2 2**

What are 5 lots of 3/10? 3 10 If you need to simplify your answer… 5 3 1 10 5×3 15 1×10 10 5 × = × = = ÷5 1

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**Example 2 What is the product of 3/5 and 2/9? 3 2 5 9**

3 2 5 9 If you need to simplify your answer… 6 2 45 15 3×2 6 5×9 45 × = = ÷3

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**Of… The word ‘of’ in mathematics implies ‘multiply’**

Therefore 3/5 of 2/9 means 3/5 × 2/9 (we did this in example 2) We can represent this pictorially… Draw a rectangle. Split it into 9 columns and shade 2 of them in yellow (this is the 2/9) Split it into 5 rows and shade 3 of them in blue (this is the 3/5) The overlapping ‘green’ section is 3/5 of 2/9 = 6/45 or 2/15

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**Example 2 (pictorially)**

9 3 5 3× 5× of = = =

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Quick Practice A D 7 4 B E 8 3 C F 2 15 Work out your answers before clicking on to the next slide. × × × × × ×

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Answers D × = E × = F × = A × = B × = C × = 6 35 or 3 32 or 2 5 or or

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What next? Print out the notes called Frac5. Read them and make sure you answer any questions Work through all of the MyMaths lesson called Multiplying Fractions found at: If you need more practice, try the worksheet called MFrac-S0.xlsx. Now move on to the Frac-6 powerpoint

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