Fractions Percentages 01 December 2020 1212020 1 Contents

Fractions & Percentages 01 December 2020 12/1/2020 1

Contents l Fractions – the Language of l Equivalent Fractions and Cancelling Fractions l Top Heavy Fractions and Mixed Numbers l Ordering Fractions l Finding a Fraction 12/1/2020 2

What are Fractions ? l Parts of a whole l Eg. Numerator Denominator Unit Fractions 12/1/2020 3

Fractions l What do they mean … We have 1 of those parts The whole is split into 2 parts We have 3 of those parts The whole is split into 4 parts 12/1/2020 4

Equivalent Fractions 12 12/1/2020 x 2 x 4 5

Equivalent Fractions x 4 x 3 20 x 4 x 3 36 6

Cancelling Fractions l l l Reducing fractions to their simplest form Equivalent fractions using the smallest numbers Reduce to simplest form 5 Find HCF of 5 and 10 So divide both numerator & denominator by 5 ÷ 5 12/1/2020 ÷ 5 7

Cancelling Fractions l Cancel HCF = 3 l So, l 12/1/2020 HCF = 4 ÷ 3 ÷ 4

Top Heavy Fractions & Mixed Numbers l Convert l 12 12/1/2020 + into a mixed number 1 + ÷ 5 = 2 with = left over 9

Top Heavy Fractions & Mixed Numbers l Convert l 26 ÷ 3 = 8, with l Convert l How 12/1/2020 into a mixed number left over, so into a top heavy fraction many fifths 10

Top Heavy Fractions & Mixed Numbers l Convert l So into a top heavy fraction = = l Try l 12/1/2020 = = 11

Ordering Fractions Easy !! l But what about …. . l Convert to equivalent fractions with same denominator first 40 l Find LCM of 5, 8 and 20 (denominators) 12/1/2020 12

Ordering Fractions l Now l So, 12/1/2020 put them in order … then answer the question 13

Finding a Fraction l What is l What about l To find l How 12/1/2020 of £ 50 ? of £ 100 ? ÷ 5 ÷ 25 would we find yes, ÷ 157 14

Finding a Fraction l What l Find about of £ 125 ? first – l Then, x by 2 l So, of £ 125 is £ 50 12/1/2020 25 x 2 50 15

Contents - Percentages l What are Percentages ? l Converting between Fractions and Percentages l Finding a Percentage 12/1/2020 16

What are Percentages ? l They are just like fractions l The whole is always split into 100 parts l So 35% means 35 out of the 100 parts 12/1/2020 17

Converting between F, D & P l Converting a percentage to a fraction l 40% means 40 out of every 100 l Don’t forget to cancel down, if possible

Converting between F, D & P l Converting a fraction to a percentage l You need to find the equivalent fraction which has 100 as the denominator x 20 l 60 ___ l x 20 100 So 60%

Without a Finding a Percentage - Calculator l Remember, l To find 10% = we by 10

Without a Finding a Percentage - Calculator l Use this info to find any percentage l i. e. Find 30% of £ 240 l 10% = £ 24 l So, 30% = 3 x £ 24 = £ 72 l 30% = £ 72. 00

Without a Finding a Percentage - Calculator l 45% of 120 children at theatre were boys, how many were boys ? l 10% = 12 so 5% = 6 (half of 10%) l So, 40% = 4 x 12 = 48 l and 5% = 6 l 45% = 48 + 6 = 54 boys