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How to Work Out the Percentage of an Amount Using Equivalent Fractions e.g. 25% of 84 For more maths help & free games related to this, visit: www.makemymathsbetter.com

Working Out Percentages Using Equivalent Fractions

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Page 1: Working Out Percentages Using Equivalent Fractions

How to Work Out the Percentage of an Amount Using Equivalent

Fractionse.g. 25% of 84

For more maths help & free games related to this, visit:

www.makemymathsbetter.com

Page 2: Working Out Percentages Using Equivalent Fractions

A percentage (%) means: a part out of every 100.

Page 3: Working Out Percentages Using Equivalent Fractions

A percentage (%) means: a part out of every 100.

So, 1% means: 1 part out of every 100. It is equivalent (the same as) 1/100 and can be shown

in a diagram as:

Page 4: Working Out Percentages Using Equivalent Fractions

To find 1% of a number, you can think of it as finding 1/100 of the number.To find 1/100 of a number, you divide by 100 (the value of the denominator: the number on the bottom of the fraction)

For example:

1% of 300 = 300 ÷ 100 = 3

Page 5: Working Out Percentages Using Equivalent Fractions

To find 1% of a number, you can think of it as finding 1/100 of the number.To find 1/100 of a number, you divide by 100 (the value of the denominator: the number on the bottom of the fraction)

For example:

1% of 300 = 300 ÷ 100 = 3

1% of 900 = 900 ÷ 100 = 9

Page 6: Working Out Percentages Using Equivalent Fractions

To find 1% of a number, you can think of it as finding 1/100 of the number.To find 1/100 of a number, you divide by 100 (the value of the denominator: the number on the bottom of the fraction)

For example:

1% of 300 = 300 ÷ 100 = 3

1% of 470 = 470 ÷ 100 = 4.70

1% of 900 = 900 ÷ 100 = 9

Page 7: Working Out Percentages Using Equivalent Fractions

To find 1% of a number, you can think of it as finding 1/100 of the number.To find 1/100 of a number, you divide by 100 (the value of the denominator: the number on the bottom of the fraction)

For example:

1% of 300 = 300 ÷ 100 = 3

1% of 675 = 675 ÷ 100 = 6.75

1% of 470 = 470 ÷ 100 = 4.70

1% of 900 = 900 ÷ 100 = 9

Page 8: Working Out Percentages Using Equivalent Fractions

10% means: 10 parts out of every 100. It is equivalent (the same as) 10/100 or 1/10 and

can be shown in a diagram as:

Page 9: Working Out Percentages Using Equivalent Fractions

To find 10% of a number, you can think of it as finding 1/10 of the number.To find 1/10 of a number, you divide by 10 (the value of the denominator: the number on the bottom of the fraction)

For example:

10% of 370 = 370 ÷ 10 = 37

Page 10: Working Out Percentages Using Equivalent Fractions

To find 10% of a number, you can think of it as finding 1/10 of the number.To find 1/10 of a number, you divide by 10 (the value of the denominator: the number on the bottom of the fraction)

For example:

10% of 370 = 370 ÷ 10 = 37

10% of 9540 = 9540 ÷ 10 = 954

Page 11: Working Out Percentages Using Equivalent Fractions

To find 10% of a number, you can think of it as finding 1/10 of the number.To find 1/10 of a number, you divide by 10 (the value of the denominator: the number on the bottom of the fraction)

For example:

10% of 370 = 370 ÷ 10 = 37

10% of 67 = 67 ÷ 10 = 6.7

10% of 9540 = 9540 ÷ 10 = 954

Page 12: Working Out Percentages Using Equivalent Fractions

To find 10% of a number, you can think of it as finding 1/10 of the number.To find 1/10 of a number, you divide by 10 (the value of the denominator: the number on the bottom of the fraction)

For example:

10% of 370 = 370 ÷ 10 = 37

10% of 874 = 874 ÷ 10 = 87.4

10% of 67 = 67 ÷ 10 = 6.7

10% of 9540 = 9540 ÷ 10 = 954

Page 13: Working Out Percentages Using Equivalent Fractions

25% means: 25 parts out of every 100. It is equivalent (the same as) 25/100 or 1/4 and

can be shown in a diagram as:

Page 14: Working Out Percentages Using Equivalent Fractions

To find 25% of a number, you can think of it as finding 1/4 of the number.To find 1/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction)

For example:

25% of 36 = 36 ÷ 4 = 9

Page 15: Working Out Percentages Using Equivalent Fractions

To find 25% of a number, you can think of it as finding 1/4 of the number.To find 1/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction)

For example:

25% of 36 = 36 ÷ 4 = 9

25% of 320 = 320 ÷ 4 = 80

Page 16: Working Out Percentages Using Equivalent Fractions

To find 25% of a number, you can think of it as finding 1/4 of the number.To find 1/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction)

For example:

25% of 36 = 36 ÷ 4 = 9

25% of 68 = 68 ÷ 4 = 17

25% of 320 = 320 ÷ 4 = 80

Page 17: Working Out Percentages Using Equivalent Fractions

To find 25% of a number, you can think of it as finding 1/4 of the number.To find 1/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction)

For example:

25% of 36 = 36 ÷ 4 = 9

25% of 44 = 44 ÷ 4 = 11

25% of 68 = 68 ÷ 4 = 17

25% of 320 = 320 ÷ 4 = 80

Page 18: Working Out Percentages Using Equivalent Fractions

50% means: 50 parts out of every 100. It is equivalent (the same as) 50/100 or 1/2 and

can be shown in a diagram as:

Page 19: Working Out Percentages Using Equivalent Fractions

To find 50% of a number, you can think of it as finding 1/2 of the number.To find 1/2 of a number, you divide by 2 (the value of the denominator: the number on the bottom of the fraction)

For example:

50% of 16 = 16 ÷ 2 = 8

Page 20: Working Out Percentages Using Equivalent Fractions

To find 50% of a number, you can think of it as finding 1/2 of the number.To find 1/2 of a number, you divide by 2 (the value of the denominator: the number on the bottom of the fraction)

For example:

50% of 16 = 16 ÷ 2 = 8

50% of 320 = 320 ÷ 2 = 160

Page 21: Working Out Percentages Using Equivalent Fractions

To find 50% of a number, you can think of it as finding 1/2 of the number.To find 1/2 of a number, you divide by 2 (the value of the denominator: the number on the bottom of the fraction)

For example:

50% of 16 = 16 ÷ 2 = 8

50% of 48 = 48 ÷ 2 = 24

50% of 320 = 320 ÷ 2 = 160

Page 22: Working Out Percentages Using Equivalent Fractions

To find 50% of a number, you can think of it as finding 1/2 of the number.To find 1/2 of a number, you divide by 2 (the value of the denominator: the number on the bottom of the fraction)

For example:

50% of 16 = 16 ÷ 2 = 8

50% of 11 = 11 ÷ 2 = 5.5

50% of 48 = 48 ÷ 2 = 24

50% of 320 = 320 ÷ 2 = 160

Page 23: Working Out Percentages Using Equivalent Fractions

75% means: 75 parts out of every 100. It is equivalent (the same as) 75/100 or 3/4 and

can be shown in a diagram as:

Page 24: Working Out Percentages Using Equivalent Fractions

To find 75% of a number, you can think of it as finding 3/4 of the number.To find 3/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction) and multiply by 3 (the value of the numerator: the number on the top of the fraction)

For example:

75% of 16 = (16 ÷ 4) x 3 = 12

Page 25: Working Out Percentages Using Equivalent Fractions

To find 75% of a number, you can think of it as finding 3/4 of the number.To find 3/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction) and multiply by 3 (the value of the numerator: the number on the top of the fraction)

For example:

75% of 16 = (16 ÷ 4) x 3 = 12

75% of 32 = (32 ÷ 4) x 3 = 24

Page 26: Working Out Percentages Using Equivalent Fractions

To find 75% of a number, you can think of it as finding 3/4 of the number.To find 3/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction) and multiply by 3 (the value of the numerator: the number on the top of the fraction)

For example:

75% of 16 = (16 ÷ 4) x 3 = 12

75% of 48 = (48 ÷ 4) x 3 = 36

75% of 32 = (32 ÷ 4) x 3 = 24

Page 27: Working Out Percentages Using Equivalent Fractions

To find 75% of a number, you can think of it as finding 3/4 of the number.To find 3/4 of a number, you divide by 4 (the value of the denominator: the number on the bottom of the fraction) and multiply by 3 (the value of the numerator: the number on the top of the fraction)

For example:

75% of 16 = (16 ÷ 4) x 3 = 12

75% of 44 = (44 ÷ 4) x 3 = 33

75% of 48 = (48 ÷ 4) x 3 = 36

75% of 32 = (32 ÷ 4) x 3 = 24

Page 28: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To work out other percentages, you can build them up from the percentages that you know.

Page 29: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To work out other percentages, you can build them up from the percentages that you know.

For example, to find out 20% of 40:20% = 10% x 2

10% of 40 = 4 20% of 40 = 4 x 2 = 8

Page 30: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To work out other percentages, you can build them up from the percentages that you know.

For example, to find out 20% of 40:20% = 10% x 2

10% of 40 = 4 20% of 40 = 4 x 2 = 8

To find out 40% of 50:40% = 10% x 4

10% of 50 = 5 40% of 50 = 5 x 4 = 20

Page 31: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To work out other percentages, you can build them up from the percentages that you know.

For example, to find out 20% of 40:20% = 10% x 2

10% of 40 = 4 20% of 40 = 4 x 2 = 8

To find out 40% of 50:40% = 10% x 4

10% of 50 = 5 40% of 50 = 5 x 4 = 20

To find out 60% of 90:60% = 10% x 6

10% of 90 = 9 60% of 90 = 9 x 6 = 54

Page 32: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To find out 35% of 60:35% = 10% + 25%

10% of 60 = 6 25% of 60 = 15 35% = 6 + 15 = 21

Page 33: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To find out 35% of 60:35% = 10% + 25%

10% of 60 = 6 25% of 60 = 15 35% = 6 + 15 = 21

To find out 65% of 80:65% = 75% - 10%

75% of 80 = 60 10% of 80 = 8 65% = 60 – 8

= 52

Page 34: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To find out 35% of 60:35% = 10% + 25%

10% of 60 = 6 25% of 60 = 15 35% = 6 + 15 = 21

To find out 65% of 80:65% = 75% - 10%

75% of 80 = 60 10% of 80 = 8 65% = 60 – 8

= 52

To find out 12% of 90:12% = 10% + (1% x 2)

10% of 90 = 9 2% of 90 = 0.9 x 2 = 1.8 12% = 9 + 1.8

= 10.8

Page 35: Working Out Percentages Using Equivalent Fractions

Remember:1% = 1/10010% = 1/1025% = ¼50% = ½75% = 3/4

To find out 35% of 60:35% = 10% + 25%

10% of 60 = 6 25% of 60 = 15 35% = 6 + 15 = 21

To find out 65% of 80:65% = 75% - 10%

75% of 80 = 60 10% of 80 = 8 65% = 60 – 8

= 52

To find out 12% of 90:12% = 10% + (1% x 2)

10% of 90 = 9 2% of 90 = 0.9 x 2 = 1.8 12% = 9 + 1.8

= 10.8It’s just a question of building

up the right combination.