working out percentages using equivalent fractions
TRANSCRIPT
![Page 1: Working Out Percentages Using Equivalent Fractions](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/1.jpg)
How to Work Out the Percentage of an Amount Using Equivalent
Fractionse.g. 25% of 84
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![Page 2: Working Out Percentages Using Equivalent Fractions](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/2.jpg)
A percentage (%) means: a part out of every 100.
![Page 3: Working Out Percentages Using Equivalent Fractions](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/3.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/4.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/5.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/6.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/7.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/8.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/9.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/10.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/11.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/12.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/13.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/14.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/15.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/16.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/17.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/18.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/19.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/20.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/21.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/22.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/23.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/24.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/25.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/26.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/27.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/28.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/29.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/30.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/31.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/32.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/33.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/34.jpg)
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](https://reader033.vdocuments.mx/reader033/viewer/2022052906/55895ca5d8b42a643f8b45d5/html5/thumbnails/35.jpg)
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.
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That’s it for now......
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mastering multiplication tableson amazon.com