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This is a supporting activity to reinforce learning.
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Conversion of percentages to fractions and
Conversion of percentages to decimal numbers.
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>>> Table of Common Fractions and Their Percentage Equivalents
>>> Table of Common Fractions and Their Decimal Equivalents or Approximations
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Method
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- To convert a percentage into a fraction, express the percentage as a
fraction over 100, and then simplify to lowest terms, if possible (...see examples below).
- To convert from a percentage to a decimal, just divide the percentage by 100.
- Stated in an alternative but identical way, shift the decimal point two places to the left (remember that a number like 51 can be thought of as 51.0).
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45% = 45 ÷ 100 = 9/20 |
7% = 7 ÷ 100 |
23% = 23 ÷ 100
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45% = 0.45
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7% = 0.07
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23% = 0.23
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Method
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Finding percentages
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- Convert the percentage into a fraction
- Multiply the amount by the fraction
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Examples
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= 0.1 × 50 = 5 |
| 10% of 50 = 10/100 × 50 |
= 1/10 × 50 = 5
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| = 0.48 × 200 = 96 |
| 48% of 200 = 48/100 × 200 |
= 12/25 × 200 = 96
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| = 0.34 × 120 = 40.8 |
| 34% of 120 = 34/100 × 120 |
= 17/50 × 120 = 40.8
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Quiz / Exercises
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Find percentages
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- 7% of 45
- 20% of 150
- 23% of 345
- 34% of 230
- 35% of 45
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- 15% of 600
- 45% of 34.54
- 57% of 6789
- 37% of 3434
- 23% of 432
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- Please type your answers into the corresponding spaces below.
- Please answer to one decimal place.
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