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Published byMuriel James Modified over 7 years ago

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**Converting between Decimals, Fractions and Percentages**

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**Comparing Fractions with Percentages**

Percent simply means “out of 100” So 25% means 25 out of 100 or, 25 per 100 Or, written as a fraction: 25/100 This can be simplified to: 1/4

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**Converting Percentages to Fractions**

To convert from percentage to fraction, put the number over 100 then simplify. 30% 80%

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**Converting Percentages to Fractions**

To convert from percentage to fraction, put the number over 100 then simplify. 30% = 30/100 = 3/10 80% = 80/100 = 8/10 = 4/5

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**Convert these into fractions**

1% 75% 10% 5% 20% 45% 50% 28%

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**Converting Fractions to Percentages**

Divide 100 by the the bottom number and then multiply the result by the top number. =

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**Converting Fractions to Percentages**

Divide 100 by the the bottom number and then multiply the result by the top number. = 100 ÷ 5 = x 2 = 40 = 40%

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**Convert these into percentages**

1. 3. 4. 2. 5.

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**Converting Decimals to Percentages and vice versa**

Look at the decimal point. Move it along two places to the right and then you will have the percentage. 0.31 = 31% 4.25 = 425% When converting from a percentage to a decimal, simply move the decimal point back two places to the left. 26% = 0.26

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**Converting Fractions to Decimals**

Start with the same method used with percentages. = 100 ÷ 5 = 20 20 x 2 = 40% Now move the decimal point two places to the left 40 = 0.40 (or 0.4)

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**Activity In pairs, complete the Fractions to Decimals activity.**

On Moodle, this is the file ‘frac-to-dec.docx’

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