 # Converting between Decimals, Fractions and Percentages

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Converting between Decimals, Fractions and Percentages

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

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

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

Convert these into fractions
1% 75% 10% 5% 20% 45% 50% 28%

Converting Fractions to Percentages
Divide 100 by the the bottom number and then multiply the result by the top number. =

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%

Convert these into percentages
1. 3. 4. 2. 5.

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

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)

Activity In pairs, complete the Fractions to Decimals activity.
On Moodle, this is the file ‘frac-to-dec.docx’