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Number · Fractions & decimals

Chapter 1 · 3

The idea

Converting fractions, decimals and percentages

One amount can be written as a fraction, a decimal or a percentage. Why per cent means "out of 100", how to move between the three forms in every direction, how to put a mixed list in order, and how to write one quantity as a fraction or a percentage of another, including answers bigger than 100%.

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Number · Fractions & decimals

Converting fractions, decimals and percentages

One amount can be written as a fraction, a decimal or a percentage. Why per cent means "out of 100", how to move between the three forms in every direction, how to put a mixed list in order, and how to write one quantity as a fraction or a percentage of another, including answers bigger than 100%.

Why it works

One score, four ways of writing it

Four netball players practise shooting. Each takes a different number of shots and reports the result a different way. Amir scores 1818 out of 2525. Bea scores 70%70\%. Cal's success rate is 0.740.74. Dina scores 34\tfrac34 of her shots. Who is the best shooter?

The four numbers cannot be compared yet: they are written four ways. The key fact is that per cent means per hundred, so 70%70\% is 7070 out of every 100100. Cut each of Amir's 2525 squares into 44, and his score becomes a number out of 100100.

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The rest of the explanation, plus 5 worked examples you step through move by move.

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