To change a decimal to a fraction: use the place value of the last digit
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1 Fractions, decimals and percentages This activity is about converting between fractions, decimals and percentages. Information sheet Converting between decimals and fractions To change a decimal to a fraction: use the place value of the last digit 5 For example 0.85 = = 17 5 hundredths On a calculator press: 85 a b c 100 = To change a fraction to a decimal: divide the top by the bottom For example 5 4 = 4 5 = 0.8 Converting between percentages and fractions or decimals To write a % as a fraction or decimal: divide by 100 For example 64% = = 0.64 or 64% = = 16 On a calculator press: 64 a b c 100 = To write a decimal or fraction as a %: multiply by 100 For example 0.1 = = 12.5% 2 5 = (i.e. 2 5 of 100%) = 40% or 5 2 = = 40% On a calculator press: 2 a b c = 40% Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 1 of 14
2 Try these 1 Write these decimals as fractions: 0.3 =. 0.5 =. 0.6 = = =. 0. = =. 0.1 =. 2 Write these fractions as decimals: 10 7 =. 1 5 =. 2 5 =. 4 3 = 8 7 =. 2 3 =. 9 =. 7 = 3 Write these percentages as decimals: 3% =. 30% =. % =. 80% =. 8% =. 12% =. 67% =. 17.5% =. Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 2 of 14
3 4 Write these percentages as fractions: % =. 75% =. 5% =. 30% =. 40% =. 15% =. 24% =. 35% =. 5 Write these decimals as percentages: 0. =. 0.5 =. 0.7 = = = =. 0.4 = =. 6 Write these fractions as percentages: 10 1 =. 5 1 = =. 4 3 =. 4 5 =. 17 =. 1 3 =. 2 3 =. Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 3 of 14
4 At the end of the activity Explain how to convert... a decimal to a fraction a fraction to a decimal a percentage to a fraction or decimal a fraction or decimal to a percentage. Give some examples of real contexts where... decimals are used fractions are used percentages are used. Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 4 of 14
5 Fractions, decimals and percentages Fractions to decimals to percentages Complete this table. Fraction Decimal Percentage Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 5 of 14 Nuffield Foundation 11 downloaded from
6 Fill the gaps in the table. Percentage Fraction Decimal 10% 40% % % 4 3 Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 6 of 14
7 Follow me fractions to percentages Set A 100% 2 1? % 5 1? % 3? 4 75% 10 1? 10% 4 1? % 10 3? 30% 5 2? 40% 10 7? 70% 5 4? 80% 5 3? 60% 10 9? 90% 1? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 7 of 14
8 Follow me fractions to percentages Set B 100% 2 1? % 5 1? % 3? 4 75% 10 1? 10% 4 1? % 10 3? 30% 5 2? 40% 10 7? 70% 5 4? 80% 5 3? 60% 10 9? 90% 11? 55% 3? 6% 3 1? % 14? 56% 5? % 19? 95% 37? 74% 3? % 2? 8% 7? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 8 of 14
9 35% 2? % 8 1? % 11? 22% 1? 5% 18? 72% 7? % 1? 4% 17? 34% 21? 42% 13? 52% 9? 45% 29? 58% 16? 64% 8? 32% 1? 2% 23? 92% 49? 98% 11? 44% 41? 82% 13? 65% 7? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 9 of 14
10 14% 22? 88% 31? 62% 17? 85% 4? 16% 23? 46% 21? 84% 39? 78% 3? 15% 13? 26% 6? 24% 43? 86% 19? 76% 3? 12% 9? 18% 9? 36% 27? 54% 17? 68% 1? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 10 of 14
11 Follow me percentages to fractions Set C 1 %? 2 1 %? %? %? 10 1 %? %? %? %? %? %? %? %? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 11 of 14
12 Follow me percentages to fractions Set D 1 %? 2 1 %? %? %? 10 1 %? %? %? %? %? %? %? %? 11 6%? 3 33%? %? 14 63%? %? 19 74%? 37 37%? %? 2 35%? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 12 of 14
13 7 67%? %? %? 11 5%? 1 72%? 18 87%? %? 1 34%? 17 42%? 21 52%? 13 45%? 9 58%? 29 64%? 16 32%? 8 2%? 1 92%? 23 98%? 49 44%? 11 82%? 41 65%? 13 14%? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 13 of 14
14 7 88%? 22 62%? 31 85%? 17 16%? 4 46%? 23 84%? 21 78%? 39 15%? 3 26%? 13 24%? 6 86%? 43 76%? 19 12%? 3 18%? 9 36%? 9 54%? 27 68%? %? Nuffield Free-Standing Mathematics Activity Fractions, decimals and percentages Student sheets Copiable page 14 of 14
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