Fractions decimals percentages - Nuffield Foundation

1 Fractions , decimals and percentages Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 1 of 14 Nuffield Foundation 2012 downloaded from 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 For example = 10085 = 2017 On a calculator press: 85 cba 100 = To change a fraction to a decimal: divide the top by the bottom For example 54 = 4 5 = Converting between percentages and Fractions or decimals To write a % as a fraction or decimal: divide by 100 For example 64% = 64 100 = or 64% = 10064 = 2516 On a calculator press: 64 cba 100 = To write a decimal or fraction as a %.

2 Multiply by 100 For example = 100 = 52 = 52 100 ( 52 of 100%) = 40% or 52 = 2 5 100 = 40% On a calculator press: 2 cba 5 100 = 40% 5 5 hundredths Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 2 of 14 Nuffield Foundation 2012 downloaded from Try these 1 Write these decimals as Fractions : = .. = .. = .. = .. = .. = .. = .. = .. 2 Write these Fractions as decimals : 107 = .. 51 = .. 52 = .. 43 = .. 87 = .. 32 = .. 209 =.. 257 = .. 3 Write these percentages as decimals : 3% = .. 30% =.

3 25% = .. 80% = .. 8% = .. 12% = .. 67% = .. = .. Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 3 of 14 Nuffield Foundation 2012 downloaded from 4 Write these percentages as Fractions : 20% = .. 75% = .. 5% = .. 30% = .. 40% = .. 15% = .. 24% = .. 35% = .. 5 Write these decimals as percentages : = .. = .. = .. = .. = .. = .. = .. = .. 6 Write these Fractions as percentages : 101 = .. 51 = .. 109 = .. 43 = .. 54 = .. 2017 = .. 31 = .. 32 = .. Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 4 of 14 Nuffield Foundation 2012 downloaded from At the end of the activity Explain how to convert.

4 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. Fractions , decimals and percentages Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 5 of 14 Nuffield Foundation 2011 downloaded from Fractions to decimals to percentages Complete this table. Fraction Decimal Percentage 101 51 103 52 21 53 107 54 109 41 43 Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 6 of 14 Nuffield Foundation 2012 downloaded from Fill the gaps in the table.

5 Percentage Fraction Decimal 10% 103 40% 53 70% 109 25% 43 Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 7 of 14 Nuffield Foundation 2012 downloaded from Follow me Fractions to percentages Set A I am 100% Who is 21? I am 50% Who is 51? I am 20% Who is 43? I am 75% Who is 101? I am 10% Who is 41 ? I am 25% Who is 103? I am 30% Who is 52? I am 40% Who is 107? I am 70% Who is 54? I am 80% Who is 53? I am 60% Who is 109? I am 90% Who is 1? Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 8 of 14 Nuffield Foundation 2012 downloaded from Follow me Fractions to percentages Set B I am 100% Who is 21?

6 I am 50% Who is 51? I am 20% Who is 43? I am 75% Who is 101? I am 10% Who is 41 ? I am 25% Who is 103? I am 30% Who is 52? I am 40% Who is 107? I am 70% Who is 54? I am 80% Who is 53? I am 60% Who is 109? I am 90% Who is 2011? I am 55% Who is 503? I am 6% Who is 31 ? I am 3331% Who is 2514? I am 56% Who is 85? I am 6221% Who is 2019? I am 95% Who is 5037? I am 74% Who is 83? I am 3721% Who is 252? I am 8% Who is 207? Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 9 of 14 Nuffield Foundation 2012 downloaded from I am 35% Who is 32?

7 I am 6632% Who is 81? I am 1221% Who is 5011? I am 22% Who is 201? I am 5% Who is 2518 ? I am 72% Who is 87? I am 8721% Who is 251? I am 4% Who is 5017? I am 34% Who is 5021? I am 42% Who is 2513? I am 52% Who is 209? I am 45% Who is 5029? I am 58% Who is 2516? I am 64% Who is 258 ? I am 32% Who is 501? I am 2% Who is 2523? I am 92% Who is 5049? I am 98% Who is 2511? I am 44% Who is 5041? I am 82% Who is 2013? I am 65% Who is 507? Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 10 of 14 Nuffield Foundation 2012 downloaded from I am 14% Who is 2522?

8 I am 88% Who is 5031? I am 62% Who is 2017? I am 85% Who is 254? I am 16% Who is 5023 ? I am 46% Who is 2521? I am 84% Who is 5039? I am 78% Who is 203? I am 15% Who is 5013? I am 26% Who is 256? I am 24% Who is 5043? I am 86% Who is 2519? I am 76% Who is 253? I am 12% Who is 509 ? I am 18% Who is 259? I am 36% Who is 5027? I am 54% Who is 2517? I am 68% Who is 1? Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 11 of 14 Nuffield Foundation 2012 downloaded from Follow me percentages to Fractions Set C I am 1 Who is 50%?

9 I am 21 Who is 20%? I am 51 Who is 75%? I am 43 Who is 10%? I am 101 Who is 25% ? I am 41 Who is 30%? I am 103 Who is 40%? I am 52 Who is 70%? I am 107 Who is 80%? I am 54 Who is 60%? I am 53 Who is 90%? I am 109 Who is 100%? Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 12 of 14 Nuffield Foundation 2012 downloaded from Follow me percentages to Fractions Set D I am 1 Who is 50%? I am 21 Who is 20%? I am 51 Who is 75%? I am 43 Who is 10%? I am 101 Who is 25%? I am 41 Who is 30%? I am 103 Who is 40%?

10 I am 52 Who is 70%? I am 107 Who is 80%? I am 54 Who is 60%? I am 53 Who is 90%? I am 109 Who is 55%? I am 2011 Who is 6%? I am 503 Who is 33%? I am 10033 Who is 56%? I am 2514 Who is 63%? I am 10063 Who is 95%? I am 2019 Who is 74%? I am 5037 Who is 37%? I am 10037 Who is 8%? I am 252 Who is 35%? Nuffield Free-Standing Mathematics Activity Fractions , decimals and percentages Student sheets Copiable page 13 of 14 Nuffield Foundation 2012 downloaded from I am 207 Who is 67%? I am 10067 Who is 13%? I am 10013 Who is 22%? I am 5011 Who is 5%? I am 201 Who is 72%? I am 2518 Who is 87%?