Fractions decimals percentages - Nuffield Foundation
[Pages:14]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 =
85 100
=
17 20
? 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
4 5
= 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% = 64 100 = 0.64
or
64% =
64 100
=
16 25
On a calculator press: 64 a b c 100 =
To write a decimal or fraction as a %: multiply by 100 For example 0.125 = 0.125 100 = 12.5%
2 5
=
2 5
100
(i.e.
2 5
of 100%) = 40%
or
2 5
= 2 5 100 = 40%
On a calculator press: 2 a b c 5 100 = 40%
Nuffield Free-Standing Mathematics Activity `Fractions, decimals and percentages' Student sheets ? Nuffield Foundation 2012 downloaded from
Copiable page 1 of 14
Try these
1 Write these decimals as fractions:
0.3 = .............
0.5 = ............. 0.6 = ............. 0.02 = .............
0.05 = .............
0.25 = ............. 0.36 = ............. 0.125 = .............
2 Write these fractions as decimals:
7 10
= ...................
1 5
=
...................
2 5
= ...................
3 4
= .....................
7 8
= ...................
2 3
=
...................
9 20
=...................
7 25
=
.....................
3 Write these percentages as decimals:
3% = .............
30% = .............
25% = .............
80% = .............
8% = .............
12% = .............
67% = .............
17.5% = .............
Nuffield Free-Standing Mathematics Activity `Fractions, decimals and percentages' Student sheets ? Nuffield Foundation 2012 downloaded from
Copiable page 2 of 14
4 Write these percentages as fractions:
20% = .............
75% = .............
5% = .............
30% = .............
40% = .............
15% = .............
24% = .............
35% = .............
5 Write these decimals as percentages:
0.25 = .............
0.5 = .............
0.7 = .............
0.07 = .............
0.45 = .............
0.09 = .............
0.4 = .............
0.375 = .............
6 Write these fractions as percentages:
1 10
= .............
1 5
=
.............
9 10
=
.............
3 4
= .............
4 5
= .............
17 20
= .............
1 3
=
.............
2 3
= .............
Nuffield Free-Standing Mathematics Activity `Fractions, decimals and percentages' Student sheets ? Nuffield Foundation 2012 downloaded from
Copiable page 3 of 14
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 ? Nuffield Foundation 2012 downloaded from
Copiable page 4 of 14
Fractions, decimals and percentages Fractions to decimals to percentages
Complete this table.
Fraction
1 10 1 5 3 10 2 5 1 2 3 5 7 10 4 5 9 10 1 4 3 4
Decimal
Percentage
Nuffield Free-Standing Mathematics Activity `Fractions, decimals and percentages' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 5 of 14
Fill the gaps in the table.
Percentage 10%
Fraction
3 10 40%
3 5 70%
9 10 25% 3 4
Decimal 0.2 0.5 0.8
Nuffield Free-Standing Mathematics Activity `Fractions, decimals and percentages' Student sheets ? Nuffield Foundation 2012 downloaded from
Copiable page 6 of 14
Follow me ? fractions to percentages
Set A
I am 100%
Who is
1 2
?
I am Who is
75%
1 10
?
I am Who is
30%
2 5
?
I am Who is
80%
3 5
?
I am Who is
50%
1 5
?
I am Who is
10%
1 4
?
I am Who is
40%
7 10
?
I am Who is
60%
9 10
?
I am Who is
20%
3 4
?
I am Who is
25%
3 10
?
I am Who is
70%
4 5
?
I am Who is
90%
1?
Nuffield Free-Standing Mathematics Activity `Fractions, decimals and percentages' Student sheets ? Nuffield Foundation 2012 downloaded from
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Follow me ? fractions to percentages
Set B
I am 100%
Who is
1 2
?
I am Who is
50%
1 5
?
I am Who is
20%
3 4
?
I am Who is
75%
1? 10
I am Who is
10%
1 4
?
I am Who is
25%
3? 10
I am Who is
30%
2 5
?
I am Who is
40%
7? 10
I am Who is
70%
4 5
?
I am Who is
80%
3 5
?
I am Who is
60%
9 10
?
I am Who is
90%
11 20
?
I am Who is
55%
3 50
?
I am Who is I am Who is
6%
1 3
?
33
1 3
%
14 25
?
I am Who is
56%
5 8
?
I am
62
1 2
%
Who is
19 20
?
I am Who is
95%
37 50
?
I am Who is
74%
3 8
?
I am
37
1 2
%
Who is
2 25
?
Nuffield Free-Standing Mathematics Activity `Fractions, decimals and percentages' Student sheets ? Nuffield Foundation 2012 downloaded from
I am Who is
8%
7 20
?
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