Decimals & Fractions Examples - Nuffield Foundation
[Pages:6]A Resource for Free-standing Mathematics Qualifications
Fractions, decimals and %
Decimals & Fractions
Examples
To change a decimal to a fraction: use the place value of the last digit
? 5
0.85 =
85 100
=
17 20
? 5 hundredths
To change a fraction to a decimal: divide the top by the bottom
4 5
= 4 ? 5 = 0.8
On a calculator press: 85 a b c 100 =
Fractions, Decimals & %
To write a % as a fraction or decimal, divide by 100
Examples
64% = 64 ? 100 = 0.64
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
0.125 = 0.125 ? 100 = 12.5%
2 5
=
2 5
? 100
(i.e.
2 5
of 100)
2 ? 5 ? 100 = 40%
or 2 a b c 5 ? 100 = 40%
Some to try:
1 Write these decimals as fractions:
0.3 =
0.5 =
0.6 =
0.02 =
0.05 =
0.25 =
0.36 =
0.125 =
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2 Write these fractions as decimals:
7 10
=
1 5
=
2 5
=
7 8
=
2 3
=
9 20
=
3 Write these percentages as decimals:
3% =
30% =
8% =
12% =
25% = 67% =
4 Write these percentages as fractions :
20% =
75% =
40% =
15% =
5% = 24% =
5 Write these decimals as percentages:
0.25 =
0.5 =
0.45 =
0.09 =
0.7 = 0.4 =
6 Write these fractions as percentages:
1 10
=
1 5
=
4 5
=
17 20
=
9 10
=
1 3
=
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Fractions, decimals and %
3 4
=
7 25
=
80% = 17.5% =
30% = 35% =
0.07 = 0.375 =
3 4
=
2 3
=
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A Resource for Free-standing Mathematics Qualifications
Fractions, decimals and %
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
? The Nuffield Foundation
Decimal
3
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A Resource for Free-standing Mathematics Qualifications
Fractions, decimals and %
Complete this table.
Decimal 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.25 0.75
? The Nuffield Foundation
Fraction
4
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A Resource for Free-standing Mathematics Qualifications
Fractions, decimals and %
Draw a line from each decimal to the equivalent fraction.
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.25
0.75
1 5
1
3
10
5
2 5
7 10
9
1
10
2
1 4
3 4
4
3
5
10
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A Resource for Free-standing Mathematics Qualifications
Fractions, decimals and %
Complete this table.
%
Decimal
1%
2%
3%
4%
5%
6%
7%
8%
9%
% 10% 20% 30% 40% 50% 60% 70% 80% 90%
Decimal
? The Nuffield Foundation
6
Photo-copiable
A Resource for Free-standing Mathematics Qualifications
Fractions, decimals and %
Complete this table.
%
Fraction
1%
2%
3%
4%
5%
6%
7%
8%
9%
% 10% 20% 30% 40% 50% 60% 70% 80% 90%
Fraction
? The Nuffield Foundation
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A Resource for Free-standing Mathematics Qualifications
Fractions, decimals and %
Complete this table.
Decimal
%
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
0.25
0.75
? The Nuffield Foundation
Decimal 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.025 0.075
8
%
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