Fractions, Decimals And Percentages Worksheet - Level 2
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142 Fractions, decimals and percentages
You can use fractions, decimals and percentages to help you solve everyday practical problems.
Fractions
• Write fractions in their simplest form.
Do this by dividing the numerator and denominator by their highest
common factor (HCF).
__
__
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Example:
in its simplest form is
. You divide both the
36
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numerator and the denominator by 12.
• Equivalent fractions are fractions with an identical
simplest form.
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both have the simplest form of
Example:
and
, so they
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20
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are equivalent.
• A mixed number has a whole number part and a fraction part.
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Example: 2
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• You often need to express one quantity as a fraction of another
quantity. You might need to round quantities fi rst.
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Example: 7 as a fraction of 49 is
49
7
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500
2
Example: 499 as a fraction of 753 is roughly
.
750
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• You often need to fi nd fractions of quantities in everyday situations.
Example: three-sevenths of a population of 28 000 voted Labour:
3 × 28 000
__
__________
3
28 000 12 000
or
3 400 12 000
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Decimals
• You need to know how to order and compare decimals.
Compare place values digit by digit.
Example: 3.0203 is more than 3.015 because 2 hundredths is more than 1 hundredth.
• You need to feel confi dent about calculating with decimals in practical situations.
Example: £1 € 0.88.
To convert pounds to euros, multiply the amount in pounds by 0.88
To convert euros to pounds, divide the amount in euros by 0.88
• You need to be able to round numbers appropriately.
Example: the number 24.9058 is 24.9 to 1 decimal place and 24.91 to 2 decimal places.
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