Fractions As Ratios Worksheet printable pdf download

Fractions As Ratios Worksheet

nuMber AnD AlgebrA

• real numbers

fractions as ratios

introduction to ratios

Ratios are used in many aspects of everyday life. They are used to compare quantities of the

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same kind.

Where might you hear the following comparisons? What are the quantities being

compared?

1. Michael Schumacher’s F1 car is twice as fast as Mick’s delivery van.

2. You will need 2 buckets of water for every

bucket of sand.

3. The fertiliser contains 3 parts of phosphorus to 2 parts of potassium.

4. The Tigers team fi nished the season with a win : loss ratio of 5 to 2.

5. Mix 1 teaspoon of salt with 4 teaspoons of fl our.

In the last example we are considering the ratio of salt (1 teaspoon) to fl our (4 teaspoons). We

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write 1 : 4 and say, ‘one is to four’; we are actually mixing a total of 5 teaspoons. Ratios can

also be written in fraction form:

1 : 4 «

Note: Since the ratios compare quantities of the same kind, they do not have a

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name or unit of measurement. That is, we write the ratio of salt to fl our as 1 : 4, not

1 teaspoon : 4 teaspoons. The order of the numbers in a ratio is important. In the example

of the ratio of salt and fl our, 1 : 4 means 1 unit (for example a teaspoon) of salt to 4 units of

fl our. The amount of fl our is 4 times as large as the amount of salt. On the contrary, the ratio

4 : 1 means 4 units of salt to 1 unit of fl our, which means the amount of salt is 4 times as

large as the amount of fl our.

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Chapter 4

rational numbers

Fractions As Ratios Worksheet