Question

Express the form 1:n
give n as a decimal.

14:7

Answer 1

Answer:

A ratio is used to describe how two quantities are related.

For example, we might say that orange squash is to be mixed with water in a ratio of 1:6.

This means that for every 1 part squash, there will need to be 6 parts of water.

If there was 100ml of squash, there would be 600ml of water.

Another common example of a ratio is a map scale. A particular map scale might be 1:50,000.

In this case it means that 1cm on the map represents 50,000cm in "real-life".

50,000cm = 500m = 0.5km, so 1cm on the map represents half a kilometre. 2cm would therefore represent 1km.

Finding equivalent ratios

The ratio of squash to water in the example above was 1:6, but this could be written as 100:600, or 20:120, or 5:30.

These ratios are equivalent because they have the same meaning - the amount of water is six times the amount of squash.

You can find equivalent ratios by multiplying or dividing both sides by the same number.

This is similar to finding equivalent fractions. Some examples of finding equivalent ratios      

are shown on the right. All the ratios in the diagram are equivalent.

Writing a ratio in its simplest form

A ratio is in its simplest form when both sides are whole numbers and there is no whole

number which both sides can be divided by. In the example opposite, 1:6 is the simplest

form of the ratio.

To write a ratio in its simplest form, keep dividing both sides by the same number until

you can't go any further without going into decimals.

Example: write 160:240 in its simplest form

160:240 (divide both sides by 4)

40:60 (divide both sides by 2)

20:30 (divide both sides by 5)

4:6 (divide both sides by 2)

2:3 SIMPLEST FORM

Equivalent Ratios

Step-by-step explanation: