# Ratio and Proportion Worksheet

Welcome to our Ratio and Proportion worksheet page.

## How do Ratio and Proportion work?

#### How to work out Ratios and Proportions

When we look at ratios, we are usually looking at the relationship of one object compared to another.

When we are looking at proportions, we are looking at one object compared to the whole set of objects.

Proportions are usually written as fractions.

Let's have a look at the example below: There are 3 orange fish and 2 blue fish, so the ratio of orange fish to blue fish is 3:2.

There are 3 orange fish out of 5 fish, so the proportion of orange fish is 35.

There are 2 blue fish out of 5 fish, so the proportion of blue fish is 25.

What does lowest term ratio mean?

Just like fractions, ratios can be simplified.

We can simplify ratios by finding common factors of the numbers involved and dividing them all by the common factors.

The ratios are in lowest terms (or simplest form) when there are no more common factors except 1.

Look at the example below: The ratio of yellow snails to red snails is 2 to 4 or 2 : 4.

Because these two numbers have a common factor of 2, they can both be divided by 2 to give a simpler ratio.

So 2 : 4 = 1 : 2

There are now no common factors apart from 1, so we cannot simplify the ratio further.

So the ratio of yellow snails to red snails in lowest terms is 1 : 2.

This means that there 1 yellow snail for every 2 red snails.

How can we simply the proportion?

The proportion is usually written as a fraction.

We can simplify the proportion by writing the fraction in simplest form.

Look at the snail example again: There are 2 yellow snails and 4 red snails, so 2 out of 6 snails are yellow and 4 out of 6 snails are red.

The proportion of yellow snails is 26. This can be simplified to 13.

The proportion of red snails is 46. This can be simplified to 23.

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### Ratio and Proportion Online Quiz

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This quiz tests your skill and apply your knowledge of ratio and proportion here.

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