Ratios

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What is the ratio in math?

A ratio gives the relative sizes of two sets but not the actual numbers of objects in those sets. For example, the fact that the ratio of blue marbles to red marbles in a box is 3 to 4 tells us that for every 3 blue marbles there are 4 red marbles; however, it does not tell us the number of blue or red marbles.

The order of terms in a ratio is important. Notice that in the expression “the ratio of blue marbles to red marbles,” “blue marbles” came first. This order is important: whichever word comes first; its number must come first as well. If the expression had been “the ratio of red marbles to blue marbles,” then the numbers would have been “4 to 3.”

Ratios are similar to fractions; they can both be simplified by finding common factors. Always try to divide by the highest common factor.

A ratio may be written as a: b or a/b or by the phrase “a to b”.

A ratio of 1:6 says that the second number is six times as large as the first.

What is a ratio example?

There are 25 girls and 15 boys in a class. What is the ratio of girls to boys? Give your answer in its simplest form.

The ratio of girls to boys is 25:15

However, both sides of this ratio are divisible by 5

Dividing by 5 gives 5:3

5 and 3 have no common factors (apart from 1).

So the simplest form of the ratio is 5:3

This means there are 5 girls in the class for every 3 boys.