Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What does a ratio of 1:18 mean?

Back

A ratio of 1:18 means that for every 1 unit of the first quantity, there are 18 units of the second quantity.

Front

If there are 14 girls and 12 boys in a class, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 14:12, which simplifies to 7:6.

Front

How do you express a ratio in fraction form?

Back

A ratio can be expressed in fraction form by writing the first quantity as the numerator and the second quantity as the denominator.

Front

What is the ratio of students to teachers if there are 768 students and 32 teachers?

Back

The ratio of students to teachers is 768:32, which simplifies to 24:1.

Front

If a library has 5 non-fiction books for every 9 fiction books, what is the total ratio of non-fiction to fiction books?

Back

The ratio of non-fiction to fiction books is 5:9.

Front

How many non-fiction books are there if there are 117 fiction books and the ratio of non-fiction to fiction is 5:9?

Back

If there are 117 fiction books, then there are 65 non-fiction books.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How can you find the total number of items if you know the ratio and one quantity?

Back

You can find the total by adding the parts of the ratio and then using the known quantity to find the other parts.