Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What does a ratio of 5:4 mean?

Back

A ratio of 5:4 means that for every 5 units of the first quantity, there are 4 units of the second quantity.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 10:15 can be simplified to 2:3.

Front

What is the ratio of apples to bananas if there are 10 apples and 6 bananas?

Back

The ratio of apples to bananas is 10:6, which can be simplified to 5:3.

Front

If the ratio of squares to circles is 3:6, what is the simplified form?

Back

The simplified form of the ratio 3:6 is 1:2.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How do you find the total parts in a ratio?

Back

To find the total parts in a ratio, add the numbers in the ratio together. For example, in the ratio 3:2, the total parts are 3 + 2 = 5.

Front

What is the ratio of hamburgers to hot dogs if there are 4 hamburgers and 2 hot dogs?

Back

The ratio of hamburgers to hot dogs is 4:2, which can be simplified to 2:1.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 6 cups of flour?

Back

If the ratio is 2:3, for every 3 parts of flour, there are 2 parts of sugar. For 6 cups of flour, you need 4 cups of sugar.