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 write a ratio in fraction form?

Back

A ratio can be written in fraction form by placing the first quantity over the second quantity, for example, a:b can be written as a/b.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

What is the equivalent ratio for 4:6?

Back

2:3 (by dividing both terms by 2).

Front

If the ratio of boys to girls is 3:5, how many boys are there if there are 15 girls?

Back

9 boys (because 3/5 = x/15, solving gives x = 9).

Front

What is the ratio of 10 apples to 15 oranges?

Back

The ratio is 2:3 (by dividing both terms by 5).

Front

How can you find an equivalent ratio?

Back

You can find an equivalent ratio by multiplying or dividing both terms of the ratio by the same non-zero number.

Front

Is the ratio of 5:10 equivalent to 1:2?

Back

Yes, they are equivalent because both simplify to the same fraction.

Front

What is the ratio of 12 to 16 in simplest form?

Back

The simplest form is 3:4 (by dividing both terms by 4).

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

6 cups of sugar (because the ratio 2:3 means for every 2 cups of flour, 3 cups of sugar are needed).