Ratios and Equivalent 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

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different. For example, 1:2 is equivalent to 2:4.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 4:8 can be simplified to 1:2.

Front

What is the ratio of 10 to 20?

Back

The ratio of 10 to 20 is 1:2 when simplified.

Front

If there are 8 red marbles and 4 blue marbles, what is the ratio of red to blue marbles?

Back

The ratio of red to blue marbles is 2:1.

Front

How can you express the ratio of 3 apples to 5 oranges?

Back

The ratio of 3 apples to 5 oranges can be expressed as 3:5.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

Front

If the ratio of boys to girls in a class is 3:4 and there are 12 boys, how many girls are there?

Back

If the ratio is 3:4, then for every 3 boys, there are 4 girls. If there are 12 boys, there are 16 girls.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 2:3 can be written as the fraction 2/3.

Front

How do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and solve for the unknown value.