Ratio and Proportion

Front

What is a ratio?

Back

A ratio is a comparison of two or more quantities of the same kind, expressed as a fraction or with a colon (e.g., 3:4).

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify 8:12, divide both by 4 to get 2:3.

Front

What does it mean if two ratios are equivalent?

Back

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

Front

If 3:4 = 15:20, what does this indicate?

Back

This indicates that the two ratios are equivalent, meaning they represent the same relationship.

Front

What is the ratio of 30 minutes to 2 hours?

Back

1:4 (since 30 minutes is 1/4 of 2 hours).

Front

In a class with 15 boys and 20 girls, what is the ratio of girls to total students?

Back

The ratio of girls to total students is 4:7 (20 girls out of 35 total students).

Front

What is the ratio of boys to girls in a class with 30 boys and 12 girls?

Back

The ratio of boys to girls is 5:2.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, 1:2 = 2:4 is a proportion.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour.

Front

How do you find the total number of students from a ratio?

Back

To find the total number of students from a ratio, add the parts of the ratio together. For example, in a ratio of 3:4, the total is 3 + 4 = 7 parts.