Ratio and Proportion

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

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

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

What is the ratio of girls to boys in a class of 10 boys and 14 girls?

Back

The ratio of girls to boys is 14:10, which simplifies to 7:5.

Front

If there are 15 boys and 20 girls in a class, what is the ratio of girls to total students?

Back

The ratio of girls to total students is 20:35, which simplifies to 4:7.

Front

Convert 30 minutes to hours and express it as a ratio with 2 hours.

Back

30 minutes is 0.5 hours, so the ratio of 30 minutes to 2 hours is 1:4.

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and express them as a fraction.

Front

What does it mean if two ratios are in proportion?

Back

It means that the cross products of the two ratios are equal.