Ratio and Proportion

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a:b = c:d'.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What does it mean if two ratios form a proportion?

Back

It means that the two ratios are equivalent, or that their cross-products are equal.

Front

Is 8:9 = 24:18 a true proportion?

Back

False, because 8/9 does not equal 24/18.

Front

Is 3:4 = 15:20 a true proportion?

Back

True, because 3/4 equals 15/20.

Front

What is the missing number in the proportion 1:x = 3:9?

Back

The missing number is 3.

Front

If a:b = 4:5, what is the value of a if b = 10?

Back

a = 8, because 4/5 = a/10.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios represent the same relationship between quantities and can be simplified to the same form.

Front

How can you express the ratio of 10 to 15 in simplest form?

Back

The simplest form is 2:3.