Ratios and Proportions

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 then isolate the variable.

Front

What is the extended ratio?

Back

An extended ratio compares three or more quantities, expressed as 'a:b:c'.

Front

If the ratio of red fish to blue fish is 3:5 and there are 20 blue fish, how many red fish are there?

Back

12 red fish.

Front

In a triangle, if the angles are in the ratio 1:2:3, what are the measures of the angles?

Back

30°, 60°, 90°.

Front

If the angles of a triangle are in the ratio 2:4:9, what are the measures of the angles?

Back

24°, 48°, 108°.

Front

What is the formula for finding the missing term in a proportion?

Back

If a/b = c/d, then ad = bc.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio 'a:b' to a fraction, write it as a/b.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and vice versa, as they both represent a comparison of quantities.