Ratios, Proportions, and Similarity

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 and then divide to find the unknown value.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may differ in size; their corresponding sides are in proportion.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two terms have no common factors other than 1.

Front

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

Back

12 red fish.

Front

What is the ratio of red LEGOS to yellow LEGOS if there are 3 red and 6 yellow?

Back

The ratio is 1:2.

Front

How do you express a ratio as a fraction?

Back

A ratio 'a:b' can be expressed as the fraction a/(a+b).