Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

Front

What is an equivalent ratio?

Back

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

Front

How can you find an equivalent ratio?

Back

To find an equivalent ratio, 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 numbers have no common factors other than 1.

Front

If the ratio of coaches to players is 3:10, how many players are there if there are 6 coaches?

Back

If the ratio is 3:10, then for every 3 coaches, there are 10 players. Therefore, with 6 coaches, there would be 20 players (10/3 * 6 = 20).

Front

What is the ratio of 12:20 in simplest form?

Back

The simplest form of the ratio 12:20 is 3:5.

Front

What is the common factor of 12 and 20?

Back

The common factors of 12 and 20 are 1, 2, and 4.

Front

How do you express a ratio in fractional form?

Back

A ratio can be expressed in fractional form by writing it as a fraction, with the first number as the numerator and the second number as the denominator.

Front

What is the missing number in the ratio 2:x if the equivalent ratio is 4:8?

Back

The missing number is 4, because 2:4 is equivalent to 4:8.