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 express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be simplified to the same fraction.

Front

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Front

What is the ratio of coaches to players if there are 3 coaches and 10 players?

Back

The ratio of coaches to players is 3:10.

Front

If a ratio is 2:3, what is the equivalent ratio if both terms are multiplied by 2?

Back

The equivalent ratio is 4:6.

Front

What is the simplest form of the ratio 8:12?

Back

The simplest form of the ratio 8:12 is 2:3.

Front

Are the ratios 3:4 and 6:12 equivalent?

Back

No, the ratios 3:4 and 6:12 are not equivalent.

Front

What is the missing number in the ratio 3:x = 6:12?

Back

The missing number is 6.

Front

How do you simplify a ratio?

Back

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