Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, even if the numbers themselves are different.

Front

How can you create an equivalent ratio?

Back

You can create an equivalent ratio by multiplying or dividing both terms of the ratio by the same non-zero number.

Front

If you have the ratio 4:12, what is an equivalent ratio?

Back

An equivalent ratio is 1:3, obtained by dividing both terms by 4.

Front

Will multiplying both terms of a ratio by zero give you an equivalent ratio?

Back

No, multiplying by zero results in 0:0, which is not a valid ratio.

Front

What happens if you add the same number to both terms of a ratio?

Back

Adding the same number to both terms of a ratio will not create an equivalent ratio.

Front

What is the simplest form of the ratio 8:20?

Back

The simplest form of the ratio 8:20 is 2:5, obtained by dividing both terms by 4.

Front

If a team wins 5 out of every 7 games, what is the ratio of wins to total games played?

Back

The ratio of wins to total games played is 5:7.

Front

How do you find a missing number in an equivalent ratio?

Back

To find a missing number in an equivalent ratio, set up a proportion and solve for the unknown.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.