Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as '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 does the ratio 2:6 represent?

Back

The ratio 2:6 means for every 2 parts of one quantity, there are 6 parts of another quantity.

Front

If the ratio of oranges to fruit is 2:6, what is the total number of parts?

Back

The total number of parts is 2 + 6 = 8 parts.

Front

How do you find an unknown quantity in a ratio?

Back

Use cross-multiplication or set up a proportion to find the unknown quantity.

Front

What is the equivalent ratio of 4:1?

Back

Any ratio that can be formed by multiplying both terms of 4:1 by the same number, such as 8:2 or 12:3.

Front

If Will has 28 lollipops and the ratio of Hope's to Will's lollipops is 3:4, how many lollipops does Hope have?

Back

Hope has 21 lollipops.

Front

Are the ratios 20:5 and 4:1 equivalent?

Back

Yes, they are equivalent because both simplify to the same ratio.

Front

What is the first step to solve a ratio problem?

Back

Identify the quantities involved and their relationship.

Front

If Kim makes 8 loaves of bread and uses 12 cups of raisins, what is the ratio of loaves to cups of raisins?

Back

The ratio is 8:12, which simplifies to 2:3.