Ratios and Rates

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 is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour.

Front

If the ratio of cats to dogs is 2:3 and there are 10 cats, how many dogs are there?

Back

15 dogs.

Front

What does it mean if a ratio is written as X:Y?

Back

It means for every X units of the first quantity, there are Y units of the second quantity.

Front

How do you find the total number of items from a ratio?

Back

Add the parts of the ratio together and then use the ratio to find the total based on the known quantity.

Front

What is the ratio of 4 apples to 6 oranges in simplest form?

Back

2:3.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

2:3.

Front

How do you convert a ratio to a fraction?

Back

Write the first quantity as the numerator and the second quantity as the denominator.