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 in the form 'a to b' or as a fraction a/b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD) until no further simplification is possible.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate, divide the total cost by the number of items. For example, if 15 hamburgers cost $75, the unit rate is $75 ÷ 15 = $5 per hamburger.

Front

What is the ratio of cats to dogs if there are 3 cats for every 5 dogs?

Back

The ratio of cats to dogs is 3 to 5.

Front

If there are 25 dogs in a shelter with a cat to dog ratio of 3 to 5, how many cats are there?

Back

There are 15 cats in the shelter.

Front

How do you calculate the time taken to travel a certain distance at a constant speed?

Back

To calculate the time taken, use the formula: Time = Distance ÷ Speed.

Front

If Travis rides 3 miles in 20 minutes, how long will it take him to ride 9 miles?

Back

It will take him 60 minutes to ride 9 miles.

Front

What is the simplest form of the ratio 3:15?

Back

The simplest form of the ratio 3:15 is 1:5.

Front

How do you express a ratio as a fraction?

Back