Ratios, Rates, Fractions, Decimals

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of girls to boys if there are 8 boys and 12 girls?

Back

The ratio of girls to boys is 3 to 2.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as distance per time.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the quantity by the number of units to find the amount per one unit.

Front

If Jack earns $46.80 for 6 hours of work, what is his rate of pay?

Back

Jack's rate of pay is $7.80 per hour.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1, showing how much of one item corresponds to one unit of another.

Front

If soda is on sale for 4 packs at $10, what is the unit rate per pack?

Back

The unit rate per pack is $2.50.

Front

What does the ratio 8:23 compare in a pet store with 8 dogs, 12 turtles, and 3 cats?

Back

The ratio 8:23 compares the number of dogs to the total number of animals (8 dogs + 12 turtles + 3 cats = 23 animals).

Front

What is the difference between a ratio and a fraction?

Back

A ratio compares two quantities, while a fraction represents a part of a whole.