Ratios, Rates and Unit Rates

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) until no further simplification is possible.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars 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 or $2 per item.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide the numerator by the denominator to find the value per one unit of the second quantity.

Front

What is the formula for calculating a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 120 miles in 2 hours, what is the unit rate in miles per hour?

Back

The unit rate is 60 miles per hour (120 miles ÷ 2 hours).

Front

What is the ratio of dimes to quarters if there are 10 dimes and 8 quarters?

Back

The ratio of dimes to quarters is 5:4.

Front

How do you find the total cost of multiple items given the price per item?

Back

Multiply the price per item by the number of items to find the total cost.

Front

If 4 concert tickets cost $124, what is the cost per ticket?

Back

The cost per ticket is $31 (124 ÷ 4).