Rates, Ratios and Unit Rates

Front

What is a ratio?

Back

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

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

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

Back

To find the unit rate, divide the total amount by the number of units.

Front

If Alycia earned $20.40 in 3 hours, what is her unit rate?

Back

$6.80 per hour.

Front

What is the formula for solving proportions?

Back

Cross-multiply the two ratios and set them equal to each other.

Front

If it snowed 14 inches in 5 hours, what is the unit rate of snowfall?

Back

2.8 inches per hour.

Front

What does it mean if one rate is faster than another?

Back

It means that the first rate results in a greater quantity being completed in the same amount of time.

Front

How do you compare two rates?

Back

To compare two rates, calculate the unit rates and see which one is larger.