Ratio, Rates, and Percent Proportions

Front

What is a ratio?

Back

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

Front

How do you express a ratio?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 2/3), with a colon (e.g., 2:3), or in words (e.g., '2 to 3').

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 price per item.

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100, indicating how many parts out of 100.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100.

Front

What is the formula for finding the percent of a number?

Back

The formula is: Percent = (Part/Whole) x 100.

Front

If 25% of a class of 40 students are girls, how many girls are there?

Back

There are 10 girls in the class (25% of 40 = 10).

Front

What is the unit rate?

Back

The unit rate is a rate in which the second quantity is 1, such as 60 miles per hour.

Front

How do you find the unit price?

Back

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

Front

If a car travels 300 miles in 5 hours, what is its average speed?

Back

The average speed is 60 miles per hour (300 miles ÷ 5 hours).