Rates, Ratios and Percents

Front

What is a ratio?

Back

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

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part per hundred.

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 to find the percentage of a number?

Back

The formula is: Percentage = (Part / Whole) × 100.

Front

If 75% of a number is 36, what is the number?

Back

The number is 48. (36 = 0.75 * x, so x = 36 / 0.75 = 48)

Front

How do you find the equivalent fraction of a percent?

Back

To find the equivalent fraction of a percent, divide the percent by 100 and simplify if necessary.

Front

What is the relationship between ratios, rates, and percents?

Back

Ratios compare quantities, rates compare different units, and percents express a ratio as a part of 100.

Front

If a machine fills 300 packages in 18 minutes, how long will it take to fill 500 packages?

Back

It will take 30 minutes. (Rate = 300 packages / 18 minutes = 16.67 packages/minute; Time = 500 packages / 16.67 packages/minute = 30 minutes)

Front

What is the equivalent fraction of 30%?

Back