Rates, Ratios, Proportions and Percents

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

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 the result by 100.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the percent of a number?

Back

To find the percent of a number, multiply the number by the percent (in decimal form). For example, to find 20% of 50, calculate 50 * 0.20 = 10.

Front

What is the formula for calculating percent change?

Back

Percent Change = ((New Value - Old Value) / Old Value) * 100.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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 percent of a total?

Back

The percent of a total is calculated by dividing the part by the whole and then multiplying by 100.

Front

How do you calculate the total from a percent?

Back

To calculate the total from a percent, divide the part by the percent (in decimal form). For example, if 20 is 40% of a total, the total is 20 / 0.40 = 50.

Front

What is a percentage point?

Back

A percentage point is the unit for the arithmetic difference of two percentages.