Rates, Ratios, and 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 solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply the two ratios and then isolate the variable.

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a given quantity?

Back

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

Front

What is the formula for calculating a rate?

Back

The formula for calculating a rate is: Rate = Quantity / Time.

Front

If a job pays $X for Y hours, how do you find the pay per hour?

Back

To find the pay per hour, divide the total pay ($X) by the number of hours worked (Y).

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two quantities with different units.

Front

How can you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.