Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, often expressed in the form a:b or a/b.

Front

What is a rate?

Back

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

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, indicating how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate from a given rate?

Back

To calculate a unit rate, divide the numerator by the denominator to find the amount per one unit of the denominator.

Front

If Jose swims 3 laps in 2 minutes, how do you find the time to swim 27 laps?

Back

Set up a proportion or use the unit rate to find the time per lap, then multiply by the total number of laps.

Front

What is the relationship between equivalent ratios?

Back

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

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is the formula to find the rate of work done?

Back

Rate of work = Total work done / Time taken.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio a:b into a fraction, write it as a/b.

Front

What is the significance of simplifying ratios?

Back

Simplifying ratios makes them easier to understand and compare, revealing the simplest form of the relationship.