Ratios, Rates, Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as distance to time (e.g., miles per hour).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for 1 hour).

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

If the ratio of apples to oranges is 2:3, how many oranges are there if there are 8 apples?

Back

There are 12 oranges. (2/3 = 8/x; cross-multiply to find x = 12).

Front

What is the formula to calculate a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 50 miles per hour (150 miles / 3 hours).

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 ratio of 10 to 25 in simplest form?

Back

The simplest form of the ratio 10 to 25 is 2:5.