Ratios, Unit rates, percents

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

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item, typically expressed as 'per one' (e.g., miles per hour).

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100, denoted by the symbol '%'. For example, 25% means 25 out of 100.

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 an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different (e.g., 1:2 is equivalent to 2:4).

Front

If a car travels 50 miles in 40 minutes, how many miles does it travel per minute?

Back

1.25 miles per minute.

Front

What is the ratio of red marbles to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio of red to yellow marbles is 2:5.

Front

How do you find 30% of a number?

Back

To find 30% of a number, multiply the number by 0.30 (or 30/100).

Front

What is the unit rate of 5 miles in 32 minutes?

Back

The unit rate is approximately 0.156 miles per minute.

Front

How do you simplify the ratio 12:16?

Back

To simplify the ratio 12:16, divide both numbers by their greatest common divisor, which is 4, resulting in 3:4.