Rates, Ratios, Percentages

Front

What is a rate?

Back

A rate is a ratio that compares two different kinds of quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions.

Front

How do you calculate the original price after a discount?

Back

To find the original price, divide the sale price by (1 - discount rate). For example, if a pillow costs $36 after a 25% discount, the original price is $36 / (1 - 0.25) = $48.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two quantities are expressed in their smallest whole number form. For example, the ratio 10:5 simplifies to 2:1.

Front

How do you find a percentage of a quantity?

Back

To find a percentage of a quantity, multiply the quantity by the percentage (as a decimal). For example, to find 15% of 60, calculate 60 * 0.15 = 9.

Front

How do you divide a total into equal parts?

Back

To divide a total into equal parts, divide the total by the number of parts. For example, if there are 15 flowers in 3 pots, each pot has 15 / 3 = 5 flowers.

Front

How many inches are in a foot?

Back

There are 12 inches in a foot.

Front

What is the formula to convert feet to inches?

Back

To convert feet to inches, multiply the number of feet by 12. For example, 5 feet = 5 * 12 = 60 inches.

Front

What does it mean for a percentage to be 'off'?

Back

When a percentage is 'off', it indicates a discount from the original price. For example, a 25% off sale means you pay 75% of the original price.