Proportions, percents, conversions

Front

What is a proportion?

Back

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

Tags

CCSS.7.RP.A.2A

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 50% of 150, calculate 150 * 0.50 = 75.

Tags

CCSS.6.RP.A.3C

Front

What is the formula for converting kilometers to miles?

Back

To convert kilometers to miles, divide the number of kilometers by 1.6093.

Tags

CCSS.6.RP.A.3D

Front

If 20 is 80% of a number, how do you find that number?

Back

To find the number, divide 20 by 0.80. The result is 25.

Tags

CCSS.6.RP.A.3C

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Tags

CCSS.6.RP.A.3A

Front

How do you set up a proportion to solve a problem?

Back

To set up a proportion, create a fraction for each ratio and set them equal to each other. Then, cross-multiply to solve for the unknown.

Tags

CCSS.7.RP.A.2C

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities, expressed as a fraction or with a colon (e.g., 4:2 or 4/2).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

What is the formula for finding the total amount when given a part and a percentage?

Back

To find the total amount, divide the part by the percentage (in decimal form). For example, if 20 is 80%, the total is 20 / 0.80 = 25.

Tags

CCSS.6.RP.A.3C

Front

How do you find the number of items in a ratio when given the total number of items?

Back

To find the number of items in a ratio, first determine the total parts of the ratio, then divide the total number of items by the total parts and multiply by the parts of the specific item.