Ratios, Rates and Percents!

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What is a ratio?

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A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you convert a fraction to a decimal?

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To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

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What is a percent?

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A percent is a way of expressing a number as a fraction of 100. It is denoted using the symbol '%'. For example, 45% means 45 out of 100.

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How do you find the percent of a number?

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To find the percent of a number, multiply the number by the percent (as a decimal). For example, to find 60% of 50, calculate 50 * 0.60 = 30.

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CCSS.6.RP.A.3C

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What is the relationship between fractions, decimals, and percents?

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Fractions, decimals, and percents are different ways to represent the same value. For example, 1/2 = 0.5 = 50%.

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How do you compare percentages?

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To compare percentages, convert them to the same format (either all to decimals or all to fractions) and then compare the values.

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What is a rate?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity by the number of units. For example, if a car travels 150 miles in 3 hours, the unit rate is 150 miles / 3 hours = 50 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the formula for finding the total amount after a percent increase?

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Total Amount = Original Amount + (Original Amount * Percent Increase).

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CCSS.6.RP.A.3C

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How do you convert a decimal to a percent?

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To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol. For example, 0.75 = 75%.