Ratios, Rates, Percent, and Proportions Exam

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What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, using a colon, or in words. For example, the ratio of 4 to 1 can be written as 4:1.

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, to simplify the ratio 8:4, divide both by 4 to get 2:1.

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units. For example, speed is a rate that compares distance to time, such as 60 miles per hour.

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

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How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

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What is the formula for finding a percentage?

Back

The formula for finding a percentage is: (part/whole) x 100 = percentage. For example, if you have 20 out of 50, the percentage is (20/50) x 100 = 40%.

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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. For example, 3/4 = (3 ÷ 4) x 100 = 75%.

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What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

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How do you find the unit rate?

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To find the unit rate, divide the first quantity by the second quantity. For example, if you travel 150 miles in 3 hours, the unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

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What is a benchmark percentage?

Back

A benchmark percentage is a commonly used percentage that helps in estimating or comparing values, such as 50%, 25%, or 10%.