Ratios, Rates and Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form 'a : b'.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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What is a unit rate?

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A unit rate is a comparison of a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

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How do you find the unit rate from a total cost?

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To find the unit rate, divide the total cost by the number of units.

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What is the formula to calculate the rate of travel?

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Rate of travel = Distance traveled / Time taken.

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CCSS.6.RP.A.3B

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If you travel 150 miles on 5 gallons, what is the unit rate in miles per gallon?

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30 miles per gallon.

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What is the ratio of squares to circles if there are 12 squares and 6 circles?

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The ratio is 2 : 1.

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How do you convert a ratio into a fraction?

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To convert a ratio 'a : b' into a fraction, write it as a/b.

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What is the unit rate of 3 pounds of granola costing $3.75?

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$1.25 per pound.

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How do you calculate words typed per minute?

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Words per minute = Total words typed / Total minutes.

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