Ratios, Rates, & Proportions

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What is a ratio?

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A ratio is a comparison of two quantities, showing 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 rate in which the second quantity is 1. It expresses how much of one quantity corresponds to one unit of another quantity.

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How do you calculate a unit rate from a given rate?

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To calculate a unit rate, divide the first quantity by the second quantity.

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What is the unit rate for 5 bananas for $1.95?

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$0.39/banana.

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What is the unit rate for 476 miles in 8 hours?

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59.5 miles/hour.

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What is the unit rate for $31.20 for 15 gallons of gas?

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$2.08/gallon.

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What is the unit rate for 680 calories in 6 muffins?

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113.3 calories/muffin.

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What does it mean to express a ratio in simplest form?

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Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

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If the ratio of shaded squares to unshaded squares is 5:3, how many unshaded squares are there if there are 15 shaded squares?

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9 unshaded squares.