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 as 'a to b' or a:b.

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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 (miles per hour) or price (dollars per pound).

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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 one unit. For example, if you earn $50 for 2 hours of work, the unit rate is $25 per hour.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the first quantity by the second quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

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If you can wash 95 cars in 5 days, how many cars do you wash each day?

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You wash 19 cars each day (95 cars ÷ 5 days = 19 cars per day).

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What is the formula to find the ratio of two quantities?

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The formula to find the ratio of two quantities is: Ratio = Quantity 1 : Quantity 2.

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If Elijah earns $200 for 8 hours of work, what is his unit rate in dollars per hour?

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Elijah's unit rate is $25 per hour ($200 ÷ 8 hours = $25 per hour).

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How do you find the ratio of pears to all fruit in a bowl with 4 apples, 2 bananas, and 5 pears?

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First, find the total number of fruits: 4 + 2 + 5 = 11. The ratio of pears to all fruit is 5:11.

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What is the unit rate if Justin can type 408 words in 4 minutes?

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Justin can type 102 words per minute (408 words ÷ 4 minutes = 102 words per minute).

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What does it mean if a ratio is simplified?

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A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form.