Ratios, Rates, & Unit Rate

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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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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common factor (GCF).

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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 miles per hour or 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, such as 60 miles per hour (60 miles for 1 hour).

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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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How do you find the unit price of an item?

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To find the unit price, divide the total price by the number of units (e.g., total cost divided by quantity).

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What is the unit rate if 10 apples cost $5?

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The unit rate is $0.50 per apple.

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If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

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The speed is 50 miles per hour.

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What is the ratio of 8 to 12 in simplest form?

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The simplest form of the ratio 8 to 12 is 2:3.

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If you earn $120 for 4 hours of work, what is your hourly rate?

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Your hourly rate is $30 per hour.

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