Ratios and Rates

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms, such as a fraction, with a colon (e.g., 3:5), or with the word 'to' (e.g., 3 to 5).

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

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How do you find a unit rate from a total quantity?

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To find a unit rate, divide the total quantity by the number of units. For example, if you have 120 apples and want to find the rate per 10 apples, you divide 120 by 10 to get 12.

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What is the difference between a ratio and a unit rate?

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A ratio compares two quantities, while a unit rate compares a quantity to one unit of another quantity. For example, a ratio of 3:5 compares 3 apples to 5 oranges, while a unit rate might express how many apples are in one orange.

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If there are 30 students and 15 desks, what is the ratio of students to desks?

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The ratio of students to desks is 30:15, which simplifies to 2:1.

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What is the formula to calculate a unit rate?

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The formula to calculate a unit rate is: Unit Rate = Total Quantity / Number of Units.

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If a car travels 240 miles in 4 hours, what is the unit rate in miles per hour?

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Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units. For example, speed is a rate that compares distance (miles) to time (hours).

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How do you express a ratio in simplest form?

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To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.

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If a recipe calls for 2 cups of flour for every 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.