Ratios, Rates, & Unit Rate

Front

What is a ratio?

Back

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?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as distance to time (e.g., miles per hour).

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. It tells you how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a total quantity?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if there are 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

60 miles per hour (300 miles ÷ 5 hours = 60 miles/hour).

Front

What is the formula to find the unit price?

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Unit Price = Total Price ÷ Quantity. For example, if 6 gallons cost $15, the unit price is $15 ÷ 6 = $2.50 per gallon.

Front

If you buy 3 pounds of apples for $6, what is the price per pound?

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$2 per pound ($6 ÷ 3 pounds = $2/pound).

Front

What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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How can you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 4:8 simplifies to 1:2.

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What is a proportion?

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A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 is a proportion.