Unit Rates & Complex Fractions

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you earn $20 for 4 hours of work, the unit rate is $20 ÷ 4 hours = $5 per hour.

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What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions. For example, (1/2)/(3/4) is a complex fraction.

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How do you simplify a complex fraction?

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To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

If a snail moves 3/10 of a meter every 1/12 hour, how do you find its speed in meters per hour?

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To find the speed, divide the distance by the time: (3/10) ÷ (1/12) = (3/10) * (12/1) = 36/10 = 3.6 meters per hour.

Front

What is the unit price?

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The unit price is the cost per single unit of measure, such as price per ounce or price per pound, which helps compare prices of different products.

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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 total number of units. For example, if Oreos cost $2.98 for 15.5 oz, the unit price is $2.98 ÷ 15.5 oz = $0.192 per oz.

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What is the formula for calculating the cost per pound?

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The formula for calculating the cost per pound is: Total Cost ÷ Total Weight in Pounds.

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If Will spent $3.75 for 3 pounds of granola, what is the cost per pound?

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To find the cost per pound, divide the total cost by the total weight: $3.75 ÷ 3 pounds = $1.25 per pound.

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How do you determine which product is a better deal based on unit price?

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Compare the unit prices of each product. The product with the lower unit price is the better deal.