Unit Rate/Complex Fractions

Front

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 you buy 3 pounds of granola for $3.75, the unit rate is the cost per pound.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount of one quantity by the total amount of the other quantity. For example, if you spend $3.75 for 3 pounds of granola, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

What is a complex fraction?

Back

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

Front

How do you simplify a complex fraction?

Back

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

Front

What is the unit rate of 5/8 page read in 2/3 minute?

Back

The unit rate is 15/16 pages per minute.

Front

How do you find the better deal between two products?

Back

To find the better deal, calculate the unit price (cost per unit) for each product and compare them. The product with the lower unit price is the better deal.

Front

If 20 adult tickets cost $250, what is the cost per adult ticket?

Back

The cost per adult ticket is $250 ÷ 20 = $12.50.

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How do you find the speed of an object?

Back

Speed is calculated by dividing the distance traveled by the time taken. For example, if a sloth moves 3/8 of a foot in 3/4 of a minute, its speed is (3/8) ÷ (3/4) = 1/2 ft/min.

Front

What is the unit rate of 15 tickets for $71.25?

Back

The unit rate is $71.25 ÷ 15 = $4.75 per ticket.

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How do you compare two complex fractions?

Back

To compare two complex fractions, convert them to a common denominator or simplify them to their simplest form, then compare the resulting fractions.