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A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simplifying

User Eljah
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1 Answer

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Answer:

1½ cords per hour

Explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.


( (6)/(5) )/( (4)/(5) )

This is the same as


(6)/(5) / (4)/(5)

To divide two fractions, we multiply by the reciprocal of the second fraction.


(6)/(5) * (5)/(4)


(3)/(1) * (1)/(2)

This simplifies to:


(3)/(2) = 1 (1)/(2)

The unit rate is 1.5 cords per hour

User Franticfrantic
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