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James bought 5 1/6pounds of grapes for $7.75. At theunit rate, how much would 3.4 pounds of grapes cost?

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Answer:

Explanation:

5 1/6 pounds of graphs are bought for $7.75, meaning 1 pound costs


\frac{7.75\text{ dollars}}{5(1)/(6)lb}

And we need to compute the division above.

The first step is to convert the mixed number 5 1/6 into an improper fraction.

Now, it is true that


5(1)/(6)=5+(1)/(6)

multiplying 5 by 6/6 gives


5\cdot(6)/(6)+(1)/(6)
(30)/(6)+(1)/(6)

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