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What is 9/4 divided by 5/8? Help me pls

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We are given the following operation:


((9)/(4))/((5)/(8))

To solve this we will use the following property of rationals:


((a)/(b))/((c)/(d))=(ad)/(bc)

Applying the property we get:


((9)/(4))/((5)/(8))=((9)(8))/((5)(4))

Solving the operations:


((9)(8))/((5)(4))=(72)/(20)

We can simplify by dividing both sides by 4:


((72)/(4))/((20)/(4))=(18)/(5)

Since we can't simplify any further this is the final answer.

User Paul Welbourne
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