6 i Find the quotient. Write your answer as a fraction in simplest form. 7 2 10 E ES - (7)/(10) / (2)/(5) ​

Question

6 i Find the quotient. Write your answer as a fraction in simplest form. 7 2 10 E ES


`- (7)/(10) / (2)/(5)`
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Answer 1

9514 1404 393

Answer:

-7/4

Explanation:

Here, you can "invert and multiply" ...

`-(7)/(10)/(2)/(5)=-(7)/(10)*(5)/(2)=-(7*5)/((5*2)(2))=\boxed{-(7)/(4)}`

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Alternatively, you can express each fraction using the same denominator, then find the quotient as the ratio of numerators.

`-(7)/(10)/(2)/(5)=-(7)/(10)/(4)/(10)=-7/4=\boxed{-(7)/(4)}`