Question

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

Answer 1

9514 1404 393

Answer:

  -7/4

Step-by-step explanation:

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

  $-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\times\dfrac{5}{2}=-\dfrac{7\times5}{(5\times2)(2)}=\boxed{-\dfrac{7}{4}}$

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

  $-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\div\dfrac{4}{10}=-7\div4=\boxed{-\dfrac{7}{4}}$