9514 1404 393
Answer:
-7/4
Step-by-step explanation:
Here, you can "invert and multiply" ...
[tex]-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\times\dfrac{5}{2}=-\dfrac{7\times5}{(5\times2)(2)}=\boxed{-\dfrac{7}{4}}[/tex]
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Alternatively, you can express each fraction using the same denominator, then find the quotient as the ratio of numerators.
[tex]-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\div\dfrac{4}{10}=-7\div4=\boxed{-\dfrac{7}{4}}[/tex]
