Question

find the quotient. simplify your answer completely. \\(\frac{ - \frac{1}{2} }{ \frac{5}{8} } = - \frac{?}{\square}\\) enter the number that belongs in the green box.

Explanation:

Step1: Recall dividing fractions rule

Dividing by a fraction is multiplying by its reciprocal. So \(\frac{-\frac{1}{2}}{\frac{5}{8}}=-\frac{1}{2}\times\frac{8}{5}\)

Step2: Multiply numerators and denominators

\(-\frac{1\times8}{2\times5}=-\frac{8}{10}\), simplify to \(-\frac{4}{5}\). So the number in the green box is 4 (and denominator 5, but we need the numerator part here as per the boxed part for the numerator of the right - hand side fraction).

Answer:

4