Question

What is the quotient of-5/8/ -2/3

Answer 1

To find the quotient of \(-\frac{5}{8}\) divided by \(-\frac{2}{3}\), we can use the rule that dividing by a fraction is the same as multiplying by its reciprocal.

So, we have:

\[
-\frac{5}{8} \div -\frac{2}{3} = -\frac{5}{8} \times -\frac{3}{2}
\]

When we multiply two negative numbers, the result is positive, so we get:

\[
\frac{5}{8} \times \frac{3}{2}
\]

Now, we multiply the numerators and the denominators:

\[
\frac{5 \times 3}{8 \times 2} = \frac{15}{16}
\]

Therefore, the quotient of \(-\frac{5}{8}\) divided by \(-\frac{2}{3}\) is:

\[
\frac{15}{16}
\]