Question

What is the quotient of −5/8÷ −2/3 ?

Answer 1

To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction.

Given the expression:

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

This can be rewritten as:

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

Now, multiplying the two fractions:

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

Since both signs were negative, the result is positive. Thus, the quotient of \(-\frac{5}{8} \div -\frac{2}{3}\) is:

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