Question

whats the quotion of -5/8 / -2/3

Answer 1

in simplest form

Answer 2

To divide the fractions \(-\frac{5}{8}\) by \(-\frac{2}{3}\), you can multiply the first fraction by the reciprocal of the second fraction.

1. Flip the second fraction: \(-\frac{2}{3}\) becomes \(-\frac{3}{2}\).
2. Multiply \(-\frac{5}{8}\) by \(-\frac{3}{2}\):

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

3. Multiply the numerators and the denominators:

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

Thus, the quotient of \(-\frac{5}{8} \div -\frac{2}{3}\) is \(\frac{15}{16}\).

Answer 3

The quotient \(\frac{15}{16}\) is already in its simplest form. The numerator (15) and denominator (16) do not have any common factors other than 1. Therefore, the final answer is:

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

This is the simplest form.