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

Answer 1

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 2

in simplest form

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.