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

Answer 1

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

So, to calculate \(-\frac{5}{8} \div -\frac{2}{3}\), we can rewrite it as:

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

Now, multiplying the numerators and the denominators:

1. Multiply the numerators: \(-5 \times -3 = 15\)
2. Multiply the denominators: \(8 \times 2 = 16\)

Putting it together, we get:

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

Therefore, the quotient of \(-\frac{5}{8}\) divided by \(-\frac{2}{3}\) is \(\frac{15}{16}\).