What is the quotient of − 5/8÷− 2/3

Question

?(1 point)

Answer 1

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

Given the expression:

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

First, take the reciprocal of \(-\frac{2}{3}\), which is \(-\frac{3}{2}\). So, the division becomes:

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

Now, multiply the numerators and the denominators:

Numerator: \(-5 \times -3 = 15\)
Denominator: \(8 \times 2 = 16\)

Thus, we have:

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

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