Question

What is the quotient when you divide negative 3/4 by 3/8

Answer 1

To divide \(-\frac{3}{4}\) by \(\frac{3}{8}\), you can multiply by the reciprocal of the divisor. The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\).

So, the operation can be expressed as:

\[
-\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3}
\]

Now, you can multiply the fractions:

\[
-\frac{3 \times 8}{4 \times 3} = -\frac{24}{12}
\]

Next, simplify \(-\frac{24}{12}\):

\[
-\frac{24}{12} = -2
\]

Therefore, the quotient when dividing \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\).