Question

Simplify Rationalize the denominator
10/-8 - divided by 5

Answer 1

To simplify the expression \(\frac{10}{-8} \div 5\), we can start by rewriting the division as multiplication by the reciprocal:

\[
\frac{10}{-8} \div 5 = \frac{10}{-8} \cdot \frac{1}{5}
\]

Now, we can multiply the fractions:

\[
\frac{10 \cdot 1}{-8 \cdot 5} = \frac{10}{-40}
\]

Next, we can simplify \(\frac{10}{-40}\):

\[
\frac{10}{-40} = \frac{1}{-4} = -\frac{1}{4}
\]

So, the simplified form of the expression \(\frac{10}{-8} \div 5\) is:

\[
-\frac{1}{4}
\]