Simplify Rationalize the denominator

Question

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:

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