Question

Divide and simplify.
- 6/25 divided by 3//5

A − 18/125

B − 2/5

C 1/5

D 5/6

Answer 1

To divide fractions, we can multiply by the reciprocal of the second fraction.

Given the expression:

\[
-\frac{6}{25} \div \frac{3}{5}
\]

We can rewrite it as:

\[
-\frac{6}{25} \times \frac{5}{3}
\]

Now we multiply the fractions:

\[
-\frac{6 \times 5}{25 \times 3} = -\frac{30}{75}
\]

Next, we simplify \(-\frac{30}{75}\):

The greatest common divisor of 30 and 75 is 15. So we divide both the numerator and the denominator by 15:

\[
-\frac{30 \div 15}{75 \div 15} = -\frac{2}{5}
\]

Thus, the simplified result is:

\[
-\frac{2}{5}
\]

The answer is:

**B − 2/5**