Question

1/6 times 1 1/5 write answer in simplest form

Answer 1

To multiply \( \frac{1}{6} \) by \( 1 \frac{1}{5} \), we first need to convert \( 1 \frac{1}{5} \) into an improper fraction.

1. Convert \( 1 \frac{1}{5} \) to an improper fraction:
\[
1 \frac{1}{5} = 1 + \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5}
\]

2. Now we can multiply \( \frac{1}{6} \) by \( \frac{6}{5} \):
\[
\frac{1}{6} \times \frac{6}{5} = \frac{1 \times 6}{6 \times 5} = \frac{6}{30}
\]

3. Simplify \( \frac{6}{30} \):
\[
\frac{6}{30} = \frac{1}{5}
\]

So, the final answer in simplest form is:
\[
\frac{1}{5}
\]