Question

Multiply 1/5 x 4 1/6 write the answer in the simplest form

Answer 1

To multiply \( \frac{1}{5} \) by \( 4 \frac{1}{6} \), first convert the mixed number \( 4 \frac{1}{6} \) into an improper fraction.

1. Convert \( 4 \frac{1}{6} \):
\[
4 \frac{1}{6} = 4 + \frac{1}{6} = \frac{4 \times 6}{6} + \frac{1}{6} = \frac{24}{6} + \frac{1}{6} = \frac{25}{6}
\]

2. Now multiply \( \frac{1}{5} \) by \( \frac{25}{6} \):
\[
\frac{1}{5} \times \frac{25}{6} = \frac{1 \times 25}{5 \times 6} = \frac{25}{30}
\]

3. Simplify \( \frac{25}{30} \):
The greatest common divisor (GCD) of 25 and 30 is 5. Therefore,
\[
\frac{25 \div 5}{30 \div 5} = \frac{5}{6}
\]

So, the answer in the simplest form is \( \frac{5}{6} \).