Question
1/5 x 4 1/6, write in simplest form
Answers
GPT-4o mini
To multiply the fractions \( \frac{1}{5} \) and \( 4 \frac{1}{6} \), we first need to convert the mixed number \( 4 \frac{1}{6} \) into an improper fraction.
1. Convert \( 4 \frac{1}{6} \) to an improper fraction:
\[
4 \frac{1}{6} = 4 \times 6 + 1 = 24 + 1 = 25
\]
So, \( 4 \frac{1}{6} = \frac{25}{6} \).
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. Next, simplify \( \frac{25}{30} \):
- The greatest common divisor (GCD) of 25 and 30 is 5.
\[
\frac{25 \div 5}{30 \div 5} = \frac{5}{6}
\]
Thus, the product \( \frac{1}{5} \times 4 \frac{1}{6} \) in simplest form is \( \frac{5}{6} \).
1. Convert \( 4 \frac{1}{6} \) to an improper fraction:
\[
4 \frac{1}{6} = 4 \times 6 + 1 = 24 + 1 = 25
\]
So, \( 4 \frac{1}{6} = \frac{25}{6} \).
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. Next, simplify \( \frac{25}{30} \):
- The greatest common divisor (GCD) of 25 and 30 is 5.
\[
\frac{25 \div 5}{30 \div 5} = \frac{5}{6}
\]
Thus, the product \( \frac{1}{5} \times 4 \frac{1}{6} \) in simplest form is \( \frac{5}{6} \).