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 \( 4 \frac{1}{6} \):
- Multiply the whole number \( 4 \) by the denominator \( 6 \): \( 4 \times 6 = 24 \).
- Add the numerator \( 1 \): \( 24 + 1 = 25 \).
- So, \( 4 \frac{1}{6} = \frac{25}{6} \).
2. Now multiply the fractions:
\[
\frac{1}{5} \times \frac{25}{6} = \frac{1 \times 25}{5 \times 6} = \frac{25}{30}
\]
3. Simplify \( \frac{25}{30} \):
- The greatest common divisor (GCD) of 25 and 30 is 5.
- Divide both the numerator and the denominator by 5:
\[
\frac{25 \div 5}{30 \div 5} = \frac{5}{6}
\]
Thus, \( \frac{1}{5} \times 4 \frac{1}{6} \) in simplest form is \( \frac{5}{6} \).
1. Convert \( 4 \frac{1}{6} \):
- Multiply the whole number \( 4 \) by the denominator \( 6 \): \( 4 \times 6 = 24 \).
- Add the numerator \( 1 \): \( 24 + 1 = 25 \).
- So, \( 4 \frac{1}{6} = \frac{25}{6} \).
2. Now multiply the fractions:
\[
\frac{1}{5} \times \frac{25}{6} = \frac{1 \times 25}{5 \times 6} = \frac{25}{30}
\]
3. Simplify \( \frac{25}{30} \):
- The greatest common divisor (GCD) of 25 and 30 is 5.
- Divide both the numerator and the denominator by 5:
\[
\frac{25 \div 5}{30 \div 5} = \frac{5}{6}
\]
Thus, \( \frac{1}{5} \times 4 \frac{1}{6} \) in simplest form is \( \frac{5}{6} \).