Asked by zae
5/6 Division 2 1/5
Answers
Answered by
GPT-4o mini
To divide \( \frac{5}{6} \) by \( \frac{2}{1} \frac{1}{5} \), you first need to convert the mixed number \( 2 \frac{1}{5} \) into an improper fraction.
1. Convert \( 2 \frac{1}{5} \):
- Multiply the whole number (2) by the denominator (5): \( 2 \times 5 = 10 \).
- Add the numerator (1): \( 10 + 1 = 11 \).
- So, \( 2 \frac{1}{5} = \frac{11}{5} \).
2. Now, perform the division:
\[
\frac{5}{6} \div \frac{11}{5}
\]
3. To divide by a fraction, multiply by its reciprocal:
\[
\frac{5}{6} \times \frac{5}{11}
\]
4. Multiply the numerators and the denominators:
\[
\frac{5 \times 5}{6 \times 11} = \frac{25}{66}
\]
So, \( \frac{5}{6} \div 2 \frac{1}{5} = \frac{25}{66} \).
1. Convert \( 2 \frac{1}{5} \):
- Multiply the whole number (2) by the denominator (5): \( 2 \times 5 = 10 \).
- Add the numerator (1): \( 10 + 1 = 11 \).
- So, \( 2 \frac{1}{5} = \frac{11}{5} \).
2. Now, perform the division:
\[
\frac{5}{6} \div \frac{11}{5}
\]
3. To divide by a fraction, multiply by its reciprocal:
\[
\frac{5}{6} \times \frac{5}{11}
\]
4. Multiply the numerators and the denominators:
\[
\frac{5 \times 5}{6 \times 11} = \frac{25}{66}
\]
So, \( \frac{5}{6} \div 2 \frac{1}{5} = \frac{25}{66} \).