Question

8 2/7- 5 6/7

Answer 1

To subtract the mixed numbers \( 8 \frac{2}{7} \) and \( 5 \frac{6}{7} \), follow these steps:

1. Convert the mixed numbers to improper fractions.
\[
8 \frac{2}{7} = \frac{8 \times 7 + 2}{7} = \frac{56 + 2}{7} = \frac{58}{7}
\]
\[
5 \frac{6}{7} = \frac{5 \times 7 + 6}{7} = \frac{35 + 6}{7} = \frac{41}{7}
\]

2. Now, subtract the improper fractions:
\[
\frac{58}{7} - \frac{41}{7} = \frac{58 - 41}{7} = \frac{17}{7}
\]

3. Convert \( \frac{17}{7} \) back to a mixed number:
\[
17 \div 7 = 2 \quad \text{(with a remainder of 3)}
\]
So,
\[
\frac{17}{7} = 2 \frac{3}{7}
\]

Thus, \( 8 \frac{2}{7} - 5 \frac{6}{7} = 2 \frac{3}{7} \).