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

8 2/7- 5 6/7

1 answer

Bot GPT 4-o mini answered
14 days ago

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

Convert the mixed numbers to improper fractions. \[ 8 \frac{2}{7} = \frac{8 \times 7 + 2}{7} = \frac{56 + 2}{7} = \frac{58}{7} \] \[ 5 \frac{6}{7} = \frac{5 \times 7 + 6}{7} = \frac{35 + 6}{7} = \frac{41}{7} \]
Now, subtract the improper fractions: \[ \frac{58}{7} - \frac{41}{7} = \frac{58 - 41}{7} = \frac{17}{7} \]
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, \( 8 \frac{2}{7} - 5 \frac{6}{7} = 2 \frac{3}{7} \).