-1 1/6 * -7

Answer 1

To calculate \(-1 \frac{1}{6} \times -7\), we can follow these steps:

1. Convert the mixed number to an improper fraction: \[ -1 \frac{1}{6} = -\left(1 \times 6 + 1\right)/6 = -\frac{7}{6} \]

2. Now, multiply by \(-7\): \[ -\frac{7}{6} \times -7 = \frac{7 \times 7}{6} = \frac{49}{6} \]

Thus, \(-1 \frac{1}{6} \times -7 = \frac{49}{6}\).

If you prefer the mixed number format: \[ \frac{49}{6} = 8 \frac{1}{6} \]

So, the final answer is: \[ \frac{49}{6} \quad \text{or} \quad 8 \frac{1}{6} \]