Question

-1 1/6 x 7= a mixed number

Answer 1

To multiply \(-1 \frac{1}{6}\) by \(7\), we first convert the mixed number to an improper fraction.

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

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

3. Convert \(-\frac{49}{6}\) to a mixed number:
- Divide \(49\) by \(6\):
- \(49 \div 6 = 8\) remainder \(1\), so it can be expressed as \(8\) with a remainder of \(1\).
- Therefore, the mixed number is:
\[
8 \frac{1}{6}
\]
- Since it’s negative:
\[
-8 \frac{1}{6}
\]

So, \(-1 \frac{1}{6} \times 7 = -8 \frac{1}{6}\).