Question

Multiply -1 1/6
by -7. Write your product as a mixed number. (1 point)
Responses

7 1/6
71 sixth

-8 1/6

8 1/6


-7 1/6

Answer 1

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

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

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

3. Convert \(\frac{49}{6}\) back to a mixed number:
- Divide 49 by 6, which gives you 8 as the whole number, with a remainder of 1.
- Thus, \(\frac{49}{6} = 8 \frac{1}{6}\).

So the product of \(-1 \frac{1}{6}\) and \(-7\) is:

\[
\boxed{8 \frac{1}{6}}
\]