Question

Multiply −1 1/6
by 7. Write the answer as a mixed number.

Answer 1

Just the answer

Answer 2

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

The mixed number \(-1 \frac{1}{6}\) can be converted as follows:

\[
-1 \frac{1}{6} = -\left(1 \times 6 + 1\right) / 6 = -\left(6 + 1\right)/6 = -7/6
\]

Now we multiply this improper fraction by \(7\):

\[
-\frac{7}{6} \times 7 = -\frac{7 \times 7}{6} = -\frac{49}{6}
\]

Next, we convert \(-\frac{49}{6}\) back to a mixed number. First, we divide \(49\) by \(6\):

\[
49 \div 6 = 8 \quad \text{(with a remainder of } 1\text{)}
\]

So, we can express this as:

\[
\frac{49}{6} = 8 \frac{1}{6}
\]

Since our original value was negative, the mixed number will also be negative:

\[
-\frac{49}{6} = -8 \frac{1}{6}
\]

Thus, the answer is:

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