Question

Multiply & Divide Rational Numbers Unit Test
1. Multiply -1 1/6 by 7. Write your answer as a mixed number.

Answer 1

To multiply the mixed number \(-1 \frac{1}{6}\) by \(7\), first convert the mixed number into 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. Next, multiply \(-\frac{7}{6}\) by \(7\):
\[
-\frac{7}{6} \times 7 = -\frac{7 \times 7}{6} = -\frac{49}{6}
\]

3. Now, convert \(-\frac{49}{6}\) back to a mixed number:
\[
-\frac{49}{6} = -8 \frac{1}{6}
\]
(since \(49 \div 6 = 8\) with a remainder of \(1\))

Thus, the answer is:
\[
\boxed{-8 \frac{1}{6}}
\]