Multiply. Write the answer as a mixed number.

Question

−1 1/3 ×7
−8 3/2
​

−9 2/3
​

−9 1/3
​

-8

Answer 1

To multiply the mixed number \(-1 \frac{1}{3}\) by 7, we first convert the mixed number to an improper fraction.

1. Convert \(-1 \frac{1}{3}\) to an improper fraction: \[ -1 \frac{1}{3} = -\left(1 \times 3 + 1\right)/3 = -\frac{4}{3} \]

2. Now, multiply \(-\frac{4}{3}\) by 7: \[ -\frac{4}{3} \times 7 = -\frac{4 \times 7}{3} = -\frac{28}{3} \]

3. Now convert \(-\frac{28}{3}\) back to a mixed number: \[ -\frac{28}{3} = -9 \frac{1}{3} \]

The answer is: \[ \boxed{-9 \frac{1}{3}} \]