Question

Multiply -2 ⅕ by -8. Write as simplifed mixed number

Answer 1

To multiply \(-2 \frac{1}{5}\) by \(-8\), we first convert the mixed number to an improper fraction.

1. Convert \(-2 \frac{1}{5}\) to an improper fraction:
\[
-2 \frac{1}{5} = -\left(2 \times 5 + 1\right)/5 = -\left(10 + 1\right)/5 = -\frac{11}{5}
\]

2. Now, multiply \(-\frac{11}{5}\) by \(-8\):
\[
-\frac{11}{5} \times -8 = \frac{11 \times 8}{5} = \frac{88}{5}
\]

3. Next, convert \(\frac{88}{5}\) to a mixed number:
- Divide \(88\) by \(5\):
\[
88 \div 5 = 17 \quad \text{remainder } 3
\]
So, \(\frac{88}{5} = 17 \frac{3}{5}\).

Therefore, \(-2 \frac{1}{5} \times -8 = 17 \frac{3}{5}\).