Question

-2 1/5 *-8 as a simplified mixed number

Answer 1

To multiply \(-2 \frac{1}{5}\) by \(-8\), follow these steps:

1. **Convert the mixed number to an improper fraction:**

\(-2 \frac{1}{5} = -\left(2 \times 5 + 1\right) / 5 = -\frac{11}{5}\)

2. **Set up the multiplication:**

Now multiply by \(-8\):

\[
-\frac{11}{5} \times -8
\]

3. **Multiply the numerators and denominators:**

Multiplying two negative numbers gives a positive result:

\[
= \frac{11 \times 8}{5} = \frac{88}{5}
\]

4. **Convert the improper fraction to a mixed number:**

Divide the numerator by the denominator:

\[
88 \div 5 = 17 \quad \text{remainder} \quad 3
\]

So, \(88\) can be expressed as:
\[
17 \frac{3}{5}
\]

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