Multiply Fraction 2/5 by Factor of 8: Step-by-Step Solution

To solve the problem of increasing the fraction $\frac{2}{5}$ by a factor of 8, we follow these steps:

• Multiply the numerator of the fraction by the factor of 8.
• Multiply the denominator of the fraction by the same factor of 8 to preserve the value relation.
• Check the result against the options provided, especially since this is a multiple-choice question.

Following these steps:

Step 1: Multiply the numerator:

The numerator is 2. Multiplying 2 by 8 gives $2 \times 8 = 16$.

Step 2: Multiply the denominator:

The denominator is 5. Multiplying 5 by 8 gives $5 \times 8 = 40$.

Thus, the fraction becomes $\frac{16}{40}$ after being increased by a factor of 8.

The correct answer among the provided choices is:

$\frac{16}{40}$