Multiply Fraction 3/10 by a Factor of 5: Step-by-Step Solution

To solve the problem of increasing the fraction $\frac{3}{10}$ by a factor of 5, follow these steps:

• Step 1: Multiply the numerator by 5.
  The original numerator is 3, so $3 \times 5 = 15$.
• Step 2: Multiply the denominator by 5.
  The original denominator is 10, so $10 \times 5 = 50$.
• Step 3: Write the new fraction.
  The resulting fraction after applying the factor is $\frac{15}{50}$.

Thus, when we increase the fraction $\frac{3}{10}$ by a factor of 5, we get $\frac{15}{50}$.

Therefore, the correct answer is $\frac{15}{50}$.