Multiply 6/10 by a Factor of 3: Fraction Scaling Problem

To solve this problem, we'll follow these steps:

• Step 1: Identify the original fraction.
• Step 2: Multiply the numerator by the factor provided, keeping the denominator the same.
• Step 3: Compute the computation to give the expanded fraction.

Now, let's work through each step:
Step 1: The original fraction given is $\frac{6}{10}$.
Step 2: Multiply the numerator $6$ by the factor $3$, which yields $6 \times 3 = 18$. The denominator remains $10$, forming the new fraction $\frac{18}{10}$.
Step 3: To express the fraction with a factor of 3 for both parts, multiply both numerator and denominator by the same $3$ to illustrate the transformation properly: $\frac{18}{10 \times 3} = \frac{18}{30}$.

Therefore, the solution to the problem is $\frac{18}{30}$.