Multiply 2/3 by a Factor of 6: Step-by-Step Fraction Scaling

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

• Step 1: Multiply the numerator by 6.
• Step 2: Multiply the denominator by 6.
• Step 3: Write down the result as a new fraction.

Now, let's work through each step:
Step 1: The original fraction is $\frac{2}{3}$. Multiply the numerator 2 by 6, which gives $2 \times 6 = 12$.
Step 2: Multiply the denominator 3 by 6, which gives $3 \times 6 = 18$.
Step 3: The resulting fraction after multiplying both numerator and denominator by 6 is $\frac{12}{18}$.

Therefore, the solution to the problem is $\frac{12}{18}$.