Multiply 8/11 by a Factor of 6: Fraction Scaling Problem

To solve this problem, follow these steps:

• Step 1: Identify the given fraction as $\frac{8}{11}$.
• Step 2: Determine the factor to increase by, which is 6.
• Step 3: Multiply the numerator by the factor: $8 \times 6 = 48$.
• Step 4: Multiply the denominator by the factor: $11 \times 6 = 66$.

Now, let's perform the calculation to expand the fraction:

Starting with the original fraction:

$\frac{8}{11}$

We need to multiply both the numerator and the denominator by the factor of 6:

The new numerator is:

$8 \times 6 = 48$

The new denominator is:

$11 \times 6 = 66$

Thus, the fraction increased by a factor of 6 is:

$\frac{48}{66}$

Therefore, the solution to the problem is $\frac{48}{66}$.