Question 16

Explanation

Given the expression

Finding the Common Denominator

To simplify this expression, we need to find the least common multiple (LCM) of $3$, $4$, and $6$.

Prime factorization:

• $3 = 3$
• $4 = 2^2$
• $6 = 2 \times 3$

The LCM of $3$, $4$, and $6$ is $2^2 \times 3 = 12$.

Equalizing Denominators

Convert each fraction to have denominator $12$:

Simplifying the Expression

Substitute into the original expression:

Since all fractions have the same denominator, we can combine the numerators:

Simplify the numerator by combining like terms:

Therefore, the result of

is $\frac{4x + y}{12}$.