Questions: 1/3 x + 1/11(x + 3)

1/3 x + 1/11(x + 3)
Transcript text: $\frac{1}{3} x+\frac{1}{11}(x+3)$
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Solution

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Simplify the expression \( \frac{1}{3} x + \frac{1}{11}(x + 3) \).

Identify the common denominator.

The denominators are 3 and 11. The least common multiple (LCM) is 33.

Rewrite each fraction with the common denominator.

The expression becomes \( \frac{11}{33} x + \frac{3}{33}(x + 3) \).

Combine the fractions.

This results in \( \frac{11x + 3(x + 3)}{33} = \frac{11x + 3x + 9}{33} = \frac{14x + 9}{33} \).

The simplified expression is \( \frac{14x + 9}{33} \).

The final answer is \\(\boxed{\frac{14x + 9}{33}}\\).

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