Questions: Identify as an expression or an equation. Then perform the operation or solve the equation. 3/5 x + 1/6 x Select the correct choice below and fill in the answer box within your choice. A. It is an equation, and the solution set is . (Simplify your answer. Type an integer or a simplified fraction.) B. It is an expression, and its simplified form is . (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Solution Steps

The given problem is \(\frac{3}{5} x + \frac{1}{6} x\). It does not contain an equality sign, so it is an expression, not an equation.

To simplify \(\frac{3}{5} x + \frac{1}{6} x\), first find a common denominator for the fractions. The least common denominator (LCD) of 5 and 6 is 30.

Rewrite each term with the LCD: \[ \frac{3}{5} x = \frac{3 \cdot 6}{5 \cdot 6} x = \frac{18}{30} x \] \[ \frac{1}{6} x = \frac{1 \cdot 5}{6 \cdot 5} x = \frac{5}{30} x \]

Now, add the two terms: \[ \frac{18}{30} x + \frac{5}{30} x = \frac{23}{30} x \]

Since the problem is an expression, the correct choice is B. The simplified form of the expression is \(\frac{23}{30} x\).

Final Answer