Combine like terms such that each variable only appears once.
$\frac{3}{4}x+\frac{1}{2}x$

• A. $\frac{4}{6}x$
• B. $\frac{3}{8}x$
• C. $\frac{5}{4}x$
• D. $\frac{1}{4}x$

Answer: (C)

Verified step by step guidance

1. Identify the like terms in the expression. Here, all terms have the variable \(x\), so they can be combined by adding their coefficients.
2. Write down the coefficients of each term as fractions: \(\frac{3}{4}\), \(\frac{1}{2}\), \(\frac{4}{6}\), and \(\frac{3}{8}\).
3. Find a common denominator for all the fractions to add them easily. The denominators are 4, 2, 6, and 8. Determine the least common denominator (LCD).
4. Convert each fraction to an equivalent fraction with the LCD as the denominator, then add all the numerators together while keeping the common denominator.
5. Simplify the resulting fraction if possible, and then write the combined term as the simplified fraction multiplied by \(x\).