Add the following and simplify the sum if possible.
$\frac{x+1}{3x}+\frac{2x-1}{3x}$

• A. $1$
• B. $-1$
• C. $x$
• D. $-x$

Answer: (A)

Verified step by step guidance

1. Identify that both fractions have the same denominator, which is \$3x$. When adding fractions with the same denominator, you can add the numerators directly while keeping the denominator the same.
2. Write the sum of the fractions as a single fraction: \(\frac{(x+1) + (2x - 1)}{3x}\).
3. Combine like terms in the numerator: add \(x\) and \$2x\(, and add \)1\( and \)-1$ separately to simplify the numerator.
4. Rewrite the fraction with the simplified numerator over the common denominator: \(\frac{3x + 0}{3x}\).
5. Recognize that the numerator and denominator share a common factor and simplify the fraction by dividing numerator and denominator by \$3x$ if possible.