Advanced Math practice question

Answer: A. (2x + 1) / (x(x + 1))

Use the common denominator x(x + 1). Rewrite each fraction: 1/x = (x + 1)/(x(x + 1)) and 1/(x + 1) = x/(x(x + 1)). Add the numerators: (x + 1) + x = 2x + 1, over x(x + 1).

Why the other answers are wrong

B. 2 / (2x + 1)

You added the numerators together and the denominators together. Fractions can't be added that way — they need a common denominator first.

C. 1 / (x(x + 1))

The denominator is right but the numerators were multiplied (1 × 1) instead of added after being rewritten: (x + 1) + x = 2x + 1.

D. (2x + 1) / (x + 1)

The numerator is right, but the common denominator is the PRODUCT x(x + 1), not just x + 1. The first fraction's x is missing from the bottom.

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