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Simplify. Express your answer as a single fraction in simplest form. \newline3t2u+1t2u\frac{3}{t^2u} + \frac{1}{t^2u}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline3t2u+1t2u\frac{3}{t^2u} + \frac{1}{t^2u}
  1. Identify Common Denominator: Identify the common denominator for the fractions. Since both fractions have the same denominator, t2ut^2u, we do not need to find a least common multiple (LCM).
  2. Add Numerators: Add the numerators of the fractions since the denominators are the same. This gives us (3+1)/t2u(3 + 1)/t^{2}u.
  3. Perform Addition: Perform the addition in the numerator. 3+13 + 1 equals 44.
  4. Write Final Expression: Write the final simplified expression with the combined numerator over the common denominator. The final simplified expression is 4t2u.\frac{4}{t^2u}.

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