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Simplify. Express your answer as a single fraction in simplest form. \newline3y54+y4\frac{3y^5}{4} + \frac{y}{4}

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Add and subtract rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline3y54+y4\frac{3y^5}{4} + \frac{y}{4}
  1. Identify Denominator: Identify that both terms have the same denominator, which is 44. This means we can combine the numerators directly without finding a least common multiple (LCM).
  2. Add Numerators: Add the numerators while keeping the common denominator. This gives us (3y5+y)/4(3y^5 + y)/4.
  3. Check Simplification: Check if the numerator can be simplified further. Since there are no common factors between 3y53y^5 and yy other than 11, the numerator is already in its simplest form.
  4. Write Final Answer: Write down the final simplified expression. The final answer is (3y5+y4)(\frac{3y^5 + y}{4}).

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