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Simplify. Express your answer as a single fraction in simplest form. \newline10y53+y3\frac{10y^5}{3} + \frac{y}{3}

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline10y53+y3\frac{10y^5}{3} + \frac{y}{3}
  1. Identify common denominator: Identify the common denominator in the given fractions. The fractions 10y53\frac{10y^5}{3} and y3\frac{y}{3} already have the same denominator, which is 33.
  2. Add numerators: Since the denominators are the same, add the numerators directly. This gives us (10y5+y)/3(10y^5 + y)/3.
  3. Check for simplification: Check if the numerator can be simplified further. In this case, there are no common factors between 10y510y^5 and yy, other than yy itself, and they are not like terms, so the numerator cannot be simplified further.
  4. Write final expression: Write down the final simplified expression. The final answer is (10y5+y)/3(10y^5 + y)/3.

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