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Simplify. Express your answer as a single fraction in simplest form. \newline1+v5w31 + \frac{v^5w}{3}\newline______

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline1+v5w31 + \frac{v^5w}{3}\newline______
  1. Identify common denominator: Identify the common denominator for the fractions in the expression.\newlineSince we have a whole number 11 and a fraction (v5w)/3(v^5w)/3, we need to express the whole number as a fraction with the same denominator as the given fraction to combine them. The common denominator is 33.
  2. Convert whole number to fraction: Convert the whole number to a fraction with the common denominator.\newlineWe multiply the whole number 11 by 33\frac{3}{3} to get a fraction with the denominator 33. This gives us 33\frac{3}{3}.
  3. Combine fractions: Combine the fractions.\newlineNow we add the two fractions with the common denominator:\newline(33)+(v5w3)=3+v5w3(\frac{3}{3}) + (\frac{v^5w}{3}) = \frac{3 + v^5w}{3}
  4. Check for further simplification: Check if the resulting fraction can be simplified further.\newlineThe numerator 3+v5w3 + v^5w does not have any common factors with the denominator 33, so the fraction is already in its simplest form.

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