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Simplify. Express your answer as a single fraction in simplest form. \newline6vw5+10w5\frac{6vw}{5} + \frac{10w}{5}

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline6vw5+10w5\frac{6vw}{5} + \frac{10w}{5}
  1. Identify common denominator: Identify the common denominator for the fractions. In this case, both fractions already have the same denominator, which is 55.
  2. Add numerators: Since the denominators are the same, add the numerators directly. This gives us (6vw+10w)/5(6vw + 10w)/5.
  3. Factor out common factor: Factor out the common factor ww from the numerator. This gives us w(6v+10)5\frac{w(6v + 10)}{5}.
  4. Simplify expression: Simplify the expression inside the parentheses in the numerator by factoring out the common factor, which is 22. This gives us w(2(3v+5))5\frac{w(2(3v + 5))}{5}.
  5. Cancel common factors: Simplify the fraction by canceling out any common factors in the numerator and the denominator. In this case, there are no common factors to cancel out, so the expression remains w(2(3v+5))5.\frac{w(2(3v + 5))}{5}.

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