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Simplify. Express your answer as a single fraction in simplest form. \newline52+v5\frac{5}{2} + \frac{v}{5}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline52+v5\frac{5}{2} + \frac{v}{5}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 22 and 55. The LCM is 1010.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 55 and the second fraction by 22. This gives us (52)×(55)+(v5)×(22)(\frac{5}{2}) \times (\frac{5}{5}) + (\frac{v}{5}) \times (\frac{2}{2}), which simplifies to 2510+2v10\frac{25}{10} + \frac{2v}{10}.
  3. Simplify expression: Simplify the expression by adding the numerators since the denominators are the same. The final simplified expression is (25+2v)/10(25 + 2v)/10.

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