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Simplify. Express your answer as a single fraction in simplest form. \newline7v5+5v2\frac{7v}{5} + \frac{5v}{2}

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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. \newline7v5+5v2\frac{7v}{5} + \frac{5v}{2}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 55 and 22. The LCM is 1010.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 22 and the second fraction by 55. This gives us 14v10+25v10\frac{14v}{10} + \frac{25v}{10}.
  3. Simplify expression: Simplify the expression by adding the numerators since the denominators are the same. The final simplified expression is (14v+25v)/10(14v + 25v)/10.
  4. Combine like terms: Combine the like terms in the numerator. This gives us (39v10)(\frac{39v}{10}).

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