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Simplify. Express your answer as a single fraction in simplest form. \newline5v−25\frac{5}{v} - \frac{2}{5}

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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. \newline5v−25\frac{5}{v} - \frac{2}{5}
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators vv and 55. Since vv is a variable and 55 is a prime number, the LCM is simply 5v5v.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by 55 and the second fraction by vv. This gives us (5×5)/(5v)−(2×v)/(5v)(5\times 5)/(5v) - (2\times v)/(5v).
  3. Perform numerator multiplication: Perform the multiplication in the numerators. This results in 255v−2v5v\frac{25}{5v} - \frac{2v}{5v}.
  4. Simplify the expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (25−2v)/(5v)(25 - 2v)/(5v).

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