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Simplify. Express your answer as a single fraction in simplest form. \newline54−2w5x\frac{5}{4} - \frac{2}{w^5x}

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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. \newline54−2w5x\frac{5}{4} - \frac{2}{w^5x}
  1. Identify LCM: Identify the least common multiple (LCM) of the denominators 44 and w5xw^5x. Since 44 and w5xw^5x have no common factors other than 11, the LCM is simply their product, which is 4w5x4w^5x.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by w5x/w5xw^5x/w^5x and the second fraction by 4/44/4. This gives us (5w5x)/(4w5x)−(8)/(4w5x)(5w^5x)/(4w^5x) - (8)/(4w^5x).
  3. Simplify expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (5w5x−84w5x)(\frac{5w^5x - 8}{4w^5x}).

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