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Simplify. Express your answer as a single fraction in simplest form. \newline47w−5v\frac{4}{7w} - \frac{5}{v}

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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. \newline47w−5v\frac{4}{7w} - \frac{5}{v}
  1. Find LCM of Denominators: Find the least common multiple (LCM) of the denominators 7w7w and vv. Since 7w7w and vv are unlike terms and do not share any common factors other than 11, the LCM is simply their product, 7wv7wv.
  2. Make Denominators Same: Make the denominators the same by multiplying the first fraction by v/vv/v and the second fraction by 7w/7w7w/7w. This gives us (4v)/(7wv)−(35w)/(7wv)(4v)/(7wv) - (35w)/(7wv).
  3. Simplify the Expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (4v−35w)/(7wv)(4v - 35w)/(7wv).

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