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Simplify. Express your answer as a single fraction in simplest form. \newline4p2q5pq+5pq\frac{4p^2q^5}{pq} + \frac{5}{pq}

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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. \newline4p2q5pq+5pq\frac{4p^2q^5}{pq} + \frac{5}{pq}
  1. Combine terms: Combine the terms over a common denominator.\newlineSince both terms have the same denominator, we can combine them directly.\newline4p2q5/pq+5/pq4p^2q^5/pq + 5/pq\newline= (4p2q5+5)/pq(4p^2q^5 + 5)/pq
  2. Simplify numerator: Simplify the numerator.\newlineWe can't simplify the numerator further because 4p2q54p^2q^5 and 55 do not have common factors.\newlineSo the expression remains (4p2q5+5)/pq(4p^2q^5 + 5)/pq.
  3. Simplify denominator: Simplify the denominator.\newlineWe notice that pqpq is already in its simplest form and cannot be simplified further.\newlineSo the final expression is (4p2q5+5)/pq(4p^2q^5 + 5)/pq.

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