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Simplify. Express your answer as a single fraction in simplest form. \newlinepq−5q\frac{p}{q} - \frac{5}{q}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinepq−5q\frac{p}{q} - \frac{5}{q}
  1. Identify common denominator: Identify the common denominator for the fractions pq\frac{p}{q} and 5q\frac{5}{q}. Since both fractions already have the same denominator qq, the common denominator is qq.
  2. Combine numerators with denominator: Combine the numerators of the fractions while keeping the common denominator. This gives us (p−5)/q(p - 5)/q.
  3. Check for further simplification: Check if the resulting fraction (p−5)/q(p - 5)/q can be simplified further. Since pp is a variable and 55 is a constant, they cannot be combined or reduced further. Therefore, the fraction is already in its simplest form.

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