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Simplify. Express your answer as a single fraction in simplest form. \newlinerq−4q\frac{r}{q} - \frac{4}{q}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinerq−4q\frac{r}{q} - \frac{4}{q}
  1. Identify common denominator: Identify the common denominator for the fractions r/qr/q and 4/q4/q. Since both fractions already have the same denominator qq, the common denominator is qq.
  2. Combine numerators: Combine the numerators of the fractions while keeping the common denominator. This gives us (r−4)/q(r - 4)/q.
  3. Check for further simplification: Check if the numerator can be simplified further. Since rr is a variable and 44 is a constant, they cannot be combined any further. Therefore, the expression is already in its simplest form.

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