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Simplify. Express your answer as a single fraction in simplest form. \newline15w1 - \frac{5}{w}

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline15w1 - \frac{5}{w}
  1. Find Common Denominator: We have the expression 15w1 - \frac{5}{w}. To combine these terms into a single fraction, we need to have a common denominator. Since 11 can be written as ww\frac{w}{w}, we will use ww as the common denominator.
  2. Rewrite Terms: Rewrite 11 as w/ww/w so that both terms have the same denominator.\newline15w=(ww)5w1 - \frac{5}{w} = \left(\frac{w}{w}\right) - \frac{5}{w}
  3. Combine Numerators: Now that we have a common denominator, we can combine the numerators.\newline(ww)5w=w5w(\frac{w}{w}) - \frac{5}{w} = \frac{w - 5}{w}
  4. Simplify Fraction: The expression (w5)/w(w - 5)/w is already in simplest form because the numerator and the denominator have no common factors other than 11.

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