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Simplify. Express your answer as a single fraction in simplest form. \newline45−5b\frac{4}{5} - \frac{5}{b}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline45−5b\frac{4}{5} - \frac{5}{b}
  1. Identify LCM of Denominators: Identify the least common multiple (LCM) of the denominators 55 and bb. Since 55 and bb are different and we have no information about bb, we assume bb is not a multiple of 55. Therefore, the LCM is 5b5b.
  2. Make Denominators the Same: Make the denominators the same by multiplying the first fraction by bb\frac{b}{b} and the second fraction by 55\frac{5}{5}. This gives us 4b5b−255b\frac{4b}{5b} - \frac{25}{5b}.
  3. Simplify the Expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (4b−25)/(5b)(4b - 25)/(5b).

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