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Simplify. Express your answer as a single fraction in simplest form.\newline5b4−3ab\frac{5b}{4} - \frac{3}{ab}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form.\newline5b4−3ab\frac{5b}{4} - \frac{3}{ab}
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators 44 and abab. Since 44 and abab have no common factors other than 11, the LCM is simply 4ab4ab.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by abab and the second fraction by 44. This gives us (5b×ab)/(4×ab)−(3×4)/(ab×4)(5b \times ab)/(4 \times ab) - (3 \times 4)/(ab \times 4).
  3. Perform multiplications in numerators: Perform the multiplications in the numerators. This results in (5ab4ab)−(124ab)(\frac{5ab}{4ab}) - (\frac{12}{4ab}).
  4. Combine numerators: Since the denominators are now the same, we can combine the numerators. The combined fraction is (5abb−124ab)(\frac{5abb - 12}{4ab}).
  5. Simplify the expression: Simplify the expression by factoring out common factors if possible. In this case, there are no common factors to factor out, so the expression is already in its simplest form.

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