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Simplify. Express your answer as a single fraction in simplest form. \newlineab246b\frac{ab^2}{4} - 6b

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Q. Simplify. Express your answer as a single fraction in simplest form. \newlineab246b\frac{ab^2}{4} - 6b
  1. Find Common Denominator: First, we need to find a common denominator to combine the terms into a single fraction. The first term has a denominator of 44, and the second term, which is not a fraction, can be thought of as having a denominator of 11. To combine these, we can write the second term with a denominator of 44 by multiplying both the numerator and the denominator by 44.
  2. Rewrite with Common Denominator: Now, we rewrite the expression with a common denominator:\newline(ab24)(6b×44)(\frac{a b^{2}}{4}) - (\frac{6b \times 4}{4})\newlineThis gives us:\newline(ab24)(24b4)(\frac{a b^{2}}{4}) - (\frac{24b}{4})
  3. Combine Fractions: Next, we combine the fractions by subtracting the numerators and keeping the common denominator: (ab224b)/4(a b^{2} - 24 b) / 4
  4. Factor Out Common Factor: We check if the numerator can be simplified further. In this case, there is a common factor of bb that can be factored out: b(ab24)4\frac{b(ab - 24)}{4}
  5. Final Simplified Form: Since there are no common factors between the numerator and the denominator that can be canceled out, this is the simplest form of the fraction.

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