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7x+3y65x+11y4\frac{7x + 3y}{6} - \frac{5x + 11y}{4}

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Q. 7x+3y65x+11y4\frac{7x + 3y}{6} - \frac{5x + 11y}{4}
  1. Find Common Denominator: First, find a common denominator for the fractions, which is 1212.7x+3y6×225x+11y4×33\frac{7x + 3y}{6} \times \frac{2}{2} – \frac{5x + 11y}{4} \times \frac{3}{3}
  2. Multiply Numerators: Now, multiply the numerators by the appropriate number to get the same denominator. \newline(14x+6y)/12(15x+33y)/12(14x + 6y)/12 – (15x + 33y)/12
  3. Subtract Numerators: Subtract the numerators while keeping the common denominator.\newline(14x+6y)(15x+33y)=(14x15x)+(6y33y)(14x + 6y) – (15x + 33y) = (14x - 15x) + (6y - 33y)
  4. Combine Like Terms: Simplify the expression by combining like terms.\newline(1x)+(27y)=x27y(-1x) + (-27y) = -x - 27y
  5. Write Final Answer: Write the final answer with the common denominator.x27y12\frac{-x - 27y}{12}

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