Add or subtract as indicated.
-$\frac{1}{6 x^{3} y^{2}}-\frac{11}{2 x y}$

A) $\frac{1-33 x^{2} y}{6 x^{3} y^{2}}$

B) $\frac{6-33 x^{3} y}{6 x^{4} y^{3}}$

C) $\frac{4-33 x^{4}}{6 x^{3} y}$

D) $\frac{1-33 x}{6 x^{3} y^{2}}$

Question

Add or subtract as indicated.
-$\frac{1}{6 x^{3} y^{2}}-\frac{11}{2 x y}$

A) $\frac{1-33 x^{2} y}{6 x^{3} y^{2}}$

B) $\frac{6-33 x^{3} y}{6 x^{4} y^{3}}$

C) $\frac{4-33 x^{4}}{6 x^{3} y}$

D) $\frac{1-33 x}{6 x^{3} y^{2}}$

Quizplus · Accepted Answer

To add or subtract fractions, you need a common denominator. Here, the least common denominator is $6x^3y^2$. Convert the second fraction to have this denominator by multiplying its numerator and denominator by $3x^2y$, resulting in $\frac{1}{6x^3y^2} - \frac{33x^2y}{6x^3y^2}$, which simplifies to $\frac{1-33x^2y}{6x^3y^2}$.

Add or Subtract as Indicated 16x3y2−112xy\frac{1}{6 x^{3} y^{2}}-\frac{11}{2 x y}6x3y21​−2xy11​ A) 1−33x2y6x3y2\frac{1-33 x^{2} y}{6 x^{3} y^{2}}6x3y21−33x2y​

Add or Subtract as Indicated $\frac{1}{6 x^{3} y^{2}}-\frac{11}{2 x y}$ A) $\frac{1-33 x^{2} y}{6 x^{3} y^{2}}$