Add, Subtract & Simplify Complex Rational Expressions

What is the LCM? $\frac{\frac{1}{x+4}+\frac{1}{2x}}{\frac{1}{2x}}$  

•  $2\left(x+4\right)$  

•  $2x\left(x+4\right)$  

•  $2x^2\left(x+4\right)$  

•  $4x^2\left(x+4\right)$  

Tags

CCSS.HSA.APR.D.7

What is the LCM? $\frac{\frac{2}{x}-\frac{3}{x^2}}{\frac{x+6}{3x}}$  

•  $x$  

•  $3x$  

•  $x^2$  

•  $3x^2$  

Tags

CCSS.HSA.APR.D.6

What is the LCM? $\frac{\frac{2}{x}+\frac{3}{x-1}}{\frac{1}{x-1}}$  

•  $x$  

•  $x^2-1$  

•  $x\left(x-1\right)$  

•  $x\left(x-1\right)^2$  

Tags

CCSS.HSA.APR.D.7

What is the LCM? $\frac{3}{5x^2y^3}-\frac{x^2}{3xy^{ }}$  

•  $15xy$  

•  $5xy^4$  

•  $15x^2y^3$  

•  $15x^3y^4$  

Tags

CCSS.HSA.APR.D.7

What is the LCM? $\frac{3x}{x-5}-\frac{2}{x^2-10x+25}$  

•  $x-5$ 

•  $\left(x-5\right)\left(x+5\right)$  

•  $\left(x-5\right)^2$  

•  $\left(x-5\right)\left(x^2-10x+25\right)$  

Tags

CCSS.HSA.APR.D.7

 $\frac{u-v}{8v}+\frac{6u-3v}{8v}$  

Perform the indicated operation. Simplify the answer.

• $\frac{7u-2v}{8v}$

• $\frac{7u-4v}{8v}$

• $\frac{7u-v}{2}$

• $\frac{7u-4v}{16v^2}$

Tags

CCSS.HSA.APR.D.7

 $\frac{3}{5fg}+\frac{7g}{20f^3}$  

Perform the indicated operation.  Simplify the answer.

• a)      $\frac{3+7g}{5f}$  

• b)      $\frac{12f^2+7g^2}{20f^3g}$  

• c)      $\frac{12f^2+35g}{25f^4g}$  

• d)      $\frac{60f^3+35fg^2}{100f^3g}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{3}{x+7}-\frac{4}{x-8}$   

Perform the indicated operation. Simplify the answer. 

• a)      $\frac{-x-1}{\left(x+7\right)\left(x-8\right)}$  

• b)      $\frac{-x+7}{\left(x+7\right)\left(x-8\right)}$  

• c)      $\frac{-x+4}{\left(x+7\right)\left(x-8\right)}$  

• d)      $\frac{-x-52}{\left(x+7\right)\left(x-8\right)}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{6x}{2x+3}+\frac{x+1}{2x^2-7x-15}$  
Perform the indicated operation. Simplify the answer.

• a)      $\frac{6x^2+31x+1}{2x^2+13x+15}$  

• b)      $\frac{7x+1}{2x^2-5x-12}$  

• c)      $\frac{6x^2-29x+1}{2x^2-7x-15}$  

• d)      $\frac{3x^2-29x+1}{x^2-7x-15}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{9}{2a+8}-\frac{a-7}{3a^2+12a}$  
Perform the indicated operation. Simplify the answer.

• a)      $\frac{25a+14}{6a\left(a+4\right)}$  

• b)      $\frac{25a-7}{6\left(a+4\right)}$  

• c)      $\frac{25a-7}{6a\left(a+4\right)}$  

• d)      $\frac{25a+14}{6\left(a+4\right)}$  

Tags

CCSS.HSA.APR.D.7