Combining Algebraic Fractions

Combine over a common denominator:

 $\frac{x}{2}+\frac{5}{2}$  

•  $\frac{5x}{2}$  

•  $\frac{x+5}{2}$  

•  $\frac{x+5}{4}$  

Tags

CCSS.HSA.APR.D.7

Combine over a common denominator:

 $\frac{x}{3}+\frac{x}{4}$  

•  $\frac{2x}{7}$  

•  $\frac{x^2}{7}$  

•  $\frac{7x}{12}$  

•  $\frac{7x}{24}$  

Tags

CCSS.HSA.APR.D.7

Combine over a common denominator:

 $\frac{2x}{3}-\frac{x}{4}$  

•  $\frac{5x}{12}$  

•  $\frac{x}{7}$  

•  $\frac{x}{12}$  

•  $\frac{11x}{12}$  

Tags

CCSS.HSA.APR.D.7

Combine over a common denominator:

 $\frac{2x}{9}+\frac{5x}{6}$  

•  $\frac{7x}{18}$  

•  $\frac{10x}{9}$  

•  $\frac{7x}{15}$  

•  $\frac{19x}{18}$  

Tags

CCSS.HSA.APR.D.7

Combine over a common denominator:

 $\frac{2x}{3}+\frac{4}{x}$  

•  $\frac{2x+4}{3x}$  

•  $\frac{2x^2+12}{3x}$  

•  $\frac{2x+12}{3x}$  

•  $\frac{14x}{3}$  

Combine over a common denominator:

 $\frac{1}{4x}+\frac{3}{2}$  

•  $\frac{4}{6x}$  

•  $\frac{4}{4x}$  

•  $\frac{1+6x}{4x}$  

•  $\frac{7x}{4x}$  

Combine over a common denominator:

 $\frac{5}{8x}-\frac{1}{2x}$  

•  $\frac{4}{6x}$  

•  $\frac{1}{8x}$  

•  $\frac{9}{8x}$  

•  $\frac{5-4x}{8x}$  

Combine over a common denominator:

 $\frac{x}{2}-\frac{x}{5}$  

Combine over a common denominator:

 $\frac{1}{2x}-\frac{2}{9x}$