Complex Fractions

 $\frac{\frac{x}{5}}{\frac{3}{5}}$  

•  $\frac{5x}{15}$  

•  $\frac{3x}{25}$  

•  $\frac{x}{3}$  

•  $\frac{3}{x}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{\frac{2x}{x+1}}{\frac{3}{x+1}}$  

•  $\frac{2x\left(x+1\right)}{3}$  

•  $\frac{2x}{3}$  

•  $\frac{3}{2x}$  

•  $\frac{2x\left(x+1\right)}{x+1}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{x+\frac{3}{x^2}}{1-\frac{2}{x}}$  

•  $\frac{x^3+3}{x^2-2x}$  

•  $\frac{x\left(x+3\right)}{x-2}$  

•  $\frac{x+3}{x-2}$  

•  $\frac{x\left(x^3+3\right)}{x-2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{\frac{4}{x}-x}{3+\frac{6}{x}}$  

•  $\frac{2-x}{3}$  

•  $\frac{4+x^2}{3x+6}$  

•  $\frac{4-x}{3\left(x+2\right)}$  

•  $\frac{3x}{4}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{\frac{x^2-x-2}{x+6}}{\frac{x^2-1}{x+6}}$  

•  $-x-3$  

•  $\frac{x^2-x-2}{x^2+1}$  

•  $\frac{x-2}{\left(x-1\right)\left(x+1\right)}$  

•  $\frac{x-2}{x-1}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{\frac{x}{25}+\frac{x}{5}}{\frac{5}{x}}$  

•  $\frac{25x^2}{400+4x}$  

•  $\frac{6x^2}{125}$  

•  $\frac{400x}{x^3-16}$  

•  $\frac{x^2+x^3}{625}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{\frac{x+1}{x+4}-\frac{1}{x}}{x+1}$  

•  $\frac{x^2+x}{4-x^2}$  

•  $\frac{x^3+5x^2+4x}{x^2+2x+4}$  

•  $\frac{x^2-4}{x^3+5x^2+4x}$  

•  $\frac{x^3+9x^2+24x+16}{2x^4+9x^3+16x^2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{\frac{20}{x}-\frac{25}{2x}}{\frac{5}{x^2}+\frac{1}{8}}$  

•  $\frac{16x-100}{25x}$  

•  $\frac{5x^2-1250}{2x^2+25x}$  

•  $\frac{60x}{40+x^2}$  

•  $-\frac{93x}{125x-800}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{\frac{4}{x-2}-\frac{x}{16}}{\frac{x^2}{2x-4}+\frac{x-2}{4}}$  

•  $\frac{x-2}{x-6}$  

•  $\frac{64-x^2+2x}{12x^2-16x+16}$  

•  $\frac{12x-32+2x^2}{66x-x^2}$  

•  $\frac{20x-24x-4x^2}{x+30}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

What is the LCD of the entire complex fraction?  $\frac{\frac{x}{9}-\frac{1}{3}}{\frac{x^2}{9}-1}$  

•  $9$  

•  $x^2$  

•  $27$  

•  $27x^2$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7