Simplify the complex fraction 4 x 3 1 x 3

Asked by maham237 @ in Mathematics viewed by 316 People

Simplify the complex fraction: 4/(x+3)/(1/x+3)
A. 12x+4/x^2+3x.
B. 4x/3x+9.
C. 4x/3x^2+10x+3.
D. None of these

Answered by maham237 @


The answer is C. 4x/3x^2+10x+3

\frac{ \frac{4}{x+3}}{ \frac{1}{x} +3} = \frac{ \frac{4}{x+3}}{ \frac{1}{x}+ \frac{3x}{x}} =\frac{ \frac{4}{x+3}}{ \frac{1+3x}{x} } = \frac{4}{x+3}* \frac{x}{1+3x}= \frac{4x}{(x+3)(1+3x)} = \frac{4x}{x+3 x^{2} +3+9x} = \frac{4x}{3 x^{2} +10x+3}

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