What is (4/(x+3))/(1/x+3) ?

The solution to (4/(x+3))/(1/x+3) is (4x)/((x+3)(3x+1))

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simplify (4/(x+3))/(1/x+3)

simplify

\frac{\frac{4}{x + 3}}{\frac{1}{x} + 3}

\frac{4 x}{( x + 3 ) ( 3 x + 1 )}

Solution steps

\frac{\frac{4}{x + 3}}{\frac{1}{x} + 3}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{4}{( x + 3 ) ( \frac{1}{x} + 3 )}

Simplify

(x + 3) (\frac{1}{x} + 3) : \frac{( x + 3 ) ( 3 x + 1 )}{x}

= \frac{4}{\frac{( x + 3 ) ( 3 x + 1 )}{x}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{4 x}{( x + 3 ) ( 3 x + 1 )}

\frac{( x ^{3} ) ( x ^{4} )}{x ^{15}}

(5 x - 2) (x + 3)

(\frac{4}{5}) \cdot 16384

\frac{\frac{4 f ^{2}}{3}}{\frac{1}{4 f}}

- 4 j^{3} + \frac{j k ^{2}}{- 2 - k}

What is (4/(x+3))/(1/x+3) ?
The solution to (4/(x+3))/(1/x+3) is (4x)/((x+3)(3x+1))