What is (7/w+3/x)/(3/w-7/x) ?

The solution to (7/w+3/x)/(3/w-7/x) is (7x+3w)/(3x-7w)

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simplify (7/w+3/x)/(3/w-7/x)

simplify

\frac{\frac{7}{w} + \frac{3}{x}}{\frac{3}{w} - \frac{7}{x}}

\frac{7 x + 3 w}{3 x - 7 w}

Solution steps

\frac{\frac{7}{w} + \frac{3}{x}}{\frac{3}{w} - \frac{7}{x}}

Join

\frac{7}{w} + \frac{3}{x} : \frac{7 x + 3 w}{w x}

= \frac{\frac{7 x + 3 w}{w x}}{\frac{3}{w} - \frac{7}{x}}

Join

\frac{3}{w} - \frac{7}{x} : \frac{3 x - 7 w}{w x}

= \frac{\frac{7 x + 3 w}{w x}}{\frac{3 x - 7 w}{w x}}

Apply the fraction rule:

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

= \frac{( 7 x + 3 w ) w x}{w x ( 3 x - 7 w )}

Cancel

\frac{( 7 x + 3 w ) w x}{w x ( 3 x - 7 w )} : \frac{7 x + 3 w}{3 x - 7 w}

= \frac{7 x + 3 w}{3 x - 7 w}

(\frac{1}{3}) - 1

\frac{x}{2} - \frac{19}{6} \leq \frac{x}{3} + 1

\frac{x ^{2} - 4 x - 12}{x - 4} \leq 0

4 (2 x + 7) + 5 (2 x + 7)

x^{2} - 2 x - 8 = 0

What is (7/w+3/x)/(3/w-7/x) ?
The solution to (7/w+3/x)/(3/w-7/x) is (7x+3w)/(3x-7w)