What is (x+(4x)/y)/(7/(3x)) ?

The solution to (x+(4x)/y)/(7/(3x)) is (3x(xy+4x))/(7y)

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simplify (x+(4x)/y)/(7/(3x))

simplify

\frac{x + \frac{4 x}{y}}{\frac{7}{3 x}}

\frac{3 x ( x y + 4 x )}{7 y}

Solution steps

\frac{x + \frac{4 x}{y}}{\frac{7}{3 x}}

Apply the fraction rule:

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

= \frac{( x + \frac{4 x}{y} ) \cdot 3 x}{7}

Simplify

(x + \frac{4 x}{y}) \cdot 3 x : \frac{3 ( x y + 4 x ) x}{y}

= \frac{\frac{3 ( x y + 4 x ) x}{y}}{7}

Apply the fraction rule:

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

= \frac{3 ( x y + 4 x ) x}{y \cdot 7}

= \frac{3 x ( x y + 4 x )}{7 y}

\frac{5}{7} - \frac{2}{3}

- 9 \cdot 7

8^{4}

- 16 (\frac{1}{2})^{2} + 16 (\frac{1}{2}) + 480

∣ u ∣ - 20 = - 12

What is (x+(4x)/y)/(7/(3x)) ?
The solution to (x+(4x)/y)/(7/(3x)) is (3x(xy+4x))/(7y)