What is expand (3(5x+2y))/(4x) ?

The solution to expand (3(5x+2y))/(4x) is 15/4+(3y)/(2x)

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expand (3(5x+2y))/(4x)

expand

\frac{3 ( 5 x + 2 y )}{4 x}

\frac{15}{4} + \frac{3 y}{2 x}

Solution steps

\frac{3 ( 5 x + 2 y )}{4 x}

Expand

3 (5 x + 2 y) : 15 x + 6 y

= \frac{15 x + 6 y}{4 x}

Apply the fraction rule:

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

\frac{15 x + 6 y}{4 x} = \frac{15 x}{4 x} + \frac{6 y}{4 x}

= \frac{15 x}{4 x} + \frac{6 y}{4 x}

Cancel

\frac{15 x}{4 x} : \frac{15}{4}

= \frac{15}{4} + \frac{6 y}{4 x}

Cancel

\frac{6 y}{4 x} : \frac{3 y}{2 x}

= \frac{15}{4} + \frac{3 y}{2 x}

e^{(y - x^{2})}

\frac{12 d - 32}{( d + 8 ) ( d - 8 )}

e^{- t (s - 2)} - e^{- t (s + 2)}

50 - 23 sin (π (t + 0.23))

\frac{d}{d t} ((s) (5 + 3 t - 2 t^{2}))

What is expand (3(5x+2y))/(4x) ?
The solution to expand (3(5x+2y))/(4x) is 15/4+(3y)/(2x)