What is (x-y)/(12)+(2x+y)/(15)+(y-4x)/(30) ?

The solution to (x-y)/(12)+(2x+y)/(15)+(y-4x)/(30) is (5x+y)/(60)

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simplify (x-y)/(12)+(2x+y)/(15)+(y-4x)/(30)

simplify

\frac{x - y}{12} + \frac{2 x + y}{15} + \frac{y - 4 x}{30}

\frac{5 x + y}{60}

Solution steps

\frac{x - y}{12} + \frac{2 x + y}{15} + \frac{y - 4 x}{30}

Least Common Multiplier of

12, 15, 30 : 60

Adjust Fractions based on the LCM

= \frac{( x - y ) \cdot 5}{60} + \frac{( 2 x + y ) \cdot 4}{60} + \frac{( y - 4 x ) \cdot 2}{60}

Apply the fraction rule:

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

= \frac{( x - y ) \cdot 5 + ( 2 x + y ) \cdot 4 + ( y - 4 x ) \cdot 2}{60}

Simplify

(x - y) \cdot 5 + (2 x + y) \cdot 4 + (y - 4 x) \cdot 2 : 5 x + y

= \frac{5 x + y}{60}

(2 + n)^{2}

\frac{x}{x ^{2} + 9 x + 20} - \frac{4}{x ^{2} + 7 x + 12}

(x - 1) (x^{2} - 1)

\frac{16}{60}

\frac{1}{1 + tan ^{2} ( x )} + \frac{1}{1 + cot ^{2} ( x )}

What is (x-y)/(12)+(2x+y)/(15)+(y-4x)/(30) ?
The solution to (x-y)/(12)+(2x+y)/(15)+(y-4x)/(30) is (5x+y)/(60)