What is (2x+3)/3+(x-4)/4 ?

The solution to (2x+3)/3+(x-4)/4 is (11x)/(12)

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simplify (2x+3)/3+(x-4)/4

simplify

\frac{2 x + 3}{3} + \frac{x - 4}{4}

\frac{11 x}{12}

Solution steps

\frac{2 x + 3}{3} + \frac{x - 4}{4}

Least Common Multiplier of

3, 4 : 12

Adjust Fractions based on the LCM

= \frac{( 2 x + 3 ) \cdot 4}{12} + \frac{( x - 4 ) \cdot 3}{12}

Apply the fraction rule:

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

= \frac{( 2 x + 3 ) \cdot 4 + ( x - 4 ) \cdot 3}{12}

Simplify

(2 x + 3) \cdot 4 + (x - 4) \cdot 3 : 11 x

= \frac{11 x}{12}

\frac{20}{48}

9 x^{7}

\frac{( x ^{5} - 1 )}{( x - 1 )}

(4 x + 6)^{2}