What is (x+4)/2+(x+1)/3 ?

The solution to (x+4)/2+(x+1)/3 is (5x+14)/6

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simplify (x+4)/2+(x+1)/3

simplify

\frac{x + 4}{2} + \frac{x + 1}{3}

\frac{5 x + 14}{6}

Solution steps

\frac{x + 4}{2} + \frac{x + 1}{3}

Least Common Multiplier of

2, 3 : 6

Adjust Fractions based on the LCM

= \frac{( x + 4 ) \cdot 3}{6} + \frac{( x + 1 ) \cdot 2}{6}

Apply the fraction rule:

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

= \frac{( x + 4 ) \cdot 3 + ( x + 1 ) \cdot 2}{6}

Simplify

(x + 4) \cdot 3 + (x + 1) \cdot 2 : 5 x + 14

= \frac{5 x + 14}{6}

\frac{\frac{2 a + 1}{10 a - 5}}{\frac{10 a}{4 a ^{2} - 1}}

- x (5 x - 4)

15 \cdot 20

\frac{1}{1 + x ^{2}} d x