What is (x+3)/3+(3x-2)/(12) ?

The solution to (x+3)/3+(3x-2)/(12) is (7x+10)/(12)

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simplify (x+3)/3+(3x-2)/(12)

simplify

\frac{x + 3}{3} + \frac{3 x - 2}{12}

\frac{7 x + 10}{12}

Solution steps

\frac{x + 3}{3} + \frac{3 x - 2}{12}

Least Common Multiplier of

3, 12 : 12

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x + 3) \cdot 4 + 3 x - 2 : 7 x + 10

= \frac{7 x + 10}{12}

(9 x + 18) - (- 7 x + 28)

\frac{3}{2} - \frac{1}{5}

(7 x^{2} + 2 x + 4) (2 x + 5)

5 x + 6 x

x^{1} - x^{2}

What is (x+3)/3+(3x-2)/(12) ?
The solution to (x+3)/3+(3x-2)/(12) is (7x+10)/(12)