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

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

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

simplify

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

\frac{5 x - 3}{6}

Solution steps

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

Least Common Multiplier of

2, 3 : 6

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x - 1) \cdot 3 + x \cdot 2 : 5 x - 3

= \frac{5 x - 3}{6}

(1 - cos (x)) 1 - 1 (1 + cos (x))

m (x - y) + 2 n (x - y)

8 (- 6 f - 9) + 2 (9 f + 2)

10 - (y - 6) - y

(x + \frac{1}{2})^{5}