What is (x+3)/6-(x-2)/(30) ?

The solution to (x+3)/6-(x-2)/(30) is (4x+17)/(30)

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simplify (x+3)/6-(x-2)/(30)

simplify

\frac{x + 3}{6} - \frac{x - 2}{30}

\frac{4 x + 17}{30}

Solution steps

\frac{x + 3}{6} - \frac{x - 2}{30}

Least Common Multiplier of

6, 30 : 30

Adjust Fractions based on the LCM

= \frac{( x + 3 ) \cdot 5}{30} - \frac{x - 2}{30}

Apply the fraction rule:

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

= \frac{( x + 3 ) \cdot 5 - ( x - 2 )}{30}

Simplify

(x + 3) \cdot 5 - (x - 2) : 4 x + 17

= \frac{4 x + 17}{30}

612 - 123 + 100

\frac{1}{2} \times \frac{5}{2}

5 - 3

5 x^{2} + 500

3 - \frac{9}{5}