What is x/2+(x-3)/5 ?

The solution to x/2+(x-3)/5 is (7x-6)/(10)

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simplify x/2+(x-3)/5

simplify

\frac{x}{2} + \frac{x - 3}{5}

\frac{7 x - 6}{10}

Solution steps

\frac{x}{2} + \frac{x - 3}{5}

Least Common Multiplier of

2, 5 : 10

Adjust Fractions based on the LCM

= \frac{x \cdot 5}{10} + \frac{( x - 3 ) \cdot 2}{10}

Apply the fraction rule:

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

= \frac{x \cdot 5 + ( x - 3 ) \cdot 2}{10}

Simplify

x \cdot 5 + (x - 3) \cdot 2 : 7 x - 6

= \frac{7 x - 6}{10}

\frac{x + 2}{2 x} + \frac{x ^{2} + 2}{6 x ^{2}}

398 - 80 - 162

1 + \frac{4}{2}

(3 x + 4 y)^{5}

\frac{( 12 a ^{3} b ^{2} + 10 a ^{2} b ^{3} )}{2 ab}