What is (5pi)/6+(2pi)/3 ?

The solution to (5pi)/6+(2pi)/3 is (3pi)/2

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simplify (5pi)/6+(2pi)/3

simplify

\frac{5 π}{6} + \frac{2 π}{3}

\frac{3 π}{2}

Solution steps

\frac{5 π}{6} + \frac{2 π}{3}

Least Common Multiplier of

6, 3 : 6

Adjust Fractions based on the LCM

= \frac{5 π}{6} + \frac{4 π}{6}

Since the denominators are equal, combine the fractions:

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

= \frac{5 π + 4 π}{6}

Add similar elements:

5 π + 4 π = 9 π

= \frac{9 π}{6}

Cancel the common factor:

3

= \frac{3 π}{2}

5 x - 6 = 8

9 x^{2} - 7 = 18

\frac{- 9 i}{8 i}

80 y^{2} - 5 z^{2}

106 + 94 + 135 + 105