What is (5pi)/(12)-pi/4 ?

The solution to (5pi)/(12)-pi/4 is pi/6

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simplify (5pi)/(12)-pi/4

simplify

\frac{5 π}{12} - \frac{π}{4}

\frac{π}{6}

Decimal Notation

0.52359 \dots

Solution steps

\frac{5 π}{12} - \frac{π}{4}

Least Common Multiplier of

12, 4 : 12

Adjust Fractions based on the LCM

= \frac{5 π}{12} - \frac{π 3}{12}

Since the denominators are equal, combine the fractions:

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

= \frac{5 π - π 3}{12}

Add similar elements:

5 π - 3 π = 2 π

= \frac{2 π}{12}

Cancel the common factor:

2

= \frac{π}{6}

8 x + 9 \leq 16 x - 13

6 + 5 x = 9 x - 4 + 6 x

8 x^{2} - 8

9 > 7

- 4 y \leq 16