What is (pi/3-2/9 pi)/(8pi) ?

The solution to (pi/3-2/9 pi)/(8pi) is 1/72

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simplify (pi/3-2/9 pi)/(8pi)

simplify

\frac{\frac{π}{3} - \frac{2}{9} π}{8 π}

\frac{1}{72}

Decimal Notation

0.01388 \dots

Solution steps

\frac{\frac{π}{3} - \frac{2}{9} π}{8 π}

Multiply

\frac{2}{9} π : \frac{2 π}{9}

= \frac{\frac{π}{3} - \frac{2 π}{9}}{8 π}

Join

\frac{π}{3} - \frac{2 π}{9} : \frac{π}{9}

= \frac{\frac{π}{9}}{8 π}

Apply the fraction rule:

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

= \frac{π}{9 \cdot 8 π}

Multiply the numbers:

9 \cdot 8 = 72

= \frac{π}{72 π}

Cancel the common factor:

π

= \frac{1}{72}

- 243 = - 9 (10 + x)

6 x^{2} + 18 x = 0

7 x^{2} - 19 x - 6

2 π r^{2} + 6 π r = 8 π

x^{3} - 4 x^{2} + 5 x - 2