What is (120)/(2pi)(1/2-1/18-1/4-1/14) ?

The solution to (120)/(2pi)(1/2-1/18-1/4-1/14) is (155)/(21pi)

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simplify (120)/(2pi)(1/2-1/18-1/4-1/14)

simplify

\frac{120}{2 π} (\frac{1}{2} - \frac{1}{18} - \frac{1}{4} - \frac{1}{14})

\frac{155}{21 π}

Decimal Notation

2.34943 \dots

Solution steps

\frac{120}{2 π} (\frac{1}{2} - \frac{1}{18} - \frac{1}{4} - \frac{1}{14})

Divide the numbers:

\frac{120}{2} = 60

= \frac{60}{π} (\frac{1}{2} - \frac{1}{4} - \frac{1}{18} - \frac{1}{14})

Join

\frac{1}{2} - \frac{1}{18} - \frac{1}{4} - \frac{1}{14} : \frac{31}{252}

= \frac{60}{π} \cdot \frac{31}{252}

Cross-cancel common factor:

12

= \frac{5}{π} \cdot \frac{31}{21}

Multiply fractions:

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

= \frac{5 \cdot 31}{π 21}

Multiply the numbers:

5 \cdot 31 = 155

= \frac{155}{21 π}

22 \geq 5 (2 y + 3) - 3 y

220

a^{2} \cdot a^{3}

\frac{x}{2} - \frac{2 \cdot ( x + 2 )}{7} = \frac{x - 3}{4}

\frac{x + 7}{7} = 10

What is (120)/(2pi)(1/2-1/18-1/4-1/14) ?
The solution to (120)/(2pi)(1/2-1/18-1/4-1/14) is (155)/(21pi)