What is (2pi)/3*(180)/pi ?

The solution to (2pi)/3*(180)/pi is 120

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simplify (2pi)/3*(180)/pi

simplify

\frac{2 π}{3} \cdot \frac{180}{π}

120

Solution steps

\frac{2 π}{3} \cdot \frac{180}{π}

Cross-cancel common factor:

3

= \frac{2 π}{1} \cdot \frac{60}{π}

Multiply fractions:

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

= \frac{2 π 60}{1 π}

Cancel the common factor:

π

= \frac{2 \cdot 60}{1}

Apply rule

\frac{a}{1} = a

= 2 \cdot 60

Multiply the numbers:

2 \cdot 60 = 120

= 120

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