What is (4pi)/3 \div 2 ?

The solution to (4pi)/3 \div 2 is (2pi)/3

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(4pi)/3 \div 2

\frac{4 π}{3} \div 2

\frac{2 π}{3}

Solution steps

\frac{4 π}{3} \div 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{4 π}{3} \div \frac{2}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{4 π}{3} \times \frac{1}{2}

Multiply fractions:

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

= \frac{4 π 1}{3 \times 2}

Multiply the numbers:

4 \times 1 = 4

= \frac{4 π}{3 \times 2}

Multiply the numbers:

3 \times 2 = 6

= \frac{4 π}{6}

Cancel the common factor:

2

= \frac{2 π}{3}

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