What is 4/9 \div (2/3*8) ?

The solution to 4/9 \div (2/3*8) is 1/12

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4/9 \div (2/3*8)

\frac{4}{9} \div (\frac{2}{3} \cdot 8)

\frac{1}{12}

Solution steps

\frac{4}{9} \div (\frac{2}{3} \cdot 8)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{2}{3} \cdot 8) : \frac{16}{3}

= \frac{4}{9} \div \frac{16}{3}

Multiply and divide (left to right)

\frac{4}{9} \div \frac{16}{3} : \frac{1}{12}

= \frac{1}{12}

\frac{\frac{5}{6}}{\frac{11}{6}}

\frac{( ab ) ^{- 1}}{a ^{- 1} b ^{- 1}}

x^{2} = 64 x

(x + 1) (x + 2) = 12