What is 8/3 \div (4/9-1/6) ?

The solution to 8/3 \div (4/9-1/6) is 9 3/5

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8/3 \div (4/9-1/6)

\frac{8}{3} \div (\frac{4}{9} - \frac{1}{6})

9 \frac{3}{5}

Solution steps

\frac{8}{3} \div (\frac{4}{9} - \frac{1}{6})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{4}{9} - \frac{1}{6}) : \frac{5}{18}

= \frac{8}{3} \div \frac{5}{18}

Multiply and divide (left to right)

\frac{8}{3} \div \frac{5}{18} : \frac{48}{5}

= \frac{48}{5}

Convert improper fractions to mixed numbers:

\frac{48}{5} = 9 \frac{3}{5}

= 9 \frac{3}{5}

(5 \cdot 3 - 2^{4})^{1001}

90 - 4^{4} - 10 \cdot 3^{2} + 2 \cdot 5^{2} - 4 + 15

(- 7) - (3) (- 4)

(- 15)^{2} - 17 (- 15) - 72

6 - 5 \cdot (8 - 3) - (\frac{12}{4} - 2)