What is 7/9 \div (1/6+2/9) ?

The solution to 7/9 \div (1/6+2/9) is 2

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7/9 \div (1/6+2/9)

\frac{7}{9} \div (\frac{1}{6} + \frac{2}{9})

2

Solution steps

\frac{7}{9} \div (\frac{1}{6} + \frac{2}{9})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{6} + \frac{2}{9}) : \frac{7}{18}

= \frac{7}{9} \div \frac{7}{18}

Multiply and divide (left to right)

\frac{7}{9} \div \frac{7}{18} : 2

= 2

\frac{5}{2} - 2 + \frac{1}{10}

12 - [9 + (\frac{7}{6} - \frac{5}{4}) - (\frac{1}{2} \times \frac{3}{4})]

7 + 2^{3}

500 + 6 (3 + 1) + (8 - 5) 3 - 2 (5 + 4)

3 0^{2} + 4 0^{2}