What is 2/3-(2\div 4/5+1/2) ?

The solution to 2/3-(2\div 4/5+1/2) is -7/3

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2/3-(2\div 4/5+1/2)

\frac{2}{3} - (2 \div \frac{4}{5} + \frac{1}{2})

- \frac{7}{3}

Solution steps

\frac{2}{3} - (2 \div \frac{4}{5} + \frac{1}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(2 \div \frac{4}{5} + \frac{1}{2}) : 3

= \frac{2}{3} - 3

Add and subtract (left to right)

\frac{2}{3} - 3 : - \frac{7}{3}

= - \frac{7}{3}

4^{2} - 2 \times 4

- 6 (3)^{2}

2 [32 - (4 - 1)^{3}]

\frac{3}{5} + \frac{2}{7}

\frac{22}{7} \times 7^{2}