What is 1/2 \div [-2/3+5/6 ] ?

The solution to 1/2 \div [-2/3+5/6 ] is 3

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1/2 \div [-2/3+5/6 ]

\frac{1}{2} \div [- \frac{2}{3} + \frac{5}{6}]

3

Solution steps

\frac{1}{2} \div [- \frac{2}{3} + \frac{5}{6}]

Follow the PEMDAS order of operations

Calculate within parentheses

[- \frac{2}{3} + \frac{5}{6}] : \frac{1}{6}

= \frac{1}{2} \div \frac{1}{6}

Multiply and divide (left to right)

\frac{1}{2} \div \frac{1}{6} : 3

= 3

(- 6)^{2} - 4 \times 1 \times (16)

- 4 + (- 12) + (- 6)

2 + 5 (44 - 1)

(5 + 2) 3

4^{2} - 9 (4) + 8