What is [-(24-8)*2-24]\div [22-(-3+2)] ?

The solution to [-(24-8)*2-24]\div [22-(-3+2)] is -2 10/23

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[-(24-8)*2-24]\div [22-(-3+2)]

[- (24 - 8) \cdot 2 - 24] \div [22 - (- 3 + 2)]

- 2 \frac{10}{23}

Solution steps

[- (24 - 8) \cdot 2 - 24] \div [22 - (- 3 + 2)]

Follow the PEMDAS order of operations

Calculate within parentheses

[- (24 - 8) \cdot 2 - 24] : - 56

= - 56 \div [22 - (- 3 + 2)]

Calculate within parentheses

[22 - (- 3 + 2)] : 23

= - 56 \div 23

Multiply and divide (left to right)

- 56 \div 23 : \frac{- 56}{23}

= \frac{- 56}{23}

Simplify

\frac{- 56}{23} : - 2 \frac{10}{23}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{56}{23}

Convert improper fractions to mixed numbers:

\frac{56}{23} = 2 \frac{10}{23}

= - 2 \frac{10}{23}

3 (- 3) - 2 + ((- 3)^{2} - 3 (- 3))

[(3^{2} - \frac{1}{5}) + 5]

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

\frac{2 ^{7} + 4 ^{3}}{8 ^{3} + 1 6 ^{2}}

2 (- 5)^{2} + 3 (- 5)

What is [-(24-8)*2-24]\div [22-(-3+2)] ?
The solution to [-(24-8)*2-24]\div [22-(-3+2)] is -2 10/23