What is -[4-2\times (-5)]\div (-2-1) ?

The solution to -[4-2\times (-5)]\div (-2-1) is 4 2/3

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-[4-2\times (-5)]\div (-2-1)

- [4 - 2 \times (- 5)] \div (- 2 - 1)

4 \frac{2}{3}

Solution steps

- [4 - 2 \times (- 5)] \div (- 2 - 1)

Follow the PEMDAS order of operations

Calculate within parentheses

[4 - 2 \times (- 5)] : 14

= - 14 \div (- 2 - 1)

Calculate within parentheses

(- 2 - 1) : - 3

= - 14 \div (- 3)

Multiply and divide (left to right)

- 14 \div (- 3) : \frac{- 14}{( - 3 )}

= \frac{- 14}{( - 3 )}

Simplify

\frac{- 14}{( - 3 )} : 4 \frac{2}{3}

Apply the fraction rule:

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

= \frac{14}{3}

Convert improper fractions to mixed numbers:

\frac{14}{3} = 4 \frac{2}{3}

= 4 \frac{2}{3}

- 3 (4)^{2} + 24 (4) - 45

(45 \div 5 + 10) \div (12 \times 5 - 45 + 12)

(27 - 18 + 3) \div 4 (3)

26 - 24 \div 6 \times 4 + 42

(36 \div 3 (8 - 2)) \div 6

What is -[4-2\times (-5)]\div (-2-1) ?
The solution to -[4-2\times (-5)]\div (-2-1) is 4 2/3