What is (-200+75)/(-3+(2)(4)) ?

The solution to (-200+75)/(-3+(2)(4)) is -25

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(-200+75)/(-3+(2)(4))

\frac{- 200 + 75}{- 3 + ( 2 ) ( 4 )}

- 25

Solution steps

\frac{- 200 + 75}{- 3 + ( 2 ) ( 4 )}

Solve

- 200 + 75 : - 125

- 200 + 75 = - 125

= - 125

Solve

- 3 + (2) (4) : 5

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(2) (4) : 8

(2) (4)

(2) (4) = 2 \cdot 4

(2) (4)

Apply rule:

(a) = a

(2) = 2

= 2 (4)

Apply rule:

(a) = a

(4) = 4

= 2 \cdot 4

= 2 \cdot 4

Multiply the numbers:

2 \cdot 4 = 8

= 8

= - 3 + 8

Add and subtract (left to right)

- 3 + 8 : 5

- 3 + 8

- 3 + 8 = 5

= 5

= 5

= \frac{- 125}{5}

Simplify

\frac{- 125}{5} : - 25

Apply the fraction rule:

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

= - \frac{125}{5}

Divide the numbers:

\frac{125}{5} = 25

= - 25

= - 25

14 - [2 \times (8 - (29 - 3 \times 2^{3})) - 4]

4 \times (2 \times (- 1))

(- 5) + (+ 3) + (+ 4) + (- 2)

\frac{4}{3} + (\frac{5}{6} + \frac{1}{2})

- 4 - (3)^{2} + 9