What is ((+3)+(-4)(-6))/((-3)+(-4)-(-6)) ?

The solution to ((+3)+(-4)(-6))/((-3)+(-4)-(-6)) is -27

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((+3)+(-4)(-6))/((-3)+(-4)-(-6))

\frac{( + 3 ) + ( - 4 ) ( - 6 )}{( - 3 ) + ( - 4 ) - ( - 6 )}

- 27

Solution steps

\frac{( 3 ) + ( - 4 ) ( - 6 )}{( - 3 ) + ( - 4 ) - ( - 6 )}

Solve

(3) + (- 4) (- 6) : 27

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- 4) (- 6) : 24

(- 4) (- 6)

Apply rule

(- a) \cdot (- b) = a \cdot b

(- 4) (- 6) = 4 \cdot 6 = 24

= 24

= (3) + 24

Add and subtract (left to right)

(3) + 24 : 27

(3) + 24

(3) + 24 = 27

= 27

= 27

Solve

(- 3) + (- 4) - (- 6) : - 1

Follow the PEMDAS order of operations

Add and subtract (left to right)

Apply rule

+ (- a) = - a

+ (- 4) = - 4

= (- 3) - 4 - (- 6)

(- 3) - 4 = - 7

= - 7 - (- 6)

Apply rule

- (- a) = + a

- (- 6) = + 6

= - 7 + 6

- 7 + 6 = - 1

= - 1

= \frac{27}{- 1}

Simplify

\frac{27}{- 1} : - 27

Apply the fraction rule:

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

= - \frac{27}{1}

Apply rule

\frac{a}{1} = a

= - 27

= - 27

9 + (- 2)^{3} - 2 (- 6^{2})

3 \cdot (2)^{2} - 6

- 3 - 2 - 1 \div 3

(- 5 + 6) \times (15 - (- 2))

3 (- 1) - (- 1)

What is ((+3)+(-4)(-6))/((-3)+(-4)-(-6)) ?
The solution to ((+3)+(-4)(-6))/((-3)+(-4)-(-6)) is -27