What is (9(4)-2(-2))/((4)(-2)) ?

The solution to (9(4)-2(-2))/((4)(-2)) is -5

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(9(4)-2(-2))/((4)(-2))

\frac{9 ( 4 ) - 2 ( - 2 )}{( 4 ) ( - 2 )}

- 5

Solution steps

\frac{9 ( 4 ) - 2 ( - 2 )}{( 4 ) ( - 2 )}

Solve

9 (4) - 2 (- 2) : 40

Follow the PEMDAS order of operations

Multiply and divide (left to right)

9 (4) : 36

9 (4)

Apply rule:

(a) = a

(4) = 4

= 9 \cdot 4

Multiply the numbers:

9 \cdot 4 = 36

= 36

= 36 - 2 (- 2)

Multiply and divide (left to right)

2 (- 2) : - 4

2 (- 2)

Apply rule

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

2 (- 2) = - 2 \cdot 2 = - 4

= - 4

= 36 - (- 4)

Add and subtract (left to right)

36 - (- 4) : 40

36 - (- 4)

Apply rule

- (- a) = + a

- (- 4) = + 4

= 36 + 4

36 + 4 = 40

= 40

= 40

Solve

(4) (- 2) : - 8

(4) (- 2) = - 8

= - 8

= \frac{40}{- 8}

Simplify

\frac{40}{- 8} : - 5

Apply the fraction rule:

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

= - \frac{40}{8}

Divide the numbers:

\frac{40}{8} = 5

= - 5

= - 5

[(- 3) \div (- 4)] \div [(- 15) \div (+ 8)]

4 + 2 \div 2

- 8 \times (- 6) + 4 \times (- 6)

\frac{45/ 1 ^{5}}{9/ 1 ^{4}}

3^{5} \div 3