What is ((3-2)(6-7)-2)/(3/3) ?

The solution to ((3-2)(6-7)-2)/(3/3) is -3

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((3-2)(6-7)-2)/(3/3)

\frac{( 3 - 2 ) ( 6 - 7 ) - 2}{\frac{3}{3}}

- 3

Solution steps

\frac{( 3 - 2 ) ( 6 - 7 ) - 2}{\frac{3}{3}}

Solve

(3 - 2) (6 - 7) - 2 : - 3

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 2) : 1

3 - 2

3 - 2 = 1

= 1

= 1 \cdot (6 - 7) - 2

Calculate within parentheses

(6 - 7) : - 1

6 - 7

6 - 7 = - 1

= - 1

= 1 \cdot (- 1) - 2

Multiply and divide (left to right)

1 \cdot (- 1) : - 1

1 \cdot (- 1)

Apply rule

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

1 \cdot (- 1) = - 1 \cdot 1 = - 1

= - 1

= - 1 - 2

Add and subtract (left to right)

- 1 - 2 : - 3

- 1 - 2

- 1 - 2 = - 3

= - 3

= - 3

Solve

\frac{3}{3} : 1

Apply rule

\frac{a}{a} = 1

= 1

= \frac{- 3}{1}

Apply rule

\frac{a}{1} = a

= - 3

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