What is 2(-6)(9)-3(1/3)(2/4) ?

The solution to 2(-6)(9)-3(1/3)(2/4) is -217/2

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2(-6)(9)-3(1/3)(2/4)

2 (- 6) (9) - 3 (\frac{1}{3}) (\frac{2}{4})

- \frac{217}{2}

Solution steps

2 (- 6) (9) - 3 (\frac{1}{3}) (\frac{2}{4})

\frac{2}{4} = \frac{1}{2}

Cancel the common factor:

2

\frac{1}{2}

= 2 (- 6) \cdot 9 - 3 \cdot \frac{1}{3} \cdot \frac{1}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 (- 6) \cdot 9 : - 108

2 (- 6) \cdot 9

Apply rule

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

2 (- 6) = - 2 \cdot 6 = - 12

= - 12 \cdot 9

- 12 \cdot 9 = - 108

= - 108

= - 108 - 3 \cdot \frac{1}{3} \cdot \frac{1}{2}

Multiply and divide (left to right)

3 \cdot \frac{1}{3} \cdot \frac{1}{2} : \frac{1}{2}

3 \cdot \frac{1}{3} \cdot \frac{1}{2}

3 \frac{1}{3} = 1

3 \cdot \frac{1}{3}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \cdot \frac{1}{3}

Cross-cancel common factor:

3

= 1

= 1 \cdot \frac{1}{2}

1 \cdot \frac{1}{2} = \frac{1}{2}

= \frac{1}{2}

= - 108 - \frac{1}{2}

Add and subtract (left to right)

- 108 - \frac{1}{2} : - \frac{217}{2}

- 108 - \frac{1}{2}

- 108 - \frac{1}{2} = - \frac{217}{2}

= - \frac{217}{2}

= - \frac{217}{2}

- 3 (3) + 2 (4)

5 + 2 + (- 1)

3 \cdot (- \frac{1}{2}) + 1

1 \times (- 2) + 1

90 - (- 3) + (10) - (- 20)