What is 2/(-3)\times 6-2 ?

The solution to 2/(-3)\times 6-2 is -6

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2/(-3)\times 6-2

\frac{2}{- 3} \cdot 6 - 2

- 6

Solution steps

\frac{2}{- 3} \cdot 6 - 2

Apply the fraction rule

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

- \frac{2}{3}

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- \frac{2}{3}) \cdot 6 : - 4

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

Apply rule

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

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

Convert element to fraction:

6 = \frac{6}{1}

= - \frac{2}{3} \cdot \frac{6}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{2}{3} \cdot \frac{6}{1} = \frac{2 \cdot 6}{3 \cdot 1}

= - \frac{2 \cdot 6}{3 \cdot 1}

Cancel

\frac{2 \cdot 6}{3 \cdot 1} : 4

\frac{2 \cdot 6}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{2 \cdot 6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

= - 4

= - 4 - 2

Add and subtract (left to right)

- 4 - 2 : - 6

- 4 - 2

- 4 - 2 = - 6

= - 6

= - 6

\times 2 + 3 \times (- 4)

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

6^{6} + 9^{12}

(- 17) \times 10 (- 1)

10 - (5 - 2) + 10 \times 2 - 8