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

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2/3 (6-9)

Solution

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

- 2

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - 9) : - 3

6 - 9

6 - 9 = - 3

= - 3

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

Multiply and divide (left to right)

\frac{2}{3} (- 3) : - 2

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

Apply rule

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

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

Convert element to fraction:

3 = \frac{3}{1}

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

Cross-cancel common factor:

3

= - \frac{2}{1}

Divide the numbers:

\frac{2}{1} = 2

= - 2

= - 2

(490 \div 5 \times 2) + (490 \div 5)

(100 - 5) (100 + 5)

8 \cdot (7 + 9 - 11)

- 2 (4)^{2} + 8 (4) - 5

4 (4)^{4}