The solution to 2/3 (12-6) is 4

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2/3 (12-6)

Solution

\frac{2}{3} (12 - 6)

4

Solution steps

\frac{2}{3} (12 - 6)

Follow the PEMDAS order of operations

Calculate within parentheses

(12 - 6) : 6

12 - 6

12 - 6 = 6

= 6

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

Multiply and divide (left to right)

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

\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 \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

0 (10 - 2 \cdot 0)^{2}

\frac{3 ^{2}}{3 ^{2} + 1}

8 - [8 \div (- 3 + 1) \cdot 2 + 5] \cdot (- 3) + 5

12 1^{3} - \frac{1}{125}

277 - 17 (175)