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Popular >

(1-1/3)6

Solution

(1 - \frac{1}{3}) 6

4

Solution steps

(1 - \frac{1}{3}) \cdot 6

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{1}{3}) : \frac{2}{3}

1 - \frac{1}{3}

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

1 - \frac{1}{3}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

1 \cdot 3 - 1 = 2

1 \cdot 3 - 1

Multiply the numbers:

1 \cdot 3 = 3

= 3 - 1

Subtract the numbers:

3 - 1 = 2

= 2

= \frac{2}{3}

= \frac{2}{3}

= \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

40 \div (- 10) \times (2 \times 5 + 14 \div (- 2))

3 - 4 \times 4 + 3

12 (- 1)^{2} - 24 (- 1)

160 \div 4 - (40 - 9 \times 4) - 6 \times 6

(- 1)^{2} + 2 (- 1) + 2