The solution to 1-1/3 (1) is 2/3

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1-1/3 (1)

Solution

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

\frac{2}{3}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

\frac{1}{3} (1)

Apply rule:

(a) = a

(1) = 1

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

Multiply the numbers:

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

= \frac{1}{3}

= 1 - \frac{1}{3}

Add and subtract (left to right)

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}

(108 \div 3 - 8) \times 2

17 - 3^{2}

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

4 + 3 (- \frac{2}{5})

1 + (- 2)^{2}