The solution to 2\div 3-1 is -1/3

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2\div 3-1

Solution

2 \div 3 - 1

- \frac{1}{3}

Solution steps

2 \div 3 - 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \div 3 : \frac{2}{3}

2 \div 3

2 \div 3 = \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3} - 1

Add and subtract (left to right)

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

\frac{2}{3} - 1

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

\frac{2}{3} - 1

Convert element to fraction:

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

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

- 1 \cdot 3 + 2 = - 1

- 1 \cdot 3 + 2

Multiply the numbers:

1 \cdot 3 = 3

= - 3 + 2

Add/Subtract the numbers:

- 3 + 2 = - 1

= - 1

= \frac{- 1}{3}

Apply the fraction rule:

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

= - \frac{1}{3}

= - \frac{1}{3}

= - \frac{1}{3}

3 - 5 + 82

- (- 3) + {(- 5) - [(+ 8) + (- 10)]}

9 7^{2} - 7 2^{2}

3 (2) - 3

- [3 (3 - 6) - 5^{2} - 24 + (- 4 \times 3)]