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2(1/2-3)

Solution

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

- 5

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} - 3) : - \frac{5}{2}

\frac{1}{2} - 3

\frac{1}{2} - 3 = - \frac{5}{2}

\frac{1}{2} - 3

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

- 3 \cdot 2 + 1 = - 5

- 3 \cdot 2 + 1

Multiply the numbers:

3 \cdot 2 = 6

= - 6 + 1

Add/Subtract the numbers:

- 6 + 1 = - 5

= - 5

= \frac{- 5}{2}

Apply the fraction rule:

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

= - \frac{5}{2}

= - \frac{5}{2}

= 2 (- \frac{5}{2})

Multiply and divide (left to right)

2 (- \frac{5}{2}) : - 5

2 (- \frac{5}{2})

Apply rule

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

2 (- \frac{5}{2}) = - 2 \cdot \frac{5}{2}

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{2}{1} \cdot \frac{5}{2}

Cross-cancel common factor:

2

= - \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= - 5

= - 5

4 \div 5 + 1 \div 6 - 2 \div 31 \div 9

- 30 + 10 \times 5 + 7 - 15

5 \cdot (- 7) \cdot (- 1)

10 - (12 - 7) \div 5 - 18 \div 3

4 \times 2 - 5 \times (- 2) + 6 \div (- 2)