What is [3-2*(1-1/2)]\div 1/2 ?

The solution to [3-2*(1-1/2)]\div 1/2 is 4

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[3-2*(1-1/2)]\div 1/2

[3 - 2 \cdot (1 - \frac{1}{2})] \div \frac{1}{2}

4

Solution steps

[3 - 2 (1 - \frac{1}{2})] \div \frac{1}{2}

Follow the PEMDAS order of operations

Calculate within parentheses

[3 - 2 \cdot (1 - \frac{1}{2})] : 2

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

Calculate within parentheses

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

1 - \frac{1}{2}

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

1 - \frac{1}{2}

Convert element to fraction:

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

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

1 \cdot 2 - 1 = 1

1 \cdot 2 - 1

Multiply the numbers:

1 \cdot 2 = 2

= 2 - 1

Subtract the numbers:

2 - 1 = 1

= 1

= \frac{1}{2}

= \frac{1}{2}

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

Multiply and divide (left to right)

2 \cdot \frac{1}{2} : 1

2 \cdot \frac{1}{2}

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

= 1

= 3 - 1

Add and subtract (left to right)

3 - 1 : 2

3 - 1

3 - 1 = 2

= 2

= 2

= 2 \div \frac{1}{2}

Multiply and divide (left to right)

2 \div \frac{1}{2} : 4

2 \div \frac{1}{2}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \div \frac{1}{2}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

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

Apply rule

\frac{a}{1} = a

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

= 4

(- 5) - (- 3) - (+ 7) + (- 4)

12 + 5 \times (4 - 2)

2 - 3 (46 - 2) + 8

4 5^{2} - 9

2 - \frac{1}{6} - 1 \frac{3}{4}