What is 1/2 (1/2+3/2) ?

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

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1/2 (1/2+3/2)

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

1

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

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

\frac{1}{2} + \frac{3}{2}

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

\frac{1}{2} + \frac{3}{2}

Apply rule

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

= \frac{1 + 3}{2}

Add the numbers:

1 + 3 = 4

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

= 2

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

Multiply and divide (left to right)

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

\frac{1}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

= 1

= 1

- 3 \cdot 4 + 4

1 + 2 - 1

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

3^{4} - 2^{4}

- 2 (- 1) - 1