What is (1/2+2)(-2)+9/2 ?

The solution to (1/2+2)(-2)+9/2 is -1/2

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(1/2+2)(-2)+9/2

(\frac{1}{2} + 2) (- 2) + \frac{9}{2}

- \frac{1}{2}

Solution steps

(\frac{1}{2} + 2) (- 2) + \frac{9}{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} + 2) : \frac{5}{2}

\frac{1}{2} + 2

\frac{1}{2} + 2 = \frac{5}{2}

\frac{1}{2} + 2

Convert element to fraction:

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

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

2 \cdot 2 + 1 = 5

2 \cdot 2 + 1

Multiply the numbers:

2 \cdot 2 = 4

= 4 + 1

Add the numbers:

4 + 1 = 5

= 5

= \frac{5}{2}

= \frac{5}{2}

= \frac{5}{2} (- 2) + \frac{9}{2}

Multiply and divide (left to right)

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

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

Apply rule

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

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

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

= - \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= - 5

= - 5 + \frac{9}{2}

Add and subtract (left to right)

- 5 + \frac{9}{2} : - \frac{1}{2}

- 5 + \frac{9}{2}

- 5 + \frac{9}{2} = - \frac{1}{2}

= - \frac{1}{2}

= - \frac{1}{2}

2^{1} + 2^{2} + 2^{3}

3 \div 3^{5}

(273 - 20) - \frac{1235}{100}

3 \div 3^{2}

4 + 5 \times 2 + 3