The solution to 1/2 (-9)+1 is -7/2

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1/2 (-9)+1

Solution

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

- \frac{7}{2}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

\frac{1}{2} (- 9) = - \frac{1}{2} \cdot 9

Convert element to fraction:

9 = \frac{9}{1}

= - \frac{1}{2} \cdot \frac{9}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{1}{2} \cdot \frac{9}{1} = \frac{1 \cdot 9}{2 \cdot 1}

= - \frac{1 \cdot 9}{2 \cdot 1}

Multiply the numbers:

1 \cdot 9 = 9

= - \frac{9}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= - \frac{9}{2}

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

Add and subtract (left to right)

- \frac{9}{2} + 1 : - \frac{7}{2}

- \frac{9}{2} + 1

- \frac{9}{2} + 1 = - \frac{7}{2}

- \frac{9}{2} + 1

Convert element to fraction:

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

= \frac{1 \cdot 2}{2} - \frac{9}{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 - 9}{2}

1 \cdot 2 - 9 = - 7

1 \cdot 2 - 9

Multiply the numbers:

1 \cdot 2 = 2

= 2 - 9

Subtract the numbers:

2 - 9 = - 7

= - 7

= \frac{- 7}{2}

Apply the fraction rule:

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

= - \frac{7}{2}

= - \frac{7}{2}

= - \frac{7}{2}

(81 \div 9) + 25 - 17 \times 2

- 2 \times (- 7 + 18) - (9 - 28 \div 7) \times 3

3^{2} \cdot 5

18 \times 3 \times 2 - 1 - 5 \times 2 \times 3 - 9

(+ 20) \div (- 3 - 2)