The solution to -5-4 1/2+8 is -3/2

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-5-4 1/2+8

Solution

- 5 - 4 \frac{1}{2} + 8

- \frac{3}{2}

Solution steps

- 5 - 4 \frac{1}{2} + 8

Convert mixed numbers to improper fractions:

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

4 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

4 \frac{1}{2} = \frac{4 \cdot 2 + 1}{2}

= \frac{9}{2}

= - 5 - \frac{9}{2} + 8

Follow the PEMDAS order of operations

Add and subtract (left to right)

- 5 - \frac{9}{2} + 8 : - \frac{3}{2}

- 5 - \frac{9}{2} + 8

- 5 - \frac{9}{2} = - \frac{19}{2}

= - \frac{19}{2} + 8

- \frac{19}{2} + 8 = - \frac{3}{2}

- \frac{19}{2} + 8

Convert element to fraction:

8 = \frac{8 \cdot 2}{2}

= \frac{8 \cdot 2}{2} - \frac{19}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{8 \cdot 2 - 19}{2}

8 \cdot 2 - 19 = - 3

8 \cdot 2 - 19

Multiply the numbers:

8 \cdot 2 = 16

= 16 - 19

Subtract the numbers:

16 - 19 = - 3

= - 3

= \frac{- 3}{2}

Apply the fraction rule:

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

= - \frac{3}{2}

= - \frac{3}{2}

= - \frac{3}{2}

2 \times 3 - 3

10 + 14 - \frac{1}{2}

- (- 3 + 3)^{2}

(- 23) + 57 + 17

\frac{14 + 4 ^{2}}{14 - 3 ( 4 )}