The solution to 1/4 (-2)-2 is -5/2

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1/4 (-2)-2

Solution

\frac{1}{4} (- 2) - 2

- \frac{5}{2}

Solution steps

\frac{1}{4} (- 2) - 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{4} (- 2) : - \frac{1}{2}

\frac{1}{4} (- 2)

Apply rule

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

\frac{1}{4} (- 2) = - \frac{1}{4} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

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

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

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

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

Multiply the numbers:

4 \cdot 1 = 4

= \frac{2}{4}

= \frac{2}{4}

Cancel the numbers:

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

= \frac{1}{2}

= - \frac{1}{2}

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

Add and subtract (left to right)

- \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

Subtract the numbers:

- 4 - 1 = - 5

= - 5

= \frac{- 5}{2}

Apply the fraction rule:

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

= - \frac{5}{2}

= - \frac{5}{2}

= - \frac{5}{2}

2^{4} - 4^{2}

17 + 20 \div 4 - 5

- (- 1 + 3)^{2}

(- 3) + (+ 2) - (- 1) + (- 5) - (+ 7)

50 - [2 + 7 (- 3)]