What is -1/4 (-1)-2 ?

The solution to -1/4 (-1)-2 is -7/4

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-1/4 (-1)-2

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

- \frac{7}{4}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

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

= \frac{1}{4}

= \frac{1}{4} - 2

Add and subtract (left to right)

\frac{1}{4} - 2 : - \frac{7}{4}

\frac{1}{4} - 2

\frac{1}{4} - 2 = - \frac{7}{4}

\frac{1}{4} - 2

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

- 2 \cdot 4 + 1 = - 7

- 2 \cdot 4 + 1

Multiply the numbers:

2 \cdot 4 = 8

= - 8 + 1

Add/Subtract the numbers:

- 8 + 1 = - 7

= - 7

= \frac{- 7}{4}

Apply the fraction rule:

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

= - \frac{7}{4}

= - \frac{7}{4}

= - \frac{7}{4}

1 \times (- 4 + (- 8))

45 - 40 \div 8 - 2 \times 20 + (400 \div 100) \times 2

\frac{- 25}{- 5 - ( - 3 - ( - 3 \times ( - 2 ) ) + 5 ) + 7}

(- 3)^{3} - 2 + 8 \div (- 8)

- 250 - (184 - 72) + 2