What is 2/(-5)-2*(-9)/(-5) ?

The solution to 2/(-5)-2*(-9)/(-5) is -4

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2/(-5)-2*(-9)/(-5)

\frac{2}{- 5} - 2 \cdot \frac{- 9}{- 5}

- 4

Solution steps

\frac{2}{- 5} - 2 \cdot \frac{- 9}{- 5}

Apply the fraction rule

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

- \frac{2}{5}

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

Apply the fraction rule

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

\frac{9}{5}

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \cdot \frac{9}{5} : \frac{18}{5}

2 \cdot \frac{9}{5}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{9}{5}

Apply the fraction rule:

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

= \frac{2 \cdot 9}{1 \cdot 5}

Multiply the numbers:

2 \cdot 9 = 18

= \frac{18}{1 \cdot 5}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{18}{5}

= - \frac{2}{5} - \frac{18}{5}

Add and subtract (left to right)

- \frac{2}{5} - \frac{18}{5} : - 4

- \frac{2}{5} - \frac{18}{5}

- \frac{2}{5} - \frac{18}{5} = - 4

- \frac{2}{5} - \frac{18}{5}

Apply rule

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

= \frac{- 2 - 18}{5}

Subtract the numbers:

- 2 - 18 = - 20

= \frac{- 20}{5}

Apply the fraction rule:

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

= - \frac{20}{5}

Divide the numbers:

\frac{20}{5} = 4

= - 4

= - 4

= - 4

- \frac{1}{2} (- 1)^{2} + 5

((- 8) - 6 - (- 4)) 5

15 \div 3 \times 3 + 2 \times (5 - 2) + 8 \div 4

3^{2} + 5 - (- 4^{2})

- (4)^{2} + 4 (4)