What is -2(-3(-1)/3)+5 ?

The solution to -2(-3(-1)/3)+5 is 3

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

- 2 (- 3 \frac{- 1}{3}) + 5

3

Solution steps

- 2 (- 3 \cdot \frac{- 1}{3}) + 5

Apply the fraction rule

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

- \frac{1}{3}

= - 2 (- 3 (- \frac{1}{3})) + 5

Follow the PEMDAS order of operations

Calculate within parentheses

(- 3 (- \frac{1}{3})) : 1

- 3 (- \frac{1}{3})

- 3 (- \frac{1}{3}) = 1

- 3 (- \frac{1}{3})

Apply rule

- (- a) = a

= 3 \cdot \frac{1}{3}

Multiply fractions:

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

= \frac{1 \cdot 3}{3}

Cancel the common factor:

3

= 1

= 1

= - 2 \cdot 1 + 5

Multiply and divide (left to right)

- 2 \cdot 1 : - 2

- 2 \cdot 1

- 2 \cdot 1 = - 2

= - 2

= - 2 + 5

Add and subtract (left to right)

- 2 + 5 : 3

- 2 + 5

- 2 + 5 = 3

= 3

= 3

1 \div 2 \div 3 \div 7

(25 + 3) (35 + 3)

5^{3} \cdot 2^{3}

(+ 8) + (+ 9) + (- 9) + (- 7) + (- 4)

(- 10) + (- 29) + (- 37)