What is (-3)/1 ((-11)/3+1/1) ?

The solution to (-3)/1 ((-11)/3+1/1) is 8

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(-3)/1 ((-11)/3+1/1)

\frac{- 3}{1} (\frac{- 11}{3} + \frac{1}{1})

8

Solution steps

\frac{- 3}{1} (\frac{- 11}{3} + \frac{1}{1})

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

Apply rule

\frac{a}{1} = a

- 3

= (- 3) (\frac{- 11}{3} + \frac{1}{1})

Apply the fraction rule

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

- \frac{11}{3}

= (- 3) (- \frac{11}{3} + \frac{1}{1})

\frac{1}{1} = 1

Apply rule

\frac{a}{1} = a

1

= (- 3) (- \frac{11}{3} + 1)

Follow the PEMDAS order of operations

Calculate within parentheses

(- \frac{11}{3} + 1) : - \frac{8}{3}

- \frac{11}{3} + 1

- \frac{11}{3} + 1 = - \frac{8}{3}

- \frac{11}{3} + 1

Convert element to fraction:

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

= \frac{1 \cdot 3}{3} - \frac{11}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 3 - 11}{3}

1 \cdot 3 - 11 = - 8

1 \cdot 3 - 11

Multiply the numbers:

1 \cdot 3 = 3

= 3 - 11

Subtract the numbers:

3 - 11 = - 8

= - 8

= \frac{- 8}{3}

Apply the fraction rule:

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

= - \frac{8}{3}

= - \frac{8}{3}

= (- 3) (- \frac{8}{3})

Multiply and divide (left to right)

(- 3) (- \frac{8}{3}) : 8

(- 3) (- \frac{8}{3})

Apply rule

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

(- 3) (- \frac{8}{3}) = 3 \cdot \frac{8}{3}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \cdot \frac{8}{3}

Cross-cancel common factor:

3

= \frac{8}{1}

Divide the numbers:

\frac{8}{1} = 8

= 8

= 8

\frac{139}{6} (3)^{3}

(42 + 41) \times (11 + 8 + 25)

20000 + 1000 - 120 - 10 + 120 + 20 + 40

- 5 (2) + (- 5) (\frac{1}{16})

- 2 \times + 4 - 1