What is (-2)/(11)*3-43/11 ?

The solution to (-2)/(11)*3-43/11 is -49/11

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(-2)/(11)*3-43/11

\frac{- 2}{11} \cdot 3 - \frac{43}{11}

- \frac{49}{11}

Solution steps

\frac{- 2}{11} \cdot 3 - \frac{43}{11}

Apply the fraction rule

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

- \frac{2}{11}

= (- \frac{2}{11}) \cdot 3 - \frac{43}{11}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- \frac{2}{11}) \cdot 3 : - \frac{6}{11}

(- \frac{2}{11}) \cdot 3

Apply rule

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

(- \frac{2}{11}) \cdot 3 = - \frac{2}{11} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{2}{11} \cdot \frac{3}{1}

Apply the fraction rule:

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

\frac{2}{11} \cdot \frac{3}{1} = \frac{2 \cdot 3}{11 \cdot 1}

= - \frac{2 \cdot 3}{11 \cdot 1}

Multiply the numbers:

2 \cdot 3 = 6

= - \frac{6}{11 \cdot 1}

Multiply the numbers:

11 \cdot 1 = 11

= - \frac{6}{11}

= - \frac{6}{11} - \frac{43}{11}

Add and subtract (left to right)

- \frac{6}{11} - \frac{43}{11} : - \frac{49}{11}

- \frac{6}{11} - \frac{43}{11}

- \frac{6}{11} - \frac{43}{11} = - \frac{49}{11}

- \frac{6}{11} - \frac{43}{11}

Apply rule

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

= \frac{- 6 - 43}{11}

Subtract the numbers:

- 6 - 43 = - 49

= \frac{- 49}{11}

Apply the fraction rule:

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

= - \frac{49}{11}

= - \frac{49}{11}

= - \frac{49}{11}

(- 2) - (- 16) + 8 - [(- 14) + (- 1)]

5 (4)^{4}

240 - (160 - 100 + 20) - 6 \times 10

(1 \div 3) + (2 \div 4)

15 \div 3 + 8 \times 4 - 7 \times 2