What is -15\div 45-14+8-11 ?

The solution to -15\div 45-14+8-11 is -52/3

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-15\div 45-14+8-11

- 15 \div 45 - 14 + 8 - 11

- \frac{52}{3}

Solution steps

- 15 \div 45 - 14 + 8 - 11

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 15 \div 45 : \frac{- 15}{45}

- 15 \div 45

- 15 \div 45 = \frac{- 15}{45}

= \frac{- 15}{45}

= \frac{- 15}{45} - 14 + 8 - 11

Add and subtract (left to right)

\frac{- 15}{45} - 14 + 8 - 11 : - \frac{52}{3}

\frac{- 15}{45} - 14 + 8 - 11

\frac{- 15}{45} - 14 = - \frac{43}{3}

\frac{- 15}{45} - 14

\frac{- 15}{45} = - \frac{1}{3}

\frac{- 15}{45}

Apply the fraction rule:

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

= - \frac{15}{45}

Cancel the common factor:

15

= - \frac{1}{3}

= - \frac{1}{3} - 14

Convert element to fraction:

14 = \frac{14 \cdot 3}{3}

= - \frac{14 \cdot 3}{3} - \frac{1}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 14 \cdot 3 - 1}{3}

- 14 \cdot 3 - 1 = - 43

- 14 \cdot 3 - 1

Multiply the numbers:

14 \cdot 3 = 42

= - 42 - 1

Subtract the numbers:

- 42 - 1 = - 43

= - 43

= \frac{- 43}{3}

Apply the fraction rule:

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

= - \frac{43}{3}

= - \frac{43}{3} + 8 - 11

- \frac{43}{3} + 8 = - \frac{19}{3}

- \frac{43}{3} + 8

Convert element to fraction:

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

= \frac{8 \cdot 3}{3} - \frac{43}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{8 \cdot 3 - 43}{3}

8 \cdot 3 - 43 = - 19

8 \cdot 3 - 43

Multiply the numbers:

8 \cdot 3 = 24

= 24 - 43

Subtract the numbers:

24 - 43 = - 19

= - 19

= \frac{- 19}{3}

Apply the fraction rule:

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

= - \frac{19}{3}

= - \frac{19}{3} - 11

- \frac{19}{3} - 11 = - \frac{52}{3}

- \frac{19}{3} - 11

Convert element to fraction:

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

= - \frac{11 \cdot 3}{3} - \frac{19}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 11 \cdot 3 - 19}{3}

- 11 \cdot 3 - 19 = - 52

- 11 \cdot 3 - 19

Multiply the numbers:

11 \cdot 3 = 33

= - 33 - 19

Subtract the numbers:

- 33 - 19 = - 52

= - 52

= \frac{- 52}{3}

Apply the fraction rule:

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

= - \frac{52}{3}

= - \frac{52}{3}

= - \frac{52}{3}

- 16 + 44 + 3 - 12

- 3 - [- 4 + 6 (3 - 2) - (2 - 4) + 8]

20 + 13 - 12 + 11 - 10 + 7 \times 5 - 12 \div 3 \times 2

4 + (2 \times 3)^{2}

[4 + 8 \times (5 - 3)] \div 5 + 6