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受欢迎的初等代数 >

-15\div 45-14+8-11

解答

- 15 \div 45 - 14 + 8 - 11

解答

- \frac{52}{3}

+1

十进制

- 17.33333 \dots

求解步骤

- 15 \div 45 - 14 + 8 - 11

遵循 PEMDAS 运算顺序

乘除（左右）

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

- 15 \div 45

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

= \frac{- 15}{45}

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

加减（左右）

\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}

使用分式法则:

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

= - \frac{15}{45}

约分:

15

= - \frac{1}{3}

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

将项转换为分式:

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

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

因为分母相等，所以合并分式:

\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

数字相乘:

14 \cdot 3 = 42

= - 42 - 1

数字相减:

- 42 - 1 = - 43

= - 43

= \frac{- 43}{3}

使用分式法则:

\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

将项转换为分式:

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

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

因为分母相等，所以合并分式:

\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

数字相乘:

8 \cdot 3 = 24

= 24 - 43

数字相减:

24 - 43 = - 19

= - 19

= \frac{- 19}{3}

使用分式法则:

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

= - \frac{19}{3}

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

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

- \frac{19}{3} - 11

将项转换为分式:

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

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

因为分母相等，所以合并分式:

\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

数字相乘:

11 \cdot 3 = 33

= - 33 - 19

数字相减:

- 33 - 19 = - 52

= - 52

= \frac{- 52}{3}

使用分式法则:

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

= - \frac{52}{3}

= - \frac{52}{3}

= - \frac{52}{3}

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