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受欢迎的初等代数 >

化简 (85000)/((13%-6%)-1400000)

解答

化简

\frac{85000}{( 13% - 6% ) - 1400000}

解答

- \frac{425000000}{6999999389}

+1

十进制

- 0.06071 \dots

求解步骤

\frac{85000}{( 13% - 6% ) - 1400000}

使用法则:

(a) = a

(13% - 6%) = 13% - 6%

= \frac{85000}{13% - 6% - 1400000}

化简

13% - 6% - 1400000 : - \frac{6999999389}{5000}

13% - 6% - 1400000

13% - 6% = \frac{13}{100} - 6% \cdot \frac{13}{100}

13% - 6%

Convert

13%

into a fraction:

\frac{13}{100}

13%

Rewrite

13%

as

\frac{13}{100}

= \frac{13}{100}

= \frac{13}{100} - 6%

= \frac{13}{100} - 6% \cdot \frac{13}{100}

= (\frac{13}{100} - 6% \cdot \frac{13}{100}) - 1400000

使用法则:

(a) = a

(\frac{13}{100} - 6% \cdot \frac{13}{100}) = \frac{13}{100} - 6% \cdot \frac{13}{100}

= \frac{13}{100} - 6% \cdot \frac{13}{100} - 1400000

\frac{13}{100} - 6% \cdot \frac{13}{100} - 1400000 = - \frac{6999999389}{5000}

\frac{13}{100} - 6% \cdot \frac{13}{100} - 1400000

6% \cdot \frac{13}{100} = \frac{39}{5000}

6% \cdot \frac{13}{100}

6% = \frac{3}{50}

6%

6% = \frac{6}{100}

6%

Rewrite

6%

as

\frac{6}{100}

= \frac{6}{100}

= \frac{6}{100}

因式分解数字:

6 = 2 \cdot 3

= \frac{2 \cdot 3}{100}

因式分解数字:

100 = 2 \cdot 50

= \frac{2 \cdot 3}{2 \cdot 50}

约分:

2

= \frac{3}{50}

= \frac{3}{50} \cdot \frac{13}{100}

\frac{3}{50} \cdot \frac{13}{100} = \frac{39}{5000}

\frac{3}{50} \cdot \frac{13}{100}

使用分式法则:

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

= \frac{3 \cdot 13}{50 \cdot 100}

数字相乘:

3 \cdot 13 = 39

= \frac{39}{50 \cdot 100}

数字相乘:

50 \cdot 100 = 5000

= \frac{39}{5000}

= \frac{39}{5000}

= \frac{13}{100} - \frac{39}{5000} - 1400000

\frac{13}{100} - \frac{39}{5000} - 1400000 = - \frac{6999999389}{5000}

\frac{13}{100} - \frac{39}{5000} - 1400000

将项转换为分式:

- 1400000 = \frac{- 1400000}{1}

= \frac{13}{100} - \frac{39}{5000} + \frac{- 1400000}{1}

\frac{13}{100} - \frac{39}{5000} + \frac{- 1400000}{1} = \frac{- 6999999389}{5000}

\frac{13}{100} - \frac{39}{5000} + \frac{- 1400000}{1}

100, 5000, 1

的最小公倍数:

5000

100, 5000, 1

最小公倍数 (LCM)

100

质因数分解:

2 \cdot 2 \cdot 5 \cdot 5

100

100

除以

2100 = 50 \cdot 2

= 2 \cdot 50

50

除以

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

除以

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

都是质数，因此无法进一步因数分解

= 2 \cdot 2 \cdot 5 \cdot 5

5000

质因数分解:

2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

5000

5000

除以

25000 = 2500 \cdot 2

= 2 \cdot 2500

2500

除以

22500 = 1250 \cdot 2

= 2 \cdot 2 \cdot 1250

1250

除以

21250 = 625 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 625

625

除以

5625 = 125 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 125

125

除以

5125 = 25 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 25

25

除以

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

2, 5

都是质数，因此无法进一步因数分解

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

1

质因数分解

计算出由至少在以下一个数字中出现的因数组成的数字:

100, 5000, 1

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

数字相乘:

2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 5000

= 5000

根据最小公倍数调整分式

将每个分子乘以其分母转变为最小公倍数所要乘以的同一数值

5000

对于

\frac{13}{100} :

将分母和分子乘以

50

\frac{13}{100} = \frac{13 \cdot 50}{100 \cdot 50} = \frac{650}{5000}

对于

\frac{- 1400000}{1} :

将分母和分子乘以

5000

\frac{- 1400000}{1} = \frac{- 1400000 \cdot 5000}{1 \cdot 5000} = \frac{- 7000000000}{5000}

= \frac{650}{5000} - \frac{39}{5000} + \frac{- 7000000000}{5000}

使用分式法则:

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

= \frac{650 - 39 - 7000000000}{5000}

数字相减:

650 - 39 - 7000000000 = - 6999999389

= \frac{- 6999999389}{5000}

= \frac{- 6999999389}{5000}

使用分式法则:

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

= - \frac{6999999389}{5000}

= - \frac{6999999389}{5000}

= - \frac{6999999389}{5000}

= \frac{85000}{- \frac{6999999389}{5000}}

使用分式法则:

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

= - \frac{85000}{\frac{6999999389}{5000}}

使用分式法则:

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

\frac{85000}{\frac{6999999389}{5000}} = \frac{85000 \cdot 5000}{6999999389}

= - \frac{85000 \cdot 5000}{6999999389}

数字相乘:

85000 \cdot 5000 = 425000000

= - \frac{425000000}{6999999389}

流行的例子

5+4× 6-18\div 3+1

(+6)+(-5)+(+3)+(-2)