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受欢迎的初等代数 >

化简 20(\frac{(-4))/(-6)}{(5-8)}+4× (1-2)

解答

化简

20 \frac{\frac{( - 4 )}{- 6}}{( 5 - 8 )} + 4 \cdot (1 - 2)

解答

- \frac{76}{9}

+1

十进制

- 8.44444 \dots

求解步骤

20 \cdot \frac{\frac{- 4}{- 6}}{5 - 8} + 4 (1 - 2)

20 \cdot \frac{\frac{- 4}{- 6}}{5 - 8} = - \frac{40}{9}

20 \cdot \frac{\frac{- 4}{- 6}}{5 - 8}

使用分式法则:

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

\frac{\frac{- 4}{- 6}}{5 - 8} = \frac{- 4}{- 6 ( 5 - 8 )}

= 20 \cdot \frac{- 4}{- 6 ( 5 - 8 )}

消掉

\frac{- 4}{- 6 ( 5 - 8 )} : - \frac{2}{9}

\frac{- 4}{- 6 ( 5 - 8 )}

数字相减:

5 - 8 = - 3

= \frac{- 4}{- 6 ( - 3 )}

去除括号:

- 6 (- 3) = 6 \cdot 3

= \frac{- 4}{6 \cdot 3}

因式分解数字:

4 = 2 \cdot 2

= \frac{- 2 \cdot 2}{6 \cdot 3}

因式分解数字:

6 = 2 \cdot 3

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

约分:

2

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

\frac{- 2}{3 \cdot 3} = - \frac{2}{9}

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

数字相乘:

3 \cdot 3 = 9

= \frac{- 2}{9}

使用分式法则:

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

= - \frac{2}{9}

= - \frac{2}{9}

= 20 (- \frac{2}{9})

使用法则:

a (- b) = - ab

20 (- \frac{2}{9}) = - 20 \cdot \frac{2}{9}

= - 20 \cdot \frac{2}{9}

- 20 \cdot \frac{2}{9} = - \frac{40}{9}

- 20 \cdot \frac{2}{9}

将项转换为分式:

20 = \frac{20}{1}

= - \frac{20}{1} \cdot \frac{2}{9}

使用分式法则:

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

\frac{20}{1} \cdot \frac{2}{9} = \frac{20 \cdot 2}{1 \cdot 9}

= - \frac{20 \cdot 2}{1 \cdot 9}

数字相乘:

20 \cdot 2 = 40

= - \frac{40}{1 \cdot 9}

数字相乘:

1 \cdot 9 = 9

= - \frac{40}{9}

= - \frac{40}{9}

4 (1 - 2) = - 4

4 (1 - 2)

数字相减:

1 - 2 = - 1

= 4 (- 1)

数字相乘:

4 (- 1) = - 4

= - 4

= - \frac{40}{9} - 4

- \frac{40}{9} - 4 = - \frac{76}{9}

- \frac{40}{9} - 4

将

- 4

转换为分数

: \frac{- 36}{9}

- 4

使用分式法则:

a = \frac{ab}{b}

= \frac{- 4 \cdot 9}{9}

数字相乘:

4 \cdot 9 = 36

= \frac{- 36}{9}

= - \frac{40}{9} + \frac{- 36}{9}

- \frac{40}{9} + \frac{- 36}{9} = \frac{- 76}{9}

- \frac{40}{9} + \frac{- 36}{9}

使用分式法则:

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

= \frac{- 40 - 36}{9}

数字相减:

- 40 - 36 = - 76

= \frac{- 76}{9}

= \frac{- 76}{9}

使用分式法则:

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

= - \frac{76}{9}

= - \frac{76}{9}

流行的例子

42\div [(-6)-(-3)]+28\div [-6-(-8)]

42 \div [(- 6) - (- 3)] + 28 \div [- 6 - (- 8)]

(6 - 8 + 5) - 4 + 3 + 1

7 (- 2) - (- 2) (- 8)

6^{0} + 7^{2}

2^{4} + 5