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受欢迎的初等代数 >

化简 (1-2)/((\frac{2-3× 15-16){-4})-2}

解答

化简

\frac{1 - 2}{( \frac{2 - 3 \cdot 15 - 16}{- 4} ) - 2}

解答

- \frac{4}{51}

+1

十进制

- 0.07843 \dots

求解步骤

\frac{1 - 2}{( \frac{2 - 3 \cdot 15 - 16}{- 4} ) - 2}

使用法则:

(a) = a

(\frac{2 - 3 \cdot 15 - 16}{- 4}) = \frac{2 - 3 \cdot 15 - 16}{- 4}

= \frac{1 - 2}{\frac{2 - 3 \cdot 15 - 16}{- 4} - 2}

使用分式法则:

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

\frac{2 - 3 \cdot 15 - 16}{- 4} = - \frac{2 - 3 \cdot 15 - 16}{4}

= \frac{1 - 2}{- \frac{2 - 3 \cdot 15 - 16}{4} - 2}

数字相减:

1 - 2 = - 1

= \frac{- 1}{- \frac{2 - 3 \cdot 15 - 16}{4} - 2}

- \frac{2 - 3 \cdot 15 - 16}{4} - 2 = \frac{51}{4}

- \frac{2 - 3 \cdot 15 - 16}{4} - 2

- \frac{2 - 3 \cdot 15 - 16}{4} = \frac{59}{4}

- \frac{2 - 3 \cdot 15 - 16}{4}

2 - 3 \cdot 15 - 16 = - 59

2 - 3 \cdot 15 - 16

数字相减:

2 - 16 = - 14

= - 14 - 3 \cdot 15

数字相乘:

3 \cdot 15 = 45

= - 14 - 45

数字相减:

- 14 - 45 = - 59

= - 59

= - \frac{- 59}{4}

使用分式法则:

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

\frac{- 59}{4} = - \frac{59}{4}

= - (- \frac{59}{4})

使用法则:

- (- a) = a

- (- \frac{59}{4}) = \frac{59}{4}

= \frac{59}{4}

= \frac{59}{4} - 2

\frac{59}{4} - 2 = \frac{51}{4}

\frac{59}{4} - 2

将

- 2

转换为分数

: \frac{- 8}{4}

- 2

使用分式法则:

a = \frac{ab}{b}

= \frac{- 2 \cdot 4}{4}

数字相乘:

2 \cdot 4 = 8

= \frac{- 8}{4}

= \frac{59}{4} + \frac{- 8}{4}

\frac{59}{4} + \frac{- 8}{4} = \frac{51}{4}

\frac{59}{4} + \frac{- 8}{4}

使用分式法则:

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

= \frac{59 - 8}{4}

数字相减:

59 - 8 = 51

= \frac{51}{4}

= \frac{51}{4}

= \frac{51}{4}

= \frac{- 1}{\frac{51}{4}}

使用分式法则:

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

= \frac{- 1 \cdot 4}{51}

使用分式法则:

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

= - \frac{1 \cdot 4}{51}

数字相乘:

1 \cdot 4 = 4

= - \frac{4}{51}

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