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受欢迎的初等代数 >

-1/6 (-8/9+1)

解答

- \frac{1}{6} (- \frac{8}{9} + 1)

解答

- \frac{1}{54}

+1

十进制

- 0.01851 \dots

求解步骤

- \frac{1}{6} (- \frac{8}{9} + 1)

遵循 PEMDAS 运算顺序

计算括号内的值

(- \frac{8}{9} + 1) : \frac{1}{9}

- \frac{8}{9} + 1

- \frac{8}{9} + 1 = \frac{1}{9}

- \frac{8}{9} + 1

将项转换为分式:

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

= \frac{1 \cdot 9}{9} - \frac{8}{9}

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{1 \cdot 9 - 8}{9}

1 \cdot 9 - 8 = 1

1 \cdot 9 - 8

数字相乘:

1 \cdot 9 = 9

= 9 - 8

数字相减:

9 - 8 = 1

= 1

= \frac{1}{9}

= \frac{1}{9}

= - \frac{1}{6} \cdot \frac{1}{9}

乘除（左右）

- \frac{1}{6} \cdot \frac{1}{9} : - \frac{1}{54}

- \frac{1}{6} \cdot \frac{1}{9}

使用分式法则:

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

\frac{1}{6} \cdot \frac{1}{9} = \frac{1 \cdot 1}{6 \cdot 9}

= - \frac{1 \cdot 1}{6 \cdot 9}

数字相乘:

1 \cdot 1 = 1

= - \frac{1}{6 \cdot 9}

数字相乘:

6 \cdot 9 = 54

= - \frac{1}{54}

= - \frac{1}{54}

流行的例子

- 6 (- 1)^{2}

10 - (9 - (8 - 7))

- 2 (2) + 6

- 2 (2) + 8

2+(3\div (10-11)+1)\div 2

2 + (3 \div (10 - 11) + 1) \div 2