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受欢迎的初等代数 >

1-1/3 (1-1/2 (1 1/6))

解答

1 - \frac{1}{3} (1 - \frac{1}{2} (1 \frac{1}{6}))

解答

\frac{31}{36}

+1

十进制

0.86111 \dots

求解步骤

1 - \frac{1}{3} (1 - \frac{1}{2} (1 \frac{1}{6}))

将带分数转换为假分式:

1 \frac{1}{6} = \frac{7}{6}

1 \frac{1}{6}

将带分数转换为假分式:

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

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

= \frac{7}{6}

= 1 - \frac{1}{3} (1 - \frac{1}{2} (\frac{7}{6}))

遵循 PEMDAS 运算顺序

计算括号内的值

(1 - \frac{1}{2} (\frac{7}{6})) : \frac{5}{12}

1 - \frac{1}{2} (\frac{7}{6})

乘除（左右）

\frac{1}{2} (\frac{7}{6}) : \frac{7}{12}

\frac{1}{2} (\frac{7}{6})

去除括号:

(a) = a

= \frac{1}{2} \cdot \frac{7}{6}

分式相乘:

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

= \frac{1 \cdot 7}{2 \cdot 6}

数字相乘:

1 \cdot 7 = 7

= \frac{7}{2 \cdot 6}

数字相乘:

2 \cdot 6 = 12

= \frac{7}{12}

= 1 - \frac{7}{12}

加减（左右）

1 - \frac{7}{12} : \frac{5}{12}

1 - \frac{7}{12}

1 - \frac{7}{12} = \frac{5}{12}

1 - \frac{7}{12}

将项转换为分式:

1 = \frac{1 \cdot 12}{12}

= \frac{1 \cdot 12}{12} - \frac{7}{12}

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 12 - 7}{12}

1 \cdot 12 - 7 = 5

1 \cdot 12 - 7

数字相乘:

1 \cdot 12 = 12

= 12 - 7

数字相减:

12 - 7 = 5

= 5

= \frac{5}{12}

= \frac{5}{12}

= \frac{5}{12}

= 1 - \frac{1}{3} \cdot \frac{5}{12}

乘除（左右）

\frac{1}{3} \cdot \frac{5}{12} : \frac{5}{36}

\frac{1}{3} \cdot \frac{5}{12}

使用分式法则:

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

= \frac{1 \cdot 5}{3 \cdot 12}

数字相乘:

1 \cdot 5 = 5

= \frac{5}{3 \cdot 12}

数字相乘:

3 \cdot 12 = 36

= \frac{5}{36}

= 1 - \frac{5}{36}

加减（左右）

1 - \frac{5}{36} : \frac{31}{36}

1 - \frac{5}{36}

1 - \frac{5}{36} = \frac{31}{36}

1 - \frac{5}{36}

将项转换为分式:

1 = \frac{1 \cdot 36}{36}

= \frac{1 \cdot 36}{36} - \frac{5}{36}

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 36 - 5}{36}

1 \cdot 36 - 5 = 31

1 \cdot 36 - 5

数字相乘:

1 \cdot 36 = 36

= 36 - 5

数字相减:

36 - 5 = 31

= 31

= \frac{31}{36}

= \frac{31}{36}

= \frac{31}{36}

流行的例子

170+(2+3)× (12-2)-49\div 7

170 + (2 + 3) \times (12 - 2) - 49 \div 7

(3^{2} \div 9) + 9

- 3^{3} - 3^{2}

245 \times (7/10)

(-2-4)^2\div 18

(- 2 - 4)^{2} \div 18