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受欢迎的初等代数 >

(2+7/8)\div (2-1/9)

解答

(2 + \frac{7}{8}) \div (2 - \frac{1}{9})

解答

1 \frac{71}{136}

+1

十进制

1.52205 \dots

求解步骤

(2 + \frac{7}{8}) \div (2 - \frac{1}{9})

遵循 PEMDAS 运算顺序

计算括号内的值

(2 + \frac{7}{8}) : \frac{23}{8}

2 + \frac{7}{8}

2 + \frac{7}{8} = \frac{23}{8}

2 + \frac{7}{8}

将项转换为分式:

2 = \frac{2 \cdot 8}{8}

= \frac{2 \cdot 8}{8} + \frac{7}{8}

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{2 \cdot 8 + 7}{8}

2 \cdot 8 + 7 = 23

2 \cdot 8 + 7

数字相乘:

2 \cdot 8 = 16

= 16 + 7

数字相加:

16 + 7 = 23

= 23

= \frac{23}{8}

= \frac{23}{8}

= \frac{23}{8} \div (2 - \frac{1}{9})

计算括号内的值

(2 - \frac{1}{9}) : \frac{17}{9}

2 - \frac{1}{9}

2 - \frac{1}{9} = \frac{17}{9}

2 - \frac{1}{9}

将项转换为分式:

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

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

2 \cdot 9 - 1 = 17

2 \cdot 9 - 1

数字相乘:

2 \cdot 9 = 18

= 18 - 1

数字相减:

18 - 1 = 17

= 17

= \frac{17}{9}

= \frac{17}{9}

= \frac{23}{8} \div \frac{17}{9}

乘除（左右）

\frac{23}{8} \div \frac{17}{9} : \frac{207}{136}

\frac{23}{8} \div \frac{17}{9}

使用分式法则:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{23}{8} \cdot \frac{9}{17}

分式相乘:

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

= \frac{23 \cdot 9}{8 \cdot 17}

数字相乘:

23 \cdot 9 = 207

= \frac{207}{8 \cdot 17}

数字相乘:

8 \cdot 17 = 136

= \frac{207}{136}

= \frac{207}{136}

将假分式转换为带分数:

\frac{207}{136} = 1 \frac{71}{136}

\frac{207}{136} = 1

余数

71

\frac{207}{136}

将问题写为长除法形式

136 \overline{∣ 207}

将

207

除以

136

以得到

1

将

207

除以

136

以得到

1

1 136 \overline{∣ 207}

将商数

(1)

乘以除数

136

1 136 \overline{∣ 207} \underline{136}

从

207

减去

136

1 136 \overline{∣ 207} \underline{136} 71

1 136 \overline{∣ 207} \underline{136} 71

长除

\frac{207}{136}

的解是

1

，余数是

71

1 余数 71

转换为带分数: 商

\frac{余数}{除数}

\frac{207}{136} = 1 \frac{71}{136}

= 1 \frac{71}{136}

= 1 \frac{71}{136}

流行的例子

(-20\div 12)\div 4

(- 20 \div 12) \div 4

-14\div (-7)-8*2+3^3

- 14 \div (- 7) - 8 \cdot 2 + 3^{3}

(6-4)× 49\div 7

(6 - 4) \times 49 \div 7

\frac{1}{2} \cdot 3^{0}

6 4^{3} + 125