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受欢迎的初等代数 >

2\div 3\div 4\div 5\div 6\div 8

解答

2 \div 3 \div 4 \div 5 \div 6 \div 8

解答

\frac{1}{1440}

+1

十进制

0.00069 \dots

求解步骤

2 \div 3 \div 4 \div 5 \div 6 \div 8

遵循 PEMDAS 运算顺序

乘除（左右）

2 \div 3 = \frac{2}{3}

= \frac{2}{3} \div 4 \div 5 \div 6 \div 8

\frac{2}{3} \div 4 = \frac{1}{6}

\frac{2}{3} \div 4

将项转换为分式:

4 = \frac{4}{1}

= \frac{2}{3} \div \frac{4}{1}

使用分式法则:

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

= \frac{2}{3} \cdot \frac{1}{4}

交叉约去公约数:

2

2, 4

最大公约数 (GCD)

2

质因数分解:

2

2

2

是质数，因此无法因数分解

= 2

4

质因数分解:

2 \cdot 2

4

4

除以

24 = 2 \cdot 2

= 2 \cdot 2

2, 4

的共同质因数是

= 2

= \frac{1}{3} \cdot \frac{1}{2}

分式相乘:

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

= \frac{1 \cdot 1}{3 \cdot 2}

数字相乘:

1 \cdot 1 = 1

= \frac{1}{3 \cdot 2}

数字相乘:

3 \cdot 2 = 6

= \frac{1}{6}

= \frac{1}{6} \div 5 \div 6 \div 8

\frac{1}{6} \div 5 = \frac{1}{30}

\frac{1}{6} \div 5

将项转换为分式:

5 = \frac{5}{1}

= \frac{1}{6} \div \frac{5}{1}

使用分式法则:

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

= \frac{1}{6} \cdot \frac{1}{5}

分式相乘:

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

= \frac{1 \cdot 1}{6 \cdot 5}

数字相乘:

1 \cdot 1 = 1

= \frac{1}{6 \cdot 5}

数字相乘:

6 \cdot 5 = 30

= \frac{1}{30}

= \frac{1}{30} \div 6 \div 8

\frac{1}{30} \div 6 = \frac{1}{180}

\frac{1}{30} \div 6

将项转换为分式:

6 = \frac{6}{1}

= \frac{1}{30} \div \frac{6}{1}

使用分式法则:

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

= \frac{1}{30} \cdot \frac{1}{6}

分式相乘:

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

= \frac{1 \cdot 1}{30 \cdot 6}

数字相乘:

1 \cdot 1 = 1

= \frac{1}{30 \cdot 6}

数字相乘:

30 \cdot 6 = 180

= \frac{1}{180}

= \frac{1}{180} \div 8

\frac{1}{180} \div 8 = \frac{1}{1440}

\frac{1}{180} \div 8

将项转换为分式:

8 = \frac{8}{1}

= \frac{1}{180} \div \frac{8}{1}

使用分式法则:

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

= \frac{1}{180} \cdot \frac{1}{8}

分式相乘:

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

= \frac{1 \cdot 1}{180 \cdot 8}

数字相乘:

1 \cdot 1 = 1

= \frac{1}{180 \cdot 8}

数字相乘:

180 \cdot 8 = 1440

= \frac{1}{1440}

= \frac{1}{1440}

流行的例子

(-1)^{12}+(-1)^{25}-(-1)^{19}-(+1)^{32}

(- 1)^{12} + (- 1)^{25} - (- 1)^{19} - (+ 1)^{32}

(- 5 - 5)^{2}

(6\div 19)-(5\div 7)

(6 \div 19) - (5 \div 7)

2 5^{2} \div 7^{2}

14 (- 8)^{2} + 6