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受欢迎的初等代数 >

8/12× 6/9× 5/8

解答

8/12 \times 6/9 \times 5/8

解答

\frac{5}{18}

+1

十进制

0.27777 \dots

求解步骤

8/12 \times 6/9 \times 5/8

遵循 PEMDAS 运算顺序

乘除（左右）

8/12 = \frac{8}{12}

= \frac{8}{12} \times 6/9 \times 5/8

\frac{8}{12} \times 6 = 4

\frac{8}{12} \cdot 6

消掉

\frac{8}{12} : \frac{2}{3}

\frac{8}{12}

因式分解数字:

8 = 4 \cdot 2

= \frac{4 \cdot 2}{12}

因式分解数字:

12 = 4 \cdot 3

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

约分:

4

= \frac{2}{3}

= \frac{2}{3} \cdot 6

\frac{2}{3} \cdot 6 = 4

\frac{2}{3} \cdot 6

将项转换为分式:

6 = \frac{6}{1}

= \frac{2}{3} \cdot \frac{6}{1}

使用分式法则:

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

= \frac{2 \cdot 6}{3 \cdot 1}

消掉

\frac{2 \cdot 6}{3 \cdot 1} : 4

\frac{2 \cdot 6}{3 \cdot 1}

数字相乘:

3 \cdot 1 = 3

= \frac{2 \cdot 6}{3}

数字相除:

\frac{6}{3} = 2

= 2 \cdot 2

数字相乘:

2 \cdot 2 = 4

= 4

= 4

= 4

= 4/9 \times 5/8

4/9 = \frac{4}{9}

= \frac{4}{9} \times 5/8

\frac{4}{9} \times 5 = \frac{20}{9}

\frac{4}{9} \cdot 5

将项转换为分式:

5 = \frac{5}{1}

= \frac{4}{9} \cdot \frac{5}{1}

使用分式法则:

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

= \frac{4 \cdot 5}{9 \cdot 1}

数字相乘:

4 \cdot 5 = 20

= \frac{20}{9 \cdot 1}

数字相乘:

9 \cdot 1 = 9

= \frac{20}{9}

= \frac{20}{9} /8

\frac{20}{9} /8 = \frac{5}{18}

\frac{20}{9} /8

将项转换为分式:

8 = \frac{8}{1}

= \frac{20}{9} \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{20}{9} \cdot \frac{1}{8}

交叉约去公约数:

4

20, 8

最大公约数 (GCD)

20

质因数分解:

2 \cdot 2 \cdot 5

20

20

除以

220 = 10 \cdot 2

= 2 \cdot 10

10

除以

210 = 5 \cdot 2

= 2 \cdot 2 \cdot 5

2, 5

都是质数，因此无法进一步因数分解

= 2 \cdot 2 \cdot 5

8

质因数分解:

2 \cdot 2 \cdot 2

8

8

除以

28 = 4 \cdot 2

= 2 \cdot 4

4

除以

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

20, 8

的共同质因数是

= 2 \cdot 2

数字相乘:

2 \cdot 2 = 4

= 4

= \frac{5}{9} \cdot \frac{1}{2}

分式相乘:

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

= \frac{5 \cdot 1}{9 \cdot 2}

数字相乘:

5 \cdot 1 = 5

= \frac{5}{9 \cdot 2}

数字相乘:

9 \cdot 2 = 18

= \frac{5}{18}

= \frac{5}{18}

流行的例子

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0 \times 0 - 3

8-(5-4(-6+7(5-2)-3))

8 - (5 - 4 (- 6 + 7 (5 - 2) - 3))

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