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受欢迎的初等代数 >

化简 (3/4)/((1/2+5/8-3/4))+5/3

解答

化简

\frac{\frac{3}{4}}{( \frac{1}{2} + \frac{5}{8} - \frac{3}{4} )} + \frac{5}{3}

解答

\frac{11}{3}

+1

十进制

3.66666 \dots

求解步骤

\frac{\frac{3}{4}}{\frac{1}{2} + \frac{5}{8} - \frac{3}{4}} + \frac{5}{3}

\frac{\frac{3}{4}}{\frac{1}{2} + \frac{5}{8} - \frac{3}{4}} = \frac{6}{3}

\frac{\frac{3}{4}}{\frac{1}{2} + \frac{5}{8} - \frac{3}{4}}

使用分式法则:

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

= \frac{3}{4 ( \frac{1}{2} + \frac{5}{8} - \frac{3}{4} )}

化简

4 (\frac{1}{2} + \frac{5}{8} - \frac{3}{4}) : \frac{3}{2}

4 (\frac{1}{2} + \frac{5}{8} - \frac{3}{4})

\frac{1}{2} + \frac{5}{8} - \frac{3}{4} = \frac{3}{8}

\frac{1}{2} + \frac{5}{8} - \frac{3}{4}

2, 8, 4

的最小公倍数:

8

2, 8, 4

最小公倍数 (LCM)

2

质因数分解:

2

2

2

是质数，因此无法因数分解

= 2

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

4

质因数分解:

2 \cdot 2

4

4

除以

24 = 2 \cdot 2

= 2 \cdot 2

计算出由至少在以下一个数字中出现的因数组成的数字:

2, 8, 4

= 2 \cdot 2 \cdot 2

数字相乘:

2 \cdot 2 \cdot 2 = 8

= 8

根据最小公倍数调整分式

将每个分子乘以其分母转变为最小公倍数所要乘以的同一数值

8

对于

\frac{1}{2} :

将分母和分子乘以

4

\frac{1}{2} = \frac{1 \cdot 4}{2 \cdot 4} = \frac{4}{8}

对于

\frac{3}{4} :

将分母和分子乘以

2

\frac{3}{4} = \frac{3 \cdot 2}{4 \cdot 2} = \frac{6}{8}

= \frac{4}{8} + \frac{5}{8} - \frac{6}{8}

使用分式法则:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{4 + 5 - 6}{8}

数字相加:

4 + 5 - 6 = 3

= \frac{3}{8}

= 4 \cdot \frac{3}{8}

4 \cdot \frac{3}{8} = \frac{3}{2}

4 \cdot \frac{3}{8}

4 \cdot \frac{3}{8} = \frac{12}{8}

4 \cdot \frac{3}{8}

将项转换为分式:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{3}{8}

使用分式法则:

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

= \frac{4 \cdot 3}{1 \cdot 8}

数字相乘:

4 \cdot 3 = 12

= \frac{12}{1 \cdot 8}

数字相乘:

1 \cdot 8 = 8

= \frac{12}{8}

= \frac{12}{8}

因式分解数字:

12 = 4 \cdot 3

= \frac{4 \cdot 3}{8}

因式分解数字:

8 = 4 \cdot 2

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

约分:

4

= \frac{3}{2}

= \frac{3}{2}

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

使用分式法则:

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

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

数字相乘:

3 \cdot 2 = 6

= \frac{6}{3}

= \frac{6}{3} + \frac{5}{3}

\frac{6}{3} + \frac{5}{3} = \frac{11}{3}

\frac{6}{3} + \frac{5}{3}

使用分式法则:

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

= \frac{6 + 5}{3}

数字相加:

6 + 5 = 11

= \frac{11}{3}

= \frac{11}{3}

流行的例子

1/6 (16+9+0+1+4+6)

\frac{1}{6} (16 + 9 + 0 + 1 + 4 + 6)

0 - 5 (10)

4^{2} + 9 \cdot 3

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

20 - 20 \div 2 + 5