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受欢迎的初等代数 >

(4+2 3/5)× 1/66

解答

(4 + 2 \frac{3}{5}) \cdot \frac{1}{66}

解答

\frac{1}{10}

+1

十进制

0.1

求解步骤

(4 + 2 \frac{3}{5}) \cdot \frac{1}{66}

将带分数转换为假分式:

2 \frac{3}{5} = \frac{13}{5}

2 \frac{3}{5}

将带分数转换为假分式:

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

2 \frac{3}{5} = \frac{2 \cdot 5 + 3}{5}

= \frac{13}{5}

= (4 + \frac{13}{5}) \cdot \frac{1}{66}

遵循 PEMDAS 运算顺序

计算括号内的值

(4 + \frac{13}{5}) : \frac{33}{5}

4 + \frac{13}{5}

4 + \frac{13}{5} = \frac{33}{5}

4 + \frac{13}{5}

将项转换为分式:

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

= \frac{4 \cdot 5}{5} + \frac{13}{5}

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{4 \cdot 5 + 13}{5}

4 \cdot 5 + 13 = 33

4 \cdot 5 + 13

数字相乘:

4 \cdot 5 = 20

= 20 + 13

数字相加:

20 + 13 = 33

= 33

= \frac{33}{5}

= \frac{33}{5}

= \frac{33}{5} \cdot \frac{1}{66}

乘除（左右）

\frac{33}{5} \cdot \frac{1}{66} : \frac{1}{10}

\frac{33}{5} \cdot \frac{1}{66}

使用分式法则:

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

= \frac{33 \cdot 1}{5 \cdot 66}

消掉

\frac{33 \cdot 1}{5 \cdot 66} : \frac{1}{10}

\frac{33 \cdot 1}{5 \cdot 66}

数字相乘:

33 \cdot 1 = 33

= \frac{33}{5 \cdot 66}

对数字约分

\frac{33}{66} = \frac{1}{2}

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

数字相乘:

5 \cdot 2 = 10

= \frac{1}{10}

= \frac{1}{10}

= \frac{1}{10}

流行的例子

4 + (- 3) - (- 7)

(4+3)-(3× 2)+1

(4 + 3) - (3 \times 2) + 1

4^{2} - 10 \div 2

-5-(-5)+5× 5\div 5+5

- 5 - (- 5) + 5 \times 5 \div 5 + 5

800+(20-3× 4+5[18-(6-1)3+(5-2)4])

800 + (20 - 3 \times 4 + 5 [18 - (6 - 1) 3 + (5 - 2) 4])