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受欢迎的初等代数 >

(2+1 1/5)× 1/8

解答

(2 + 1 \frac{1}{5}) \cdot \frac{1}{8}

解答

\frac{2}{5}

+1

十进制

0.4

求解步骤

(2 + 1 \frac{1}{5}) \cdot \frac{1}{8}

将带分数转换为假分式:

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

1 \frac{1}{5}

将带分数转换为假分式:

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

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

= \frac{6}{5}

= (2 + \frac{6}{5}) \cdot \frac{1}{8}

遵循 PEMDAS 运算顺序

计算括号内的值

(2 + \frac{6}{5}) : \frac{16}{5}

2 + \frac{6}{5}

2 + \frac{6}{5} = \frac{16}{5}

2 + \frac{6}{5}

将项转换为分式:

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

= \frac{2 \cdot 5}{5} + \frac{6}{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{2 \cdot 5 + 6}{5}

2 \cdot 5 + 6 = 16

2 \cdot 5 + 6

数字相乘:

2 \cdot 5 = 10

= 10 + 6

数字相加:

10 + 6 = 16

= 16

= \frac{16}{5}

= \frac{16}{5}

= \frac{16}{5} \cdot \frac{1}{8}

乘除（左右）

\frac{16}{5} \cdot \frac{1}{8} : \frac{2}{5}

\frac{16}{5} \cdot \frac{1}{8}

使用分式法则:

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

= \frac{16 \cdot 1}{5 \cdot 8}

\frac{16 \cdot 1}{5 \cdot 8} = \frac{2}{5}

\frac{16 \cdot 1}{5 \cdot 8}

数字相乘:

16 \cdot 1 = 16

= \frac{16}{5 \cdot 8}

因式分解数字:

16 = 8 \cdot 2

= \frac{8 \cdot 2}{5 \cdot 8}

约分:

8

= \frac{2}{5}

= \frac{2}{5}

= \frac{2}{5}

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