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受欢迎的初等代数 >

1/5 × (1+2 1/3)

解答

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

解答

\frac{2}{3}

+1

十进制

0.66666 \dots

求解步骤

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

将带分数转换为假分式:

2 \frac{1}{3} = \frac{7}{3}

2 \frac{1}{3}

将带分数转换为假分式:

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

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

= \frac{7}{3}

= \frac{1}{5} \cdot (1 + \frac{7}{3})

遵循 PEMDAS 运算顺序

计算括号内的值

(1 + \frac{7}{3}) : \frac{10}{3}

1 + \frac{7}{3}

1 + \frac{7}{3} = \frac{10}{3}

1 + \frac{7}{3}

将项转换为分式:

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

= \frac{1 \cdot 3}{3} + \frac{7}{3}

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{1 \cdot 3 + 7}{3}

1 \cdot 3 + 7 = 10

1 \cdot 3 + 7

数字相乘:

1 \cdot 3 = 3

= 3 + 7

数字相加:

3 + 7 = 10

= 10

= \frac{10}{3}

= \frac{10}{3}

= \frac{1}{5} \cdot \frac{10}{3}

乘除（左右）

\frac{1}{5} \cdot \frac{10}{3} : \frac{2}{3}

\frac{1}{5} \cdot \frac{10}{3}

使用分式法则:

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

= \frac{1 \cdot 10}{5 \cdot 3}

\frac{1 \cdot 10}{5 \cdot 3} = \frac{2}{3}

\frac{1 \cdot 10}{5 \cdot 3}

数字相乘:

1 \cdot 10 = 10

= \frac{10}{5 \cdot 3}

因式分解数字:

10 = 5 \cdot 2

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

约分:

5

= \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3}

流行的例子

30000-30× 6+5-9

30000 - 30 \times 6 + 5 - 9

(-3-1(-4+3)(-4)-2(-2-6)+15)/(-3)

\frac{- 3 - 1 ( - 4 + 3 ) ( - 4 ) - 2 ( - 2 - 6 ) + 15}{- 3}

- 2 (2)^{2} - 2

- 2 (2)^{2} + 3

3 (- 3) + 3