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受欢迎的初等代数 >

(3-2 1/4)× 2/7

解答

(3 - 2 \frac{1}{4}) \cdot \frac{2}{7}

解答

\frac{3}{14}

+1

十进制

0.21428 \dots

求解步骤

(3 - 2 \frac{1}{4}) \cdot \frac{2}{7}

将带分数转换为假分式:

2 \frac{1}{4} = \frac{9}{4}

2 \frac{1}{4}

将带分数转换为假分式:

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

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

= \frac{9}{4}

= (3 - \frac{9}{4}) \cdot \frac{2}{7}

遵循 PEMDAS 运算顺序

计算括号内的值

(3 - \frac{9}{4}) : \frac{3}{4}

3 - \frac{9}{4}

3 - \frac{9}{4} = \frac{3}{4}

3 - \frac{9}{4}

将项转换为分式:

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

= \frac{3 \cdot 4}{4} - \frac{9}{4}

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{3 \cdot 4 - 9}{4}

3 \cdot 4 - 9 = 3

3 \cdot 4 - 9

数字相乘:

3 \cdot 4 = 12

= 12 - 9

数字相减:

12 - 9 = 3

= 3

= \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4} \cdot \frac{2}{7}

乘除（左右）

\frac{3}{4} \cdot \frac{2}{7} : \frac{3}{14}

\frac{3}{4} \cdot \frac{2}{7}

使用分式法则:

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

= \frac{3 \cdot 2}{4 \cdot 7}

消掉

\frac{3 \cdot 2}{4 \cdot 7} : \frac{3}{14}

\frac{3 \cdot 2}{4 \cdot 7}

因式分解数字:

4 = 2 \cdot 2

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

约分:

2

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

数字相乘:

2 \cdot 7 = 14

= \frac{3}{14}

= \frac{3}{14}

= \frac{3}{14}

流行的例子

5 \times 4 - 2

(- 4 + 3)^{2}

1^{3} + 2

1^{3} + 8

7 \times (4 + 3) - 42