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受欢迎的初等代数 >

(3+1/4)(1-4/5)

解答

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

解答

\frac{13}{20}

+1

十进制

0.65

求解步骤

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

遵循 PEMDAS 运算顺序

计算括号内的值

(3 + \frac{1}{4}) : \frac{13}{4}

3 + \frac{1}{4}

3 + \frac{1}{4} = \frac{13}{4}

3 + \frac{1}{4}

将项转换为分式:

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

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

3 \cdot 4 + 1 = 13

3 \cdot 4 + 1

数字相乘:

3 \cdot 4 = 12

= 12 + 1

数字相加:

12 + 1 = 13

= 13

= \frac{13}{4}

= \frac{13}{4}

= \frac{13}{4} (1 - \frac{4}{5})

计算括号内的值

(1 - \frac{4}{5}) : \frac{1}{5}

1 - \frac{4}{5}

1 - \frac{4}{5} = \frac{1}{5}

1 - \frac{4}{5}

将项转换为分式:

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

= \frac{1 \cdot 5}{5} - \frac{4}{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{1 \cdot 5 - 4}{5}

1 \cdot 5 - 4 = 1

1 \cdot 5 - 4

数字相乘:

1 \cdot 5 = 5

= 5 - 4

数字相减:

5 - 4 = 1

= 1

= \frac{1}{5}

= \frac{1}{5}

= \frac{13}{4} \cdot \frac{1}{5}

乘除（左右）

\frac{13}{4} \cdot \frac{1}{5} : \frac{13}{20}

\frac{13}{4} \cdot \frac{1}{5}

使用分式法则:

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

= \frac{13 \cdot 1}{4 \cdot 5}

数字相乘:

13 \cdot 1 = 13

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

数字相乘:

4 \cdot 5 = 20

= \frac{13}{20}

= \frac{13}{20}

流行的例子

1^{2} - 4

1^{2} + 1

1 2^{2} + 9^{2}

3 (0)^{2}

350-2-125+4-(31-30)-(7-1)-(5-4+1)

350 - 2 - 125 + 4 - (31 - 30) - (7 - 1) - (5 - 4 + 1)