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受欢迎的初等代数 >

2 4/9*5\div 1 3/4

解答

2 \frac{4}{9} \cdot 5 \div 1 \frac{3}{4}

解答

6 \frac{62}{63}

+1

十进制

6.98412 \dots

求解步骤

2 \frac{4}{9} \cdot 5 \div 1 \frac{3}{4}

将带分数转换为假分式:

2 \frac{4}{9} = \frac{22}{9}

2 \frac{4}{9}

将带分数转换为假分式:

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

2 \frac{4}{9} = \frac{2 \cdot 9 + 4}{9}

= \frac{22}{9}

= \frac{22}{9} \cdot 5 \div 1 \frac{3}{4}

将带分数转换为假分式:

1 \frac{3}{4} = \frac{7}{4}

1 \frac{3}{4}

将带分数转换为假分式:

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

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

= \frac{7}{4}

= \frac{22}{9} \cdot 5 \div \frac{7}{4}

遵循 PEMDAS 运算顺序

乘除（左右）

\frac{22}{9} \cdot 5 \div \frac{7}{4} : \frac{440}{63}

\frac{22}{9} \cdot 5 \div \frac{7}{4}

\frac{22}{9} \cdot 5 = \frac{110}{9}

\frac{22}{9} \cdot 5

将项转换为分式:

5 = \frac{5}{1}

= \frac{22}{9} \cdot \frac{5}{1}

使用分式法则:

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

= \frac{22 \cdot 5}{9 \cdot 1}

数字相乘:

22 \cdot 5 = 110

= \frac{110}{9 \cdot 1}

数字相乘:

9 \cdot 1 = 9

= \frac{110}{9}

= \frac{110}{9} \div \frac{7}{4}

\frac{110}{9} \div \frac{7}{4} = \frac{440}{63}

\frac{110}{9} \div \frac{7}{4}

使用分式法则:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{110}{9} \cdot \frac{4}{7}

分式相乘:

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

= \frac{110 \cdot 4}{9 \cdot 7}

数字相乘:

110 \cdot 4 = 440

= \frac{440}{9 \cdot 7}

数字相乘:

9 \cdot 7 = 63

= \frac{440}{63}

= \frac{440}{63}

= \frac{440}{63}

将假分式转换为带分数:

\frac{440}{63} = 6 \frac{62}{63}

\frac{440}{63} = 6

余数

62

\frac{440}{63}

将问题写为长除法形式

63 \overline{∣ 440}

将

440

除以

63

以得到

6

将

440

除以

63

以得到

6

6 63 \overline{∣ 440}

将商数

(6)

乘以除数

63

6 63 \overline{∣ 440} \underline{378}

从

440

减去

378

6 63 \overline{∣ 440} \underline{378} 62

6 63 \overline{∣ 440} \underline{378} 62

长除

\frac{440}{63}

的解是

6

，余数是

62

6 余数 62

转换为带分数: 商

\frac{余数}{除数}

\frac{440}{63} = 6 \frac{62}{63}

= 6 \frac{62}{63}

= 6 \frac{62}{63}

流行的例子

-20-(-21)-(-20)+7

18-7+12+25-8-14

化简 12/20 × 15/25