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受欢迎的初等代数 >

(8-1 1/4)\div (3-3/16)

解答

(8 - 1 \frac{1}{4}) \div (3 - \frac{3}{16})

解答

2 \frac{2}{5}

+1

十进制

2.4

求解步骤

(8 - 1 \frac{1}{4}) \div (3 - \frac{3}{16})

将带分数转换为假分式:

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

1 \frac{1}{4}

将带分数转换为假分式:

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

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

= \frac{5}{4}

= (8 - \frac{5}{4}) \div (3 - \frac{3}{16})

遵循 PEMDAS 运算顺序

计算括号内的值

(8 - \frac{5}{4}) : \frac{27}{4}

8 - \frac{5}{4}

8 - \frac{5}{4} = \frac{27}{4}

8 - \frac{5}{4}

将项转换为分式:

8 = \frac{8 \cdot 4}{4}

= \frac{8 \cdot 4}{4} - \frac{5}{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{8 \cdot 4 - 5}{4}

8 \cdot 4 - 5 = 27

8 \cdot 4 - 5

数字相乘:

8 \cdot 4 = 32

= 32 - 5

数字相减:

32 - 5 = 27

= 27

= \frac{27}{4}

= \frac{27}{4}

= \frac{27}{4} \div (3 - \frac{3}{16})

计算括号内的值

(3 - \frac{3}{16}) : \frac{45}{16}

3 - \frac{3}{16}

3 - \frac{3}{16} = \frac{45}{16}

3 - \frac{3}{16}

将项转换为分式:

3 = \frac{3 \cdot 16}{16}

= \frac{3 \cdot 16}{16} - \frac{3}{16}

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 16 - 3}{16}

3 \cdot 16 - 3 = 45

3 \cdot 16 - 3

数字相乘:

3 \cdot 16 = 48

= 48 - 3

数字相减:

48 - 3 = 45

= 45

= \frac{45}{16}

= \frac{45}{16}

= \frac{27}{4} \div \frac{45}{16}

乘除（左右）

\frac{27}{4} \div \frac{45}{16} : \frac{12}{5}

\frac{27}{4} \div \frac{45}{16}

使用分式法则:

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

= \frac{27}{4} \cdot \frac{16}{45}

分式相乘:

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

= \frac{27 \cdot 16}{4 \cdot 45}

数字相乘:

27 \cdot 16 = 432

= \frac{432}{4 \cdot 45}

数字相乘:

4 \cdot 45 = 180

= \frac{432}{180}

约分:

36

= \frac{12}{5}

= \frac{12}{5}

将假分式转换为带分数:

\frac{12}{5} = 2 \frac{2}{5}

\frac{12}{5} = 2

余数

2

\frac{12}{5}

将问题写为长除法形式

5 \overline{∣ 12}

将

12

除以

5

以得到

2

将

12

除以

5

以得到

2

2 5 \overline{∣ 12}

将商数

(2)

乘以除数

5

2 5 \overline{∣ 12} \underline{10}

从

12

减去

10

2 5 \overline{∣ 12} \underline{10} 2

2 5 \overline{∣ 12} \underline{10} 2

长除

\frac{12}{5}

的解是

2

，余数是

2

2 余数 2

转换为带分数: 商

\frac{余数}{除数}

\frac{12}{5} = 2 \frac{2}{5}

= 2 \frac{2}{5}

= 2 \frac{2}{5}

流行的例子

14 + (+ 12 - 10)

(-1)^3+2(-1)^2-5(-1)-6

(- 1)^{3} + 2 (- 1)^{2} - 5 (- 1) - 6

(3+2)^2× (1+4)^2

(3 + 2)^{2} \times (1 + 4)^{2}

2 (0)^{2} - 5

2 (0)^{2} - 9