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受欢迎的初等代数 >

[3-2*(1-1/2)]\div 1/2

解答

[3 - 2 \cdot (1 - \frac{1}{2})] \div \frac{1}{2}

解答

4

求解步骤

[3 - 2 (1 - \frac{1}{2})] \div \frac{1}{2}

遵循 PEMDAS 运算顺序

计算括号内的值

[3 - 2 \cdot (1 - \frac{1}{2})] : 2

3 - 2 (1 - \frac{1}{2})

计算括号内的值

(1 - \frac{1}{2}) : \frac{1}{2}

1 - \frac{1}{2}

1 - \frac{1}{2} = \frac{1}{2}

1 - \frac{1}{2}

将项转换为分式:

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

= \frac{1 \cdot 2}{2} - \frac{1}{2}

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 2 - 1}{2}

1 \cdot 2 - 1 = 1

1 \cdot 2 - 1

数字相乘:

1 \cdot 2 = 2

= 2 - 1

数字相减:

2 - 1 = 1

= 1

= \frac{1}{2}

= \frac{1}{2}

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

乘除（左右）

2 \cdot \frac{1}{2} : 1

2 \cdot \frac{1}{2}

将项转换为分式:

2 = \frac{2}{1}

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

交叉约去公约数:

2

= 1

= 3 - 1

加减（左右）

3 - 1 : 2

3 - 1

3 - 1 = 2

= 2

= 2

= 2 \div \frac{1}{2}

乘除（左右）

2 \div \frac{1}{2} : 4

2 \div \frac{1}{2}

将项转换为分式:

2 = \frac{2}{1}

= \frac{2}{1} \div \frac{1}{2}

使用分式法则:

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

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

使用法则

\frac{a}{1} = a

= 2 \cdot 2

数字相乘:

2 \cdot 2 = 4

= 4

= 4

流行的例子

(-5)-(-3)-(+7)+(-4)

(- 5) - (- 3) - (+ 7) + (- 4)

12 + 5 \times (4 - 2)

2 - 3 (46 - 2) + 8

4 5^{2} - 9

2 - \frac{1}{6} - 1 \frac{3}{4}