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受欢迎的初等代数 >

(51+78)\div 32× (2-20)

解答

(51 + 78) \div 32 \times (2 - 20)

解答

- \frac{1161}{16}

+1

十进制

- 72.5625

求解步骤

(51 + 78) \div 32 \times (2 - 20)

遵循 PEMDAS 运算顺序

计算括号内的值

(51 + 78) : 129

51 + 78

51 + 78 = 129

= 129

= 129 \div 32 \times (2 - 20)

计算括号内的值

(2 - 20) : - 18

2 - 20

2 - 20 = - 18

= - 18

= 129 \div 32 \times (- 18)

乘除（左右）

129 \div 32 \times (- 18) : - \frac{1161}{16}

129 \div 32 \times (- 18)

129 \div 32 = \frac{129}{32}

= \frac{129}{32} \times (- 18)

\frac{129}{32} \times (- 18) = - \frac{1161}{16}

\frac{129}{32} \times (- 18)

使用法则

a \times (- b) = - a \times b

\frac{129}{32} \times (- 18) = - \frac{129}{32} \times 18

将项转换为分式:

18 = \frac{18}{1}

= - \frac{129}{32} \cdot \frac{18}{1}

使用分式法则:

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

\frac{129}{32} \cdot \frac{18}{1} = \frac{129 \cdot 18}{32 \cdot 1}

= - \frac{129 \cdot 18}{32 \cdot 1}

消掉

\frac{129 \cdot 18}{32 \cdot 1} : \frac{1161}{16}

\frac{129 \cdot 18}{32 \cdot 1}

数字相乘:

32 \cdot 1 = 32

= \frac{129 \cdot 18}{32}

因式分解数字:

18 = 2 \cdot 9

= \frac{129 \cdot 2 \cdot 9}{32}

因式分解数字:

32 = 2 \cdot 16

= \frac{129 \cdot 2 \cdot 9}{2 \cdot 16}

约分:

2

= \frac{129 \cdot 9}{16}

数字相乘:

129 \cdot 9 = 1161

= \frac{1161}{16}

= - \frac{1161}{16}

= - \frac{1161}{16}

= - \frac{1161}{16}

流行的例子

(5^{2} \cdot 2^{3})^{4}

75 - 5 (2 \times 6)

- 7 (- 1)^{2} + 2

4^{3} - 2 (1)

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