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受欢迎的初等代数 >

36\div 7+5-12

解答

36 \div 7 + 5 - 12

解答

- \frac{13}{7}

+1

十进制

- 1.85714 \dots

求解步骤

36 \div 7 + 5 - 12

遵循 PEMDAS 运算顺序

乘除（左右）

36 \div 7 : \frac{36}{7}

36 \div 7

36 \div 7 = \frac{36}{7}

= \frac{36}{7}

= \frac{36}{7} + 5 - 12

加减（左右）

\frac{36}{7} + 5 - 12 : - \frac{13}{7}

\frac{36}{7} + 5 - 12

\frac{36}{7} + 5 = \frac{71}{7}

\frac{36}{7} + 5

将项转换为分式:

5 = \frac{5 \cdot 7}{7}

= \frac{5 \cdot 7}{7} + \frac{36}{7}

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{5 \cdot 7 + 36}{7}

5 \cdot 7 + 36 = 71

5 \cdot 7 + 36

数字相乘:

5 \cdot 7 = 35

= 35 + 36

数字相加:

35 + 36 = 71

= 71

= \frac{71}{7}

= \frac{71}{7} - 12

\frac{71}{7} - 12 = - \frac{13}{7}

\frac{71}{7} - 12

将项转换为分式:

12 = \frac{12 \cdot 7}{7}

= - \frac{12 \cdot 7}{7} + \frac{71}{7}

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{- 12 \cdot 7 + 71}{7}

- 12 \cdot 7 + 71 = - 13

- 12 \cdot 7 + 71

数字相乘:

12 \cdot 7 = 84

= - 84 + 71

数字相加/相减:

- 84 + 71 = - 13

= - 13

= \frac{- 13}{7}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{13}{7}

= - \frac{13}{7}

= - \frac{13}{7}

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19 + 15 - 18 - 10 + 4 - 7 + 9

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\frac{4 ^{2} - 16}{4 - 4}

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