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受欢迎的初等代数 >

(6-3/5)\div 5 1/2

解答

(6 - \frac{3}{5}) \div 5 \frac{1}{2}

解答

\frac{54}{55}

+1

十进制

0.98181 \dots

求解步骤

(6 - \frac{3}{5}) \div 5 \frac{1}{2}

将带分数转换为假分式:

5 \frac{1}{2} = \frac{11}{2}

5 \frac{1}{2}

将带分数转换为假分式:

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

5 \frac{1}{2} = \frac{5 \cdot 2 + 1}{2}

= \frac{11}{2}

= (6 - \frac{3}{5}) \div \frac{11}{2}

遵循 PEMDAS 运算顺序

计算括号内的值

(6 - \frac{3}{5}) : \frac{27}{5}

6 - \frac{3}{5}

6 - \frac{3}{5} = \frac{27}{5}

6 - \frac{3}{5}

将项转换为分式:

6 = \frac{6 \cdot 5}{5}

= \frac{6 \cdot 5}{5} - \frac{3}{5}

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{6 \cdot 5 - 3}{5}

6 \cdot 5 - 3 = 27

6 \cdot 5 - 3

数字相乘:

6 \cdot 5 = 30

= 30 - 3

数字相减:

30 - 3 = 27

= 27

= \frac{27}{5}

= \frac{27}{5}

= \frac{27}{5} \div \frac{11}{2}

乘除（左右）

\frac{27}{5} \div \frac{11}{2} : \frac{54}{55}

\frac{27}{5} \div \frac{11}{2}

使用分式法则:

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

= \frac{27}{5} \cdot \frac{2}{11}

分式相乘:

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

= \frac{27 \cdot 2}{5 \cdot 11}

数字相乘:

27 \cdot 2 = 54

= \frac{54}{5 \cdot 11}

数字相乘:

5 \cdot 11 = 55

= \frac{54}{55}

= \frac{54}{55}

流行的例子

7-(-12)\div (-3)+2^2

7 - (- 12) \div (- 3) + 2^{2}

(12-42-52)× 1/6

(12 - 42 - 52) \times \frac{1}{6}

[-7+(-3)*(-4)]*[5-6\div (+2)]-11

[- 7 + (- 3) \cdot (- 4)] \cdot [5 - 6 \div (+ 2)] - 11

10/5-10/2 (4-6)

\frac{10}{5} - \frac{10}{2} (4 - 6)

3 \times 2^{5}