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受欢迎的初等代数 >

5/8 \div (2-1 1/6)

解答

\frac{5}{8} \div (2 - 1 \frac{1}{6})

解答

\frac{3}{4}

+1

十进制

0.75

求解步骤

\frac{5}{8} \div (2 - 1 \frac{1}{6})

将带分数转换为假分式:

1 \frac{1}{6} = \frac{7}{6}

1 \frac{1}{6}

将带分数转换为假分式:

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

1 \frac{1}{6} = \frac{1 \cdot 6 + 1}{6}

= \frac{7}{6}

= \frac{5}{8} \div (2 - \frac{7}{6})

遵循 PEMDAS 运算顺序

计算括号内的值

(2 - \frac{7}{6}) : \frac{5}{6}

2 - \frac{7}{6}

2 - \frac{7}{6} = \frac{5}{6}

2 - \frac{7}{6}

将项转换为分式:

2 = \frac{2 \cdot 6}{6}

= \frac{2 \cdot 6}{6} - \frac{7}{6}

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{2 \cdot 6 - 7}{6}

2 \cdot 6 - 7 = 5

2 \cdot 6 - 7

数字相乘:

2 \cdot 6 = 12

= 12 - 7

数字相减:

12 - 7 = 5

= 5

= \frac{5}{6}

= \frac{5}{6}

= \frac{5}{8} \div \frac{5}{6}

乘除（左右）

\frac{5}{8} \div \frac{5}{6} : \frac{3}{4}

\frac{5}{8} \div \frac{5}{6}

使用分式法则:

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

= \frac{5}{8} \cdot \frac{6}{5}

分式相乘:

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

= \frac{5 \cdot 6}{8 \cdot 5}

约分:

5

= \frac{6}{8}

约分:

2

= \frac{3}{4}

= \frac{3}{4}

流行的例子

9 - 7 + 5

2 \cdot 0 - 7

2 (- 6) - 9 (- 3)

2 \cdot 1 + 1

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