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受欢迎的初等代数 >

(60-1/8)\div (30-1/16)

解答

(60 - \frac{1}{8}) \div (30 - \frac{1}{16})

解答

2

求解步骤

(60 - \frac{1}{8}) \div (30 - \frac{1}{16})

遵循 PEMDAS 运算顺序

计算括号内的值

(60 - \frac{1}{8}) : \frac{479}{8}

60 - \frac{1}{8}

60 - \frac{1}{8} = \frac{479}{8}

60 - \frac{1}{8}

将项转换为分式:

60 = \frac{60 \cdot 8}{8}

= \frac{60 \cdot 8}{8} - \frac{1}{8}

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{60 \cdot 8 - 1}{8}

60 \cdot 8 - 1 = 479

60 \cdot 8 - 1

数字相乘:

60 \cdot 8 = 480

= 480 - 1

数字相减:

480 - 1 = 479

= 479

= \frac{479}{8}

= \frac{479}{8}

= \frac{479}{8} \div (30 - \frac{1}{16})

计算括号内的值

(30 - \frac{1}{16}) : \frac{479}{16}

30 - \frac{1}{16}

30 - \frac{1}{16} = \frac{479}{16}

30 - \frac{1}{16}

将项转换为分式:

30 = \frac{30 \cdot 16}{16}

= \frac{30 \cdot 16}{16} - \frac{1}{16}

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{30 \cdot 16 - 1}{16}

30 \cdot 16 - 1 = 479

30 \cdot 16 - 1

数字相乘:

30 \cdot 16 = 480

= 480 - 1

数字相减:

480 - 1 = 479

= 479

= \frac{479}{16}

= \frac{479}{16}

= \frac{479}{8} \div \frac{479}{16}

乘除（左右）

\frac{479}{8} \div \frac{479}{16} : 2

\frac{479}{8} \div \frac{479}{16}

使用分式法则:

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

= \frac{479}{8} \cdot \frac{16}{479}

分式相乘:

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

= \frac{479 \cdot 16}{8 \cdot 479}

约分:

479

= \frac{16}{8}

数字相除:

\frac{16}{8} = 2

= 2

= 2

流行的例子

- 5 + 4 - 2 + 8

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

- 2^{3} + 1

3^{2} + 4

6 \div 9 + 5 \times 6