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受欢迎的初等代数 >

(1-5/7)*(2-3/5)

解答

(1 - \frac{5}{7}) \cdot (2 - \frac{3}{5})

解答

\frac{2}{5}

+1

十进制

0.4

求解步骤

(1 - \frac{5}{7}) (2 - \frac{3}{5})

遵循 PEMDAS 运算顺序

计算括号内的值

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

1 - \frac{5}{7}

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

1 - \frac{5}{7}

将项转换为分式:

1 = \frac{1 \cdot 7}{7}

= \frac{1 \cdot 7}{7} - \frac{5}{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{1 \cdot 7 - 5}{7}

1 \cdot 7 - 5 = 2

1 \cdot 7 - 5

数字相乘:

1 \cdot 7 = 7

= 7 - 5

数字相减:

7 - 5 = 2

= 2

= \frac{2}{7}

= \frac{2}{7}

= \frac{2}{7} (2 - \frac{3}{5})

计算括号内的值

(2 - \frac{3}{5}) : \frac{7}{5}

2 - \frac{3}{5}

2 - \frac{3}{5} = \frac{7}{5}

2 - \frac{3}{5}

将项转换为分式:

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

= \frac{2 \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{2 \cdot 5 - 3}{5}

2 \cdot 5 - 3 = 7

2 \cdot 5 - 3

数字相乘:

2 \cdot 5 = 10

= 10 - 3

数字相减:

10 - 3 = 7

= 7

= \frac{7}{5}

= \frac{7}{5}

= \frac{2}{7} \cdot \frac{7}{5}

乘除（左右）

\frac{2}{7} \cdot \frac{7}{5} : \frac{2}{5}

\frac{2}{7} \cdot \frac{7}{5}

\frac{2}{7} \cdot \frac{7}{5} = \frac{2}{5}

= \frac{2}{5}

= \frac{2}{5}

流行的例子

7/10× 5/8× 96

7/10 \times 5/8 \times 96

(- 3)^{2} - (- 3) - 12

\frac{3}{4} (2) + 2

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

16 - 10 \div 5 + 13