化简 (1-t/(10))(1-t/7)

解答

化简

(1 - \frac{t}{10}) (1 - \frac{t}{7})

\frac{( 10 - t ) ( 7 - t )}{70}

求解步骤

(1 - \frac{t}{10}) (1 - \frac{t}{7})

合并

1 - \frac{t}{10} : \frac{10 - t}{10}

= \frac{10 - t}{10} (1 - \frac{t}{7})

使用分式法则:

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

= \frac{( 10 - t ) ( 1 - \frac{t}{7} )}{10}

化简

(10 - t) (1 - \frac{t}{7}) : \frac{( 10 - t ) ( 7 - t )}{7}

= \frac{\frac{( 10 - t ) ( 7 - t )}{7}}{10}

使用分式法则:

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

= \frac{( 10 - t ) ( 7 - t )}{7 \cdot 10}

数字相乘:

7 \cdot 10 = 70

= \frac{( 10 - t ) ( 7 - t )}{70}

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