What is (1-t/(10))(1-t/7) ?

The solution to (1-t/(10))(1-t/7) is ((10-t)(7-t))/(70)

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simplify (1-t/(10))(1-t/7)

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

7 \cdot 10 = 70

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

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What is (1-t/(10))(1-t/7) ?
The solution to (1-t/(10))(1-t/7) is ((10-t)(7-t))/(70)