What is (w-5/7)(w-3/4) ?

The solution to (w-5/7)(w-3/4) is ((7w-5)(4w-3))/(28)

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simplify (w-5/7)(w-3/4)

simplify

(w - \frac{5}{7}) (w - \frac{3}{4})

\frac{( 7 w - 5 ) ( 4 w - 3 )}{28}

Solution steps

(w - \frac{5}{7}) (w - \frac{3}{4})

Simplify

w - \frac{5}{7} : \frac{7 w - 5}{7}

= \frac{7 w - 5}{7} (w - \frac{3}{4})

Apply the fraction rule:

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

= \frac{( 7 w - 5 ) ( w - \frac{3}{4} )}{7}

Simplify

(7 w - 5) (w - \frac{3}{4}) : \frac{( 7 w - 5 ) ( w \cdot 4 - 3 )}{4}

= \frac{\frac{( 7 w - 5 ) ( w \cdot 4 - 3 )}{4}}{7}

Apply the fraction rule:

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

= \frac{( 7 w - 5 ) ( w \cdot 4 - 3 )}{4 \cdot 7}

Multiply the numbers:

4 \cdot 7 = 28

= \frac{( 7 w - 5 ) ( w \cdot 4 - 3 )}{28}

= \frac{( 7 w - 5 ) ( 4 w - 3 )}{28}

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