What is ((a-4+4/d))/((1-2/9)) ?

The solution to ((a-4+4/d))/((1-2/9)) is (9(ad-4d+4))/(7d)

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simplify ((a-4+4/d))/((1-2/9))

simplify

\frac{( a - 4 + \frac{4}{d} )}{( 1 - \frac{2}{9} )}

\frac{9 ( a d - 4 d + 4 )}{7 d}

Solution steps

\frac{a - 4 + \frac{4}{d}}{1 - \frac{2}{9}}

Join

a - 4 + \frac{4}{d} : \frac{a d - 4 d + 4}{d}

= \frac{\frac{a d - 4 d + 4}{d}}{1 - \frac{2}{9}}

1 - \frac{2}{9} = \frac{7}{9}

= \frac{\frac{a d - 4 d + 4}{d}}{\frac{7}{9}}

Apply the fraction rule:

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

= \frac{( a d - 4 d + 4 ) \cdot 9}{d \cdot 7}

= \frac{9 ( a d - 4 d + 4 )}{7 d}

(h) x^{4} - y^{4} + x^{2} - y^{2}

\frac{( sin ^{2} ( a ) + sin ( a ) )}{sin ^{2} ( a )}

x + y (2 x - y)

a^{2} - 5 b^{2} + (- c)^{2}

(\frac{5}{2 \cdot x + 1})^{3}

What is ((a-4+4/d))/((1-2/9)) ?
The solution to ((a-4+4/d))/((1-2/9)) is (9(ad-4d+4))/(7d)