Question

}{10} = \frac{4}{a-3}" alt=" \frac{2}{10} = \frac{4}{a-3}" align="absmiddle" class="latex-formula">
Solve the proportion, then leave the fraction in a fraction as simplest form. Thanks! :)

Answer 1

Hello there!

$Let's \ first \ rearrange \ the \ equation! \\ \\ ( 2/10-(4/a-3)=0 ) \\ \\ we \ first \ simply \ simplify \ first \ \boxed{ \frac{4}{a} } \\ \\ \left[\begin{array}{ccc}\ \left[\begin{array}{ccc}\boxed{ \frac{2}{10}-( \frac{4}{a})-3)=0} \end{array}\right] \end{array}\right] \\ \\ We \ then \ subtract \ its \ whole \ numbers. \\ \\ \boxed{3= \frac{3}{1} = \frac{3*a}{a} }$

$\Longrightarrow \left[\begin{array}{ccc}2/10-(4-3a)/a=\boxed{0}\end{array}\right] \\ \\ we \ then \ simplify \ \boxed{1/5 \\ \\ 1/5-(4-3a)/a=0} \\ \\ \\ \boxed{\boxed{ \frac{a-((4-3a)*5}{5a} = \frac{16a-20}{5a} }} \\ \\ we \ then \ pull \ out \ some \ like \ terms . \\ \\ 16a - 20 = 4 * (4a - 5) \\ \\ solve \ 4 = 0 \ ; solve \ 4a-5 = 0 . \\ \\ \Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow$

$\boxed{TAKE \ NOTICE} \\ \\ \\ \boxed{\boxed{ Add \ 5 \ to \ both \ sides \ of \ the \ equation : \ 4a = 5 }} \\ \\ \\ \left[\begin{array}{ccc} \left[\begin{array}{ccc}Divide \ both \ sides \ of \ the \ equation \ by \4: \\ a = 5/4 = 1.250 \end{array}\right] \end{array}\right] \\ \\ \\ \boxed{\boxed{Your \ correct \ answers}}... \\ \\ \\ \boxed{ a = 5/4 = 1.250}$

I hope this helps you Cher!