Question 118329

{{{9q/10-(3/5)q=3/4-1/8}}} Start with the given equation




{{{(40)(9q/10-(3/5)q)=(40)(3/4-1/8)}}} Multiply both sides by the LCM of 40. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{36q-24q=30-5}}} Distribute and multiply the LCM to each side




{{{12q=30-5}}} Combine like terms on the left side



{{{12q=25}}} Combine like terms on the right side



{{{q=(25)/(12)}}} Divide both sides by 12 to isolate q



--------------------------------------------------------------

Answer:

So our answer is {{{q=25/12}}}  (which is approximately {{{q=2.08333333333333}}} in decimal form)