Question 193700
{{{(a+1)/a=1+(a-2)/(2a)}}} Start with the given equation



{{{2*cross(a)((a+1)/cross(a))=1(2a)+cross(2a)((a-2)/cross(2a))}}} Multiply EVERY term by the LCD 2a to clear out the fractions.



{{{2(a+1)=2a+a-2}}} Multiply and simplify.



{{{2a+2=2a+a-2}}} Distribute.



{{{2a+2=3a-2}}} Combine like terms.



{{{2a+2+2=3a}}} Add 2 to both sides.



{{{2+2=3a-2a}}} Subtract 2a from both sides.



{{{4=a}}} Combine like terms.



So the solution is {{{a=4}}}