SOLUTION: 4/11a+13/22a+1/3=11/16

Algebra ->  Linear-equations -> SOLUTION: 4/11a+13/22a+1/3=11/16       Log On


   



Question 442989: 4/11a+13/22a+1/3=11/16

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I guess you have this:
%284%2F11%29a%2B%2813%2F22%29a%2B1%2F3=11%2F16.....common denominator for 11,22, and 3 is 66

%284%2A6%2F11%2A6%29a%2B%2813%2A3%2F22%2A3%29a%2B1%2A22%2F3%2A22=11%2F16

%2824%2F66%29a%2B%2839%2F66%29a%2B22%2F66=11%2F16

%2824a%2B39a%2B22%29%2F66=11%2F16

%2863a%2B22%29%2F66=11%2F16....cross multiply

16%2863a%2B22%29=11%2A66

16%2863a%2B22%29=726

63a%2B22=726%2F16

63a%2B22=45.375

63a=45.375-22

63a=23.375

a=23.375%2F63

a=0.371

check:
%284%2F11%290.371%2B%2813%2F22%290.371%2B1%2F3=11%2F16
%280.364%290.371%2B%280.591%290.371%2B0.333=0.69
0.14%2B0.22%2B0.33=0.69
0.36%2B0.33=0.69
0.69=0.69