SOLUTION: Please help me solve this equation! Thank you so much! Solve for a {{{5/2a-7/2-8/5=164/15}}} (5/2 is a fraction with an a as a variable)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Please help me solve this equation! Thank you so much! Solve for a {{{5/2a-7/2-8/5=164/15}}} (5/2 is a fraction with an a as a variable)      Log On


   

Question 984699: Please help me solve this equation! Thank you so much! Solve for a
5%2F2a-7%2F2-8%2F5=164%2F15
(5/2 is a fraction with an a as a variable)
Found 3 solutions by josgarithmetic, Boreal, solver91311:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Denominators are these:
2a, 2, 5, 3*5.

Simplest common denonimator must use each of the factors to the greatest exponent that it occurs in any of the listed denominators.... which means, 2%2Aa%2A3%2A5=highlight_green%282%2A3%2A5%2Aa%29.

Multiply left and right sides by 2%2A3%2A5%2Aa, and then simplify and solve.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume it is 5/(2a) and not (5/2)a
;
Common denominator is 30a
75-105a-48a=328a
75=481a
a=(75/481)
;
;
check with numerical solution of 0.155925 for a.
(5/(2a)-3.5-1.6=10.933
16.033-5.1=10.933, checks

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Is your variable supposed to be in the denominator or not?

John

My calculator said it, I believe it, that settles it