<PRE><B>Question 29029</B>
1/5 - 4/3m = 2/m  ----(1)
Multiplying through out by 15m
(3m-20)=30   (how and why 15m?,because the lcm of 5,3m and m is 15m )
3m = 30+20
3m =50
m = 50/3
Answer: m= 50/3
Verification: LHS of (1) is 
1/5 - 4/3m 
= 1/5-[4/(3X50/3)]
=1/5-4/50
=1/5-2/25
=(5-2)/25  (combining the two fractions by finding the lcm)
=3/25
RHS of (1) is 
2/m  = 2/[(50/3)] = 2X(3/50) = (2X3(/(2X25) = 3/25 = LHS
Therefore our value for m is correcat</PRE>