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Question 29029: 1/5 - 4/3M = 2/m
Answer by sdmmadam@yahoo.com(530)   (Show Source):
You can put this solution on YOUR website! 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
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