SOLUTION: For any positive number a,b,m,n satisfying the condition m/n = a /(a+b) the difference a/b - m/n is equal to a) nb / ma b) mb / na c) ma / nb d) ab / mn

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For any positive number a,b,m,n satisfying the condition m/n = a /(a+b) the difference a/b - m/n is equal to a) nb / ma b) mb / na c) ma / nb d) ab / mn       Log On


   

Question 77274: For any positive number a,b,m,n satisfying the condition
m/n = a /(a+b) the difference a/b - m/n is equal to
a) nb / ma
b) mb / na
c) ma / nb
d) ab / mn
Answer by THANApHD(104) About Me  (Show Source):
You can put this solution on YOUR website!
m/n = a /(a+b)
so
n/m = (a+b)/a
na = m(a+b)
na = ma + mb - ----- -- -- -(1)

So
a/b - m/n
= (na - mb)/(nb) .. but na = ma + mb ---- (1)
= (ma + mb - mb)/(nb)
= ma/nb

ans 3