Two simple

Two simple fractions have the product of 3/10. When the smaller fraction is divided by the bigger fraction, the quotient is 5/6. What are the two fractions in simplest form?

Correct answer:

a =  3/5
b =  1/2

Step-by-step explanation:

a b = 103 b/a = 5/6  a (5/6 a)   3/10 a2 = 3/10   6/5  a=3/10 6/5=53=0.6
b=5/6 a=5/6 0.6=21=0.5   Verifying Solution:   p=a b=0.6 0.5=103=0.3 d=b/a=0.5/0.6=650.8333

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