Question

When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes 1/4. And, when 6 is added to numerator and the denominator is multiplied by 3, it becomes 2/3. Find the fraction.

Answer 1

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Answer 2

Answer:

let the numerator be"a"

denominator= "b"

as given =  a-2/b+3=1/4   [cross multiply}

4a-8=b+3 {SOLVE}

=4a-b=11

now 6 is added to numerator and denominator is multiplied by 3

= a+6/3b=2/3 {cross}

=3a+18=2b

a+6=2b....

4a-b-4a-24=11-8b

7b=35

b=35/7

5

but a = 4

so a/b=4/5

                 

Step-by-step explanation: