Answer:
The original fraction is
Step-by-step explanation:
Given as :
The ratio of numerator to denominator = 3 : 5
Let The numerator = 3 x
Let The denominator = 5 x
Again
If two is added to the numerator and five is subtracted from the denominator, the new fraction reduces to four fifths.
So, =
Or, 5 × (3 x + 2) = 4 × (5 x - 5)
Or, 15 x + 10 = 20 x - 20
Or, 20 x - 15 x = 10 + 20
or, 5 x = 30
∴ x =
i.e x = 6
So, The numerator = 3 × 6 = 18
And The denominator = 5 × 6 = 30
∴ Original fraction =
Or, Original fraction = =
Hence, The original fraction is Answer