The numerator of a fraction is 7 less than the denominator. If 3 is added to the numerator, the value of the fraction becomes 2/3. Find the original fraction.
Let the denominator of the fraction be x. The numerator is (x-7). Hence the original fraction is `(x-7)/x.`
According to the given condition:
Cross multiplying we get:
`rArr` ` x=12`
Hence the numerator of the original fraction is (12-7)=5 and its denominator =12.
Therefore the original fraction is `5/12.`