## The sum of numerator and dinominator of a fraction is 12. If I is added to both the numerator and dinominator the fraction becomes

Question

The sum of numerator and dinominator of a fraction is 12.
If I is added to both the numerator and dinominator the fraction becomes
Find the fraction​

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6 days 2021-11-25T07:00:17+00:00 1 Answer 0 views 0

numerator be x

so denominator is 12-x

the numerator is x+1

and denominator is 12-x+1

and given new fraction is 3/4

By question,

or, x+1/12-x+1=3/4

4 (x+1)=3 (12-x+1)

4x+4=36-3x+3

4x+3x=36+3-4

7x=35

x=35/7

x=5

so, numerator is 5

and denominator is 12-5=7

the fraction is 5/7

Step-by-step explanation:

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