Question

the sum of the numerarator and denominator of fraction is three less that twice denominator .if numerator and denominator are decresed by 1 the numerator becomes half the denominator. find the fraction

Answer 1

Answer:

5/8

Step-by-step explanation:

Let denominator is x

and denominator is n

we know that numerator+denominator=2×denominator-3

n+x=2×x-3

n=2x-x-3

n=x-3

If the denominator and numerator are decreased by 1, numerator becomes half of denominator

x-3-1=1x/2

x-4=1x/2

x=x/2 +4

taking LCM of x/2 and 4

x=x+8/2

2x=x+8

2x-x=8

x=8

therefore,

numerator is 5 and

denominator is 8

so the original fraction is 5/8