Question

the denominator of a fraction is 2 more than the numerator. if 1 is sub from the numerator and 1 is add to the denominator the fraction become 1/2 what is the fraction ​

Answer 1

Step-by-step explanation:

x, y={3, 5} of the “original fraction” 3/5

PREMISES

x/y=1/2

(x-1)/(x+2)-1=1/2

ASSUMPTIONS

Let x=x

Let y=x+2

CALCULATIONS

x/y=1/2, where y=x+2

(x-1)/(x+2)-1=1/2

(x-1)/x+(2–1)=1/2 (Addition and subtraction are commutative)

(x-1)/(x+1)=1/2

2{(x-1)/(x+1)}=1/2(2) (Multiply the equation by 2 to eliminate the fraction on the right side making the math easier)

(2x-2)/(x+1)=1

{(2x-2)/(x+1)}(x+1)=1(x+1)

2x-2=x+1

(2x-x)-2=(x-x)+1

x-2=0+1

x-2=1

x-2+2=1+2

x-0=3

x=

3

and,

if x=3, then

y=x+2

y=3+2

y=

5

PROOF

If x, y={3, 5}, then the equations

x/y=1/2

(x-1)/(x+2)-1=1/2

(3–1)/(3+2)-1=1/2

2/(5–1)=1/2

2/4=1/2 and

1/2=1/2 establish the roots (zeros) x, y={3, 5} of the “original fraction” x/y=1/2

C.H.