A fraction will be equal to 4/5 if 1 is added to both numerator and denominator. if, however, 5 is subtracted from both numerator and denominator, the fraction will be equal to 1/2. what is the fraction
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Answer:fraction = 19/23
Step-by-step explanation:
Let the fraction be x/y, so x+1/y+1 = 4/5
so 5x+5 = 4y+4
5x-4y =1
x-5/y-5 = 1/2
2x-10 =y-5
2x-y =5
8x-4y=20
-8x+4y =-20
Adding both equations
-3x =-19
x=19/3
95/3-4y=1
4y =95/3-1
4y= 92/3
y= 23/3
so fraction = 19/23
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