A fraction becomes 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 becomes equal to 1/2. What is the fractions? @ answer down in photo 1 part 2part 3 part is only one answer
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i am sorry i donnot know
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7/9
Step-by-step explanation:
let x be numerator and y be denominator.
NOW, ATQ..
x+1/y+1 = 4/5
5(x+1) = 4(y+1)
5x+5 = 4y+4
5x-4y =-1 --(equation 1)
now,
x-5/y-5 = 1/2
2(x-5) = y-5
2x-10 = y-5
2x-y = 5 --(equation 2)
now, multiplying equation ii by 4 and subtracting equation I from ii.
8x-4y = 20
5x-4y = -1
- + +
------------------
3x = 21
x = 7
putting value in equation I we get
5×7-4y = -1
35-4y = -1
36 = 4y
9 = y
so the required fraction is 7/9
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