numerator of a fraction is 2 less than the denominator if 1 is added to the numerator and 3 to the denominator then the fraction becomes 2/3 find the original fraction
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Answered by
7
Answer:
7/9
Step-by-step explanation:
Let the denominator be x
According to the question
numerator will be x-2
If 1 is added in numerator, it becomes x-2+1=x-1
If 3 is added to denominator, it becomes x+3
According to the question,
x-1/x+3=2/3
3(x-1)=2(x+3).....{by cross multiplication}
3x-3=2x+6
3x-2x=6+3
x=9
in original fraction,
x is the denominator
hence, denominator,x =9
numerator =x-2=
9-2=7
ORIGINAL FRACTION:7/9
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