The numerator of a fraction is 2 less than its denominator. If 2 is subtracted from the numerator and 1 id added to the denominator then the fraction becomes 1/2. Find the fraction. *
Answers
Answered by
16
Answer:
hope this helps u
Step-by-step explanation:
Let denominator of fraction be X.
Numerator = ( X - 8 )
Fraction = Numerator/Denominator = ( X -8)/X.
According to question,
When 1 is added to numerator and 2 is subtracted from denominator the fraction obtained is 2/7.
X - 8 + 1 / X - 2 = 2/7
X - 7 / X - 2 = 2/7
7 ( X - 7 ) = 2 ( X - 2 ).
7X - 49 = 2X - 4.
7X - 2X = -4 + 49
5X = 45
X = 9.
Denominator of fraction = X = 9.
And,
Numerator of fraction = X - 8 = 9-8 = 1.
Fraction = Numerator / Denominator = 1/9
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Answered by
3
Answer:
1/9
Step-by-step explanation:
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