If the numerator of a fraction is 3 less than the denominator, the fraction will be :
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Answer:
denominator be x
numerator be 3x-x
Answered by
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Answer:
your Answer is 2/5
Step-by-step explanation:
Let the denominator of the fraction be x.
Given that, the numerator of the fraction is 3 less than the denominator.
⇒ Numerator = x - 3
(x-3)/x is the fraction.
Given that, (N+1)/ (D+1) = 1/2
⇒ [(x -3) + 1] / [ x+ 1] = 1/2
⇒ [x - 2] / [ x+ 1] = 1/2
By cross-multiplication, we get:
2(x - 2) = 1(x + 1)
⇒ 2x - 4 = x + 1
⇒ 2x - x = 4 + 1
⇒ x = 5
⇒ Denominator = x = 5
⇒ Numerator = x - 3 = 5 - 3 = 2
Therefore, the required fraction is 2/5.
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