The numerator of a fraction is 4 less then its denominator if one is is added Tu both what is numerator and denominator the fraction becomes 12 find the fraction
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EXPLANATION
Let the numerator be x. Then,
The numerator of a fraction is 4 less than
its denominator. So,
Numerator of the fraction = x
Denominator of the fraction = x + 4
If one is added to both, the fraction
becomes 12.
Now, numerator = x + 1
Denominator = x + 4 + 1 = x / 5
= x + 1 ÷ x + 5 = 12
= x + 1 = 12 ( x + 5 )
= x + 1 = 12x + 60
= x - 12x = 60 - 1
= - 11x = 59
= - x = 59 / 11
= x = - 59 / 11
So, numerator of the fraction is - 59 / 11
Denominator = - 59 / 11 + 4
= - 15 / 11
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