A fraction is such that the numerator is five less than the denominator. Also four times the numerator is one more than the denominator. The fraction is:
Answer & explanation
Correct answer: option 4
Let the denominator of fraction be m
The numerator of fraction = (m - 5)
According to the question
4 × (m - 5) = x + 1
= 4m - 20 = x + 1
= 3m = 21
= m = 7
Then the fraction is = \(\frac{m - 5}{m}\) = \(\frac{7 - 5}{7}\) = \(\frac{2}{7}\)