# The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes . Find the fraction.

Let the denominator of the fraction be x.

The numerator is 4 less than the denominator.

The numerator = x – 4.

According to the given condition,

(Multiplying by x + 1 on both sides)

(Multiplying by 2 on both sides)

2x – 6 = x + 1

2x – x = 1 + 6 (Transposing x to LHS and 6 to RHS)

x = 7

The numerator of the fraction = x – 4 = 7 – 4 = 3

The denominator of the fraction = x = 7

The fraction is .

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