Question

The numerator of a fraction is 4 less than its denominator.If 1 is added to both
its numerator and denominator, it becomes 1\2. Find the fraction.

Answer 1

Given :-

• The numerator of a fraction is 4 less than its denominator.If 1 is added to both
• its numerator and denominator, it becomes 1/2.

To Find :-

• The Fraction

Solution :-

⟾ Let the Denominator be x

⟾ Then the Numerator will be x - 4

After adding 1 to both :

⟾ Denominator = x + 1

⟾ Numerator = x - 4 + 1 = x - 3

According to the Question :

➞ x - 3 / x + 1 = 1/2

➞ 2 (x - 3) = 1 (x + 1)

➞ 2x - 6 = x + 1

➞ 2x - x = 6 + 1

➞ x = 7

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Therefore :

• Numerator = x - 4 = 7 - 4 = 3
• Denominator = x = 7
• Fraction = 3/7

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