The numerator of a fraction is 5 less than the denominator.
If 1 is added to both numerator and denominator, the fraction becomes $\frac{1}{2}$ .
Find the original denominator.

Question

The numerator of a fraction is 5 less than the denominator. If 1 is added to both numerator and denominator, the fraction becomes 1/2. Find the original denominator.

Accepted Answer

9. Denominator = d, numerator = d - 5. d - 5 + 1/d + 1 = 1/2, d - 4/d + 1 = 1/2, 2(d - 4) = d + 1, 2d - 8 = d + 1, d = 9.

The numerator of a fraction is 5 less than the denominator.
If 1 is added to both numerator and denominator, the fraction becomes $\frac{1}{2}$ .
Find the original denominator.

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More Class 8 Word Problems practice

The numerator of a fraction is 5 less than the denominator.If 1 is added to both numerator and denominator, the fraction becomes 21​.Find the original denominator.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Word Problems practice

The numerator of a fraction is 5 less than the denominator.
If 1 is added to both numerator and denominator, the fraction becomes $\frac{1}{2}$ .
Find the original denominator.