Question

the denominator of a fraction is one less than four times the numerator the denominator becomes 12 times the numerator if both the numerator and the denominator are reduced by 3 find the fraction​

Answer 1

Answer:

The denominator of a fraction is one less than four times the numerator. If one is added to both numerator and denominator, the fraction becomes 3/8. What is the fraction?

The denominator of a fraction is one less than four times the numerator. If one is added to both numerator and denominator, the fraction becomes 3/8. What is the fraction?

Solution: Let the fraction be N/D.

D = 4N-1. So, we have the fraction as

N/(4N-1) by adding 1 to both the numerator and the denominator, we get

(N+1)/4N = 3/8, or

12N = 8N+8, or

4N = 8, or N = 2 and the denominator = 7.

The fraction is 2/7. Answer.

Check: (2+1)/(7+1) = 3/8. Correct.