Question

If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. Determine the original fraction. Which of the following equations represents "If the numerator of a fraction is increased by 3, the fraction becomes 3/4"?

Answer 1

For this case, the original fraction is:
 x / y
 Where,
 x = numerator
 y = denominator:
 If the numerator of a fraction is increased by 3, the fraction becomes 3/4:
 (x + 3) / y = 3/4
 If the denominator is decreased by 7, the fraction becomes 1:
 x / (y-7) = 1
 Solving the system of equations we have:
 x = 9
 y = 16
 The original fraction is:
 9/16
 Answer:
 the original fraction is:
 9/16
 "If the numerator of a fraction is increased by 3, the fraction becomes 3/4" is:
 (x + 3) / y = 3/4

Answer 2

Let n = numerator
d = denominator

n+3/d = 3/4

n/(d-7) = 1

Which of the following equations represents "If the numerator of a fraction is increased by 3, the fraction becomes 3/4"?

The equation is (n+3)/d = 3/4