Question

11. The denominator of a fraction exceeds the numerator by 1. If 2 be taken from each, the sum of the reciprocal of the new fraction and 4 times the original fraction is 5. Find the original fraction.​

Answer 1

Answer:

refer to the attachment

hope it helps

Answer 2

Answer:

Answer is

Step-by-step explanation:

original fraction ---- x/(x+1)

new fraction = (x-2)/(x-1)

(x-1)/(x-2) + 4x/(x+1) = 5

times (x-2)(x+1), the LCD

(x-1)(x+1) + 4x(x-2) = 5(x-2)(x+1)

x^2 - 1 + 4x^2 - 8x = 5x^2 - 5x - 10

3x - 9 = 0

x = 3

original fraction is 3/4

check:

new fraction = 1/2

1/(1/2) + 4(3/4)

= 2 + 3 = 5 , as needed

HOPE YOU UNDERSTAND ☺️