what number must be added to both the numerator and denominator of 1/4 to make the resulting fraction 3/4

Answer 1

1+x 3

----- = ----

4+x 4

4(x+1) = 3(x+4)

4x + 4 = 3x + 12

x+4 = 12

x = 8

(1+8)/(4+8) = 9/12 = 3/4