Which equivalent fractions can I use to find the difference of 5 3/12 and 1 4/9

Question

Mathematics and fractions

Answer 1

12 factors into 2*2*3 and 9 factors into 3*3, so the least common denominator is 2*2*3*3 = 36

5 3/12 = ((5*12)+3)/12 = 63/12 = (63*3)/(12*3) = 189/36

1 4/9 = (9+4)/9 = 13/9 = (13*4)/(9*4) = 52/36

189/36 - 52/36 = (189-52)/36 = 137/36 = (108+29)/36 = 108/36 + 29/36 = 3 29/36