The sum of 2 16\frac{1}{6}61 and 2712\frac{7}{12}127
= 136\frac{13}{6}613 + 3112\frac{31}{12}1231
= 13×2+3112\frac{13 \times 2 + 31}{12}1213×2+31
= 26+3112\frac{26 + 31}{12}1226+31
= 5712\frac{57}{12}1257
What should be subtracted from 5712\frac{57}{12}1257 to give 314\frac{1}{4}41
5712\frac{57}{12}1257 - y = 314\frac{1}{4}41
: y = 5712\frac{57}{12}1257 - 314\frac{1}{4}41 = 5712\frac{57}{12}1257 - 134\frac{13}{4}413
y = 57−3×1312\frac{57 - 3 \times 13}{12}1257−3×13 = 57−3912\frac{57 - 39}{12}1257−39
y = 1812\frac{18}{12}1218
y = 32\frac{3}{2}23 or 112\frac{1}{2}21