# Fractions 8

### From Homeworkwiki

**1. Find the sum : 5/9 + 7/12**

**Solution:** L.C.M. of 9 and 12 = 3 * 3 * 4 = 36

Now, 5/9 = (5 * 4) / (9 * 4) = 20 / 36

and 7/12 = (7 * 3) / (12 * 3) = 21 / 36

so, 5/9 + 7/12 = 20 / 36 + 21 / 36 = (20 + 21) / 36 = 41 / 36 = 1^{5}/_{36}.

**2. Subtract 2 ^{5}/_{9} from 5^{1}/_{6}**

**Solution:** 5^{1}/_{6} - 2^{5}/_{9}

= 31/6 - 23/9

= (93 - 46) / 18

= 47 / 18

= 2^{11}/_{18}.