The least common multiple between 3 and 4 is 12, so we can use this fact to rewrite both 1/3 and 1/4 in 12ths:
[tex]\big( \frac{1}{3}\times \frac{4}{4}\big) + \big(\frac{1}{4}\times \frac{3}{3}\big)=\\ = \frac{4}{12}+ \frac{3}{12}\\\\ = \frac{7}{12} [/tex]
We're left with an answer of 7/12, which can't be reduced.
