Question

Reduce to a single fraction:

${\displaystyle 1\frac{1}{3}+2\frac{1}{4}}$

Answer 1

${\displaystyle 1\frac{1}{3}+2\frac{1}{4}=\frac{4}{3}+\frac{9}{4}}$

${\displaystyle =\frac{4\times 4}{3\times 4}+\frac{9\times 3}{4\times 3}=\frac{16}{12}+\frac{27}{12}}$  (LCM of 3 and 4 = 12)

${\displaystyle =\frac{16+27}{12}=\frac{43}{12}=3\frac{7}{12}}$