Question

Express each of the following ratios in its simplest form
$2\frac{1}{3}:3\frac{1}{2}:1\frac{1}{4}$

Answer 1

$2\frac{1}{3}:3\frac{1}{2}:1\frac{1}{4}$
This can be written as
$\frac{7}{3}:\frac{7}{2}:\frac{5}{4}$
Now , taking L.C.M of $3,2$ and $4$ we get
$\frac{7}{3}\times 12:\frac{7}{2}\times 12:\frac{5}{4}\times 12$
$=28:42:15$
Hence , the simplest form of $2\frac{1}{3}:3\frac{1}{2}:1\frac{1}{4}$ is $28:42:15$