Question

Reduce the given ratio in simplest form:

$\frac{12}{17}:\frac{9}{34}:3\frac{9}{17}$

Answer 1

Convert the mixed fraction into improper fraction

$3\frac{9}{17}=\frac{60}{17}$

Now the given ratio is $\frac{12}{17}:\frac{9}{34}:\frac{60}{17}$ and can be simplified by dividing each term by LCM of their denominator $34$

$\frac{12}{17}\times 34:\frac{9}{34}\times 34:\frac{60}{17}\times 34=24:9:120$

Lowest term of ratio $24:9:120$ can be obtained by dividing each term by their HCF $3$

$24:9:120=24\times \frac{1}{3}:9\times \frac{1}{3}:120\times \frac{1}{3}=8:3:40$

Hence, the simplest form of $\frac{12}{17}:\frac{9}{34}:3\frac{9}{17}$ is $8:3:40$