Question

Find the ratio of each of the following in simplest form:

$15mm$ to $2cm$

Answer 1

Given ratio is $15mm$ to $2cm$

Convert the given ratio in same unit.

We know that,

$1cm=10mm$

Therefore, $2cm=2\times 10mm=20mm$

$15mm$ to $2cm$ $=$ $15mm$ to $20mm$

Also, $15mm:20mm=\frac{15mm}{20mm}=\frac{15}{20}$

Now simplest form of $\frac{15}{20}$ can be obtained by dividing both term by their HCF $5$

$\frac{15}{20}=\frac{{\displaystyle \frac{15}{5}}}{{\displaystyle \frac{20}{5}}}=\frac{3}{4}$

Hence, simplest form of $15mm$ to $2cm$ is $3:4$