Question

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

$91cm$ to $1.04m$

Answer 1

Given ratio is $91cm$ to $1.04m$

Convert the given ratio in same unit.

We know that,

$1m=100cm$

Therefore, $1.04m=1.04\times 100cm=104cm$

$91cm$ to $1.04m$ $=$ $91cm$ to $104cm$

Also, $91cm:104cm=\frac{91cm}{104cm}=\frac{91}{104}$

Now simplest form of $\frac{91}{104}$ can be obtained by dividing both term by their HCF $13$

$\Rightarrow \frac{91}{104}=\frac{{\displaystyle \frac{91}{13}}}{{\displaystyle \frac{104}{13}}}=\frac{7}{8}$

Hence, simplest form of $91cm$ to $1.04m$ is $7:8$