Question

Express the following ratio in its simplest form$:$

$12.8$ m $:$ $320$ cm

Answer 1

Step $1:$Write the given expression in the simplest form

Given ratio is $12.8$ m $:$ $320$ cm

Step $2:$ Convert $12.8$ m into cm units must be of the same kind

$1$ m $=100$ cm

$12.8$ m $=12.8\times 100$ cm

$12.8$ m $=1280$ cm

Step $3:$ Convert the given ratio into fraction

Ratio $1280$ cm $:$ $320$ cm can be written as

$=\frac{1280}{320}$

$=\frac{1280/10}{320/10}$$,$ divide numerator and denominator by $10$

$=\frac{128}{32}$

$=\frac{128/8}{32/8}$ divide numerator and denominator by $8$

$=\frac{16}{4}$

$=\frac{4}{1}$

Hence$,$ the simplest form of $12.8$ m $:$ $320$ cm is $4:1$