Verified Answer :

The simplest form of this ratio is:
3:4

Hope this helps.

Answer:  The required simplified form of the given ratio is 3 : 4.

Step-by-step explanation:  We are given to express the following ratio in simplest form :

\(R=21:28~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

We will be using the following rule :

\(a:b=\dfrac{a}{b}.\)

From (i), we get

\(R=21:28=\dfrac{21}{28}=\dfrac{7\times3}{7\times4}=\dfra{3}{4}=3:4.\)

Thus, the required simplified form of the given ratio is 3 : 4.