Answer:
![(493)/(1998)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r7nc8am21y01pzujxoavt9u12u5hmztlgv.png)
Explanation:
Given
0.2467467467........
We require 2 equations with the repeating part after the decimal point.
Let x = 0.2467467....
Multiply both sides by 10
10x = 2.467467... → (1)
Multiply both sides by 10000
10000x = 2467.467467.... → (2)
Subtract (1) from (2) to eliminate the repeating part
9990x = 2465 ( divide both sides by 9990 )
x =
=
![(493)/(1998)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r7nc8am21y01pzujxoavt9u12u5hmztlgv.png)