Answer:
[tex]\frac{47}{330}[/tex]
Step-by-step explanation:
We require to create 2 equations with the recurring part (42) placed after the decimal point.
let x = 0.14242 ( multiply both sides by 10 and 1000 )
10x = 1.4242... → (1)
1000x = 142.4242... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
990x = 141 ( divide both sides by 990 )
x = [tex]\frac{141}{990}[/tex] = [tex]\frac{47}{330}[/tex]
