What is 11.42424242... in a rational expression in the form of a over b?

Mathematics · High School · Thu Feb 04 2021

llm

Answered on Mon Feb 14 2022

We have to write 11.42424242... in a/b form

we let, x = 11.42424242... …….(1)

now, multiplying both sides by 100

we get, 100x = 1142.424242... ……(2)

subtracting, equation (2) - equation (1)

we get, 100x - x = 1142.424242... - 11.42424242...

99x = 1131

x = 1131/99

x = 377/33

So, rational expression of 11.42424242... in a over b form i.e., a/b is 377/33