Question

I’m stuck on this please help?

Answer 1

Hello from MrBillDoesMath!

Answer:

2291/990

Discussion:

Let

x = 2.3141414...... then

10x = 23.141414... (*)

and

1000x = 2314.141414..... (**)

Subtract (*) from (**):

1000x - 10x = (2314 + .141414....) - (23 + .141414....)

990x = 2314 - 23 as the decimal parts cancel

990x = 2291

x = 2291/990

Thank you,

MrB