Question

How can a rational nuber equal a repeating decimal?

Answer 1

A rational number is a number that can be written as a fraction. Any number that can be written as a fraction can be written as a decimal, and some rational numbers can be converted to repeating decimals. To convert a fraction into a decimal we must divide the numerator by the denominator here is a quick example...


`(5)/(6) \\(5)/(6) =5/6=0.83333\\=0.833333`

As you can see, 5/6 written as a decimal is 0.83333(repeating).

I hope this helps.