Question

A repeating decimal, like 0.327327327..., can be written as a fraction.(1 point)
Responses

True, a repeating decimal is irrational, so can be written as a ratio
True, a repeating decimal is irrational, so can be written as a ratio

False, any decimal that does not terminate cannot be written as a fraction
False, any decimal that does not terminate cannot be written as a fraction

False, any decimal that repeats cannot be written as a fraction
False, any decimal that repeats cannot be written as a fraction

True, a repeating decimal is rational, so can be written as a ratio
True, a repeating decimal is rational, so can be written as a ratio

Answer 1

True, a repeating decimal is rational, so can be written as a ratio.

Example: let x = 0.327327327...
1000x = 327.327327...
Subtract: 999x = 327 → x = 327/999 = 109/333.