Question

Convert 0, point, 4, 3, 40.434 to a fraction in simplest form and a percent.
Answer
Attempt 2 out of 3

Fraction:
Percent (Edit the repeating and non-repeating part):
.
__

__
%

Answer 1

I think the decimal is 0.4 with 3 repeating (0.43333...).

Fraction:
Let x = 0.43333...
10x = 4.3333...
10x − x = 4.3333... − 0.43333... = 3.9
9x = 3.9 = 39/10 → x = (39/10)/9 = 39/90 = 13/30

So the fraction in simplest form is 13/30.

Percent:
13/30 × 100% = 1300/30% = 130/3% = 43 1/3% = 43.333...% = 43.\overline{3}%

If you meant a different repeating pattern, tell me the exact repeating digits and I’ll recompute.