Use the formula above to find the fraction for the repeating decimal below in simplest form. 0.4
To convert the repeating decimal 0.4 to a fraction in simplest form, we can use the formula:
Let x be the repeating decimal.
Let n be the number of repeating digits.
The formula is:
x = repeating part of the decimal / (10^n - 1)
In this case, the repeating part of the decimal is 4, and there is only 1 repeating digit.
So, the fraction in simplest form is:
x = 4 / (10^1 - 1)
x = 4 / (10 - 1)
x = 4 / 9
Therefore, the fraction equivalent to the repeating decimal 0.4 is 4/9 in simplest form.