Sure! Let's convert the fraction [tex]\(\frac{2}{7}\)[/tex] into a decimal step by step.
1. Understand the fraction: We have the fraction [tex]\(\frac{2}{7}\)[/tex], which represents the division of 2 by 7.
2. Perform the division: We divide 2 by 7 to convert it into a decimal form.
To do this, you would typically set up the division with 2 as the dividend (inside the division bracket) and 7 as the divisor (outside the division bracket). However, I'll provide you the decimal form directly.
3. Decimal Result: When you divide 2 by 7, you get approximately:
[tex]\[
0.2857142857142857
\][/tex]
This is a repeating decimal since after the digits "285714", the sequence "285714" will continue indefinitely.
Thus, the decimal representation of [tex]\(\frac{2}{7}\)[/tex] is [tex]\(0.2857142857142857\)[/tex].
