To solve the given expression [tex]\(\frac{1}{99} \times 2\)[/tex], let's break it down into clear, step-by-step parts:
1. Fraction Evaluation:
- Start with the fraction [tex]\(\frac{1}{99}\)[/tex]. To find the decimal form of this fraction, you divide the numerator (1) by the denominator (99).
[tex]\[
\frac{1}{99} \approx 0.010101010101010102
\][/tex]
This is a repeating decimal, but we'll use the precise value given, which is approximately [tex]\(0.010101010101010102\)[/tex].
2. Multiplication:
- Next, take the decimal value obtained in the previous step and multiply it by the given multiplicand, which is 2.
[tex]\[
0.010101010101010102 \times 2 = 0.020202020202020204
\][/tex]
Therefore, the step-by-step solution to the problem [tex]\(\frac{1}{99} \times 2\)[/tex] is:
1. Divide 1 by 99 to get approximately [tex]\(0.010101010101010102\)[/tex].
2. Multiply the result by 2, which gives approximately [tex]\(0.020202020202020204\)[/tex].
Thus, the final answer is approximately [tex]\(0.020202020202020204\)[/tex].
