To convert the fraction [tex]\(\frac{11}{50}\)[/tex] into a decimal, follow these detailed steps:
1. Understand the fraction:
- The fraction given to us is [tex]\(\frac{11}{50}\)[/tex].
- Here, 11 is the numerator and 50 is the denominator.
2. Division method:
- To convert a fraction to a decimal, you can divide the numerator by the denominator.
3. Perform the division:
- When you divide 11 by 50, you carry out the long division or use a calculator to find the decimal value.
4. Result:
- The decimal representation of [tex]\(\frac{11}{50}\)[/tex] is obtained by this division.
- Upon completion of the division process, we see that [tex]\(\frac{11}{50}\)[/tex] is equal to 0.22.
Thus, the fraction [tex]\(\frac{11}{50}\)[/tex] converts to the decimal 0.22. Since 0.22 does not have any repeating parts, it is a terminating decimal.
Therefore, the answer is:
[tex]\[
\frac{11}{50} = 0.22
\][/tex]
