To solve the addition of the fractions [tex]\(\frac{5}{11}\)[/tex] and [tex]\(\frac{3}{11}\)[/tex], follow these steps:
1. Identify the fractions: We have the fractions [tex]\(\frac{5}{11}\)[/tex] and [tex]\(\frac{3}{11}\)[/tex].
2. Check the denominators: Notice that both fractions have the same denominator (11). When adding fractions with the same denominator, you simply add the numerators while keeping the denominator unchanged.
3. Add the numerators:
[tex]\[
5 + 3 = 8
\][/tex]
4. Keep the denominator the same: The common denominator is 11.
5. Write the result as a fraction:
[tex]\[
\frac{5}{11} + \frac{3}{11} = \frac{8}{11}
\][/tex]
So the sum of [tex]\(\frac{5}{11}\)[/tex] and [tex]\(\frac{3}{11}\)[/tex] is [tex]\(\frac{8}{11}\)[/tex].
Additionally, if you convert [tex]\(\frac{8}{11}\)[/tex] to a decimal, you get:
[tex]\[
\frac{8}{11} \approx 0.7272727272727273
\][/tex]
In conclusion, the addition of the fractions [tex]\(\frac{5}{11}\)[/tex] and [tex]\(\frac{3}{11}\)[/tex] results in [tex]\(\frac{8}{11}\)[/tex], which is approximately [tex]\(0.7272727272727273\)[/tex] in decimal form.
