Answer:
[tex]\dfrac{8}{11}\; \sf miles[/tex]
Step-by-step explanation:
Erica swam 3/11 of a mile and then stopped for a break. She then swam another 5/11 of a mile.
To determine the total number of miles Erica swam, we need to add the two distances she covered:
[tex]\textsf{Total miles}=\dfrac{3}{11}+\dfrac{5}{11}[/tex]
In a fraction, the numerator is the top part and the denominator is the bottom part.
When we add fractions with the same denominator, we combine their numerators while keeping the common denominator unchanged:
[tex]\textsf{Total miles}=\dfrac{3+5}{11}[/tex]
Therefore:
[tex]\textsf{Total miles}=\dfrac{8}{11}[/tex]
So, the total number of miles Erica swam was:
[tex]\Large\boxed{\boxed{\dfrac{8}{11}\; \sf miles}}[/tex]
