What was the total distance, in miles, Eil has biked when he finally reached the library?

Answer:
Distance covered by Eli is [tex]5\frac{19}{20}[/tex] miles.
Step-by-step explanation:
Eli biked the distance from his home initially = [tex]1\frac{1}{10}[/tex] miles
Then he remembered that he had left a book at home.
He came back home and traveled the distance = [tex]1\frac{1}{10}[/tex] miles
Then he reached the library by traveling the distance = [tex]3\frac{3}{4}[/tex] miles
Total distance covered by him = [tex]1\frac{1}{10}+1\frac{1}{10}+3\frac{3}{4}[/tex]
= [tex]1 + \frac{1}{10}+1+\frac{1}{10}+3+\frac{3}{4}[/tex]
= 5 + [tex]\frac{1}{10}+\frac{1}{10}+\frac{3}{4}[/tex]
= [tex]5+\frac{2}{20}+\frac{2}{20}+\frac{15}{20}[/tex]
= [tex]5+\frac{19}{20}[/tex]
= [tex]5\frac{19}{20}[/tex] miles
Therefore, distance covered by Eli is [tex]5\frac{19}{20}[/tex] miles.