Greg has walked [tex]\frac{2}{3}[/tex] miles
Solution:
Given that, Greg’s house is 0.8 miles from the library
Distance between house and library = 0.8 miles
Greg has walked [tex]\frac{5}{6}[/tex] of the distance
Therefore,
Distance walked = [tex]\frac{5}{6}[/tex] of the distance between house and library
Here "of" means multiplication
Thus we get,
[tex]\text{Distance walked } = \frac{5}{6} \text{ of } 0.8[/tex]
[tex]\rightarrow \frac{5}{6} \times 0.8 = \frac{5}{6} \times \frac{8}{10}\\\\\text{Simplify the above fraction by reducing to lowest terms }\\\\\rightarrow \frac{5}{6} \times \frac{8}{10}=\frac{2}{3}[/tex]
Thus Greg has walked [tex]\frac{2}{3}[/tex] miles