Answer:
155.38 miles
Step-by-step explanation:
Given that:
Mike drove [tex]84 \dfrac{3}{4}[/tex] miles to their parent's house for thanksgiving; and
Carolyn drove [tex]\dfrac{5}{6} \ of \ 84 \dfrac{3}{4}[/tex]
Carolyn drove [tex]\dfrac{5}{6}\times \dfrac{339}{4}[/tex]
Carolyn drove [tex]\dfrac{565}{8} \ miles[/tex]
The total miles they both drove is:
[tex]=84 \dfrac{3}{4} + \dfrac{565}{8}[/tex]
[tex]=\dfrac{339}{4}+ \dfrac{565}{8}[/tex]
[tex]= \dfrac{678+ 565}{8}[/tex]
[tex]= \dfrac{1243}{8}[/tex]
= 155.38 miles
