Answer: The fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]
Step-by-step explanation:
Given: Fraction of day Sylvia spent to drive her cousins home = [tex]\dfrac5{12}[/tex]
Fraction of day Sylvia spent to drive her home back= [tex]\dfrac5{12}[/tex]
Total fraction of day Sylvia spend driving to her cousins house and back = [tex]\dfrac5{12}+\dfrac{5}{12}[/tex]
[tex]=\dfrac{5+5}{12}\\\\=\dfrac{10}{12}\\\\=\dfrac{5}{6}[/tex]
Hence, the fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]