On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?

Respuesta :

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]