Respuesta :
7/12 of her free time. here's how, first multiply 1/6 by 2 so you can add it to 5/12, this will give you 2/12, then add 2/12 to 5/12 and your answer will become 7/12. hope this helps :)
Answer:
Fraction of her free time did she spend on these two activities is [tex]\frac{7}{12}[/tex]
Step-by-step explanation:
Given : Lily spent [tex]\frac{1}{6}[/tex] of her free time practicing soccer and [tex]\frac{5}{12}[/tex] of her free time playing a video game.
To find : What fraction of her free time did she spend on these two activities?
Solution :
For first activity i.e. practicing soccer Lily spent [tex]\frac{1}{6}[/tex] of her free time.
For second activity i.e. playing a video game Lily spent [tex]\frac{5}{12}[/tex] of her free time.
Total free time did she spend on these two activities is
[tex]t=\frac{1}{6}+\frac{5}{12}[/tex]
[tex]t=\frac{2+5}{12}[/tex]
[tex]t=\frac{7}{12}[/tex]
Therefore, Fraction of her free time did she spend on these two activities is [tex]\frac{7}{12}[/tex]