lily spent 1/6 of her free time practicing soccer and 5/12 of her free time playing a video game. what fraction of her free time did she spend on these two activites

Verified Answer :

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 \(\frac{7}{12}\)

Step-by-step explanation:

Given : Lily spent \(\frac{1}{6}\) of her free time practicing soccer and \(\frac{5}{12}\) 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 \(\frac{1}{6}\) of her free time.

For second activity i.e. playing a video game Lily spent \(\frac{5}{12}\) of her free time.                                    

Total free time did she spend on these two activities is

\(t=\frac{1}{6}+\frac{5}{12}\)

\(t=\frac{2+5}{12}\)

\(t=\frac{7}{12}\)

Therefore, Fraction of her free time did she spend on these two activities is \(\frac{7}{12}\)