Mathematics & Fractions

Question

Alana spent 1/3 of her free time reading and 7/10 of her free time practicing her flute, 

What fraction of the time did she spend reading and practicing her flute?

Answer 1

1/3 ~ 0.3333333... and 7/10 = 0.7.

1/3 + 7/10 ~ 1.03333333... > 1 meaning she spent more time doing both tasks than was available to her. This is not possible.

Another way to look at this is 1/3 = 10/30 and 7/10 = 21/30. 10/30+21/30 = 31/30 > 1, confirming the answer is not possible given these initial conditions.