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Lachlan decides to plan out his day for tomorrow in a pie chart. He schedules 7 hours of sleep from 12 am onwards. Right after he wakes up, he plans to do yoga for half an hour. School is from 9 am – 3 pm.

After school, he has violin lessons from 4:30 – 6:00 pm. He plans to stay back and practice for 1 hour on a piece he is performing at the talent show. Dinner is from 7:00-7:30 pm. Finally, he has time to do his homework for 1.5 hours.

What fraction of the day is left unplanned after all of these activities?