Question

Борис рассчитал, что 1/4 часть суток он проводит в школе, 1/8 суток – дома за выполнением домашнего задания, 1/24 суток – дома за едой, 3/8 суток он спит, а остальное время играет или отдыхает. Сколько часов у него остается для игр и отдыха? Какая это часть суток?

Answer 1

1/4 = 6/24 в школе
1/8 = 3/24 выполняет дз
1/24 - кушает
3/8 = 9/24 спит
24/24 - полные сутки
24/24 - 6/24 - 3/24 - 1/24 - 9/24 = 5/24
5/24 это 5 часов
Ответ: 5 часов это 5/24 часть суток

Answer 2

Calculation of Boris' Time Allocation

Boris has calculated that he spends 1/4 of a day at school, 1/8 of a day at home doing homework, 1/24 of a day at home eating, and 3/8 of a day sleeping. He spends the remaining time playing or resting.

To determine how many hours Boris has for playing and resting, we need to convert the fractions of a day into hours.

1/4 of a day is equal to 6 hours. 1/8 of a day is equal to 3 hours. 1/24 of a day is equal to 1 hour. 3/8 of a day is equal to 9 hours.

Therefore, Boris has a total of 6 + 3 + 1 + 9 = 19 hours for playing and resting.

Calculation of the Fraction of a Day

To determine the fraction of a day that Boris has for playing and resting, we need to calculate the ratio of the time he has for playing and resting to the total time in a day.

The total time in a day is 24 hours.

Therefore, the fraction of a day that Boris has for playing and resting is 19/24.

In conclusion, Boris has 19 hours for playing and resting, which is equivalent to 19/24 of a day.