
В эстафете приняли участие 4 спортсмена первый пробежал свою дистанцию за 6 2/3 минут второй 6 4/5
минут третий за 7 5/9 минут а четвёртый за 7 17/45. Сколько времени спортсмены потратили на весь путь? Ответ запиши в виде смешенного числа с несократимой дробной частью.

Ответы на вопрос

Ответ:
Пошаговое объяснение:
6 2/3+6 4/5+7 5/9+7 17/45=
6 30/45+6 36/45+7 25/45+7 17/45=28 2/5
мин



Problem Analysis
We are given the times it took for four athletes to complete their respective distances in a relay race. We need to find the total time taken by all the athletes combined.Solution
To find the total time taken by all the athletes, we need to add up the times taken by each athlete.Let's calculate the total time taken step by step:
1. Convert the mixed numbers to improper fractions: - The first athlete took 6 2/3 minutes, which is equivalent to 20/3 minutes. - The second athlete took 6 4/5 minutes, which is equivalent to 34/5 minutes. - The third athlete took 7 5/9 minutes, which is equivalent to 68/9 minutes. - The fourth athlete took 7 17/45 minutes, which is equivalent to 352/45 minutes.
2. Add up the fractions: - (20/3) + (34/5) + (68/9) + (352/45)
To add fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3, 5, 9, and 45 is 45.
3. Convert the fractions to have a common denominator of 45: - (20/3) * (15/15) = 300/45 - (34/5) * (9/9) = 306/45 - (68/9) * (5/5) = 340/45 - (352/45)
4. Add up the fractions: - (300/45) + (306/45) + (340/45) + (352/45) = 1298/45
5. Simplify the fraction: - The fraction 1298/45 cannot be simplified further.
Therefore, the total time taken by all the athletes combined is 1298/45 minutes.
Answer
The total time taken by all the athletes combined is 1298/45 minutes.

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