Question

За первый день турист прошел 5/18 похода , за второй - 7/27, за третий- 2/9. За оставшуюся часть маршрута он прошел за четвертый день . Какую часть маршрута турист прошел за четвертый день ?)

Answer 1

Приведем к общему знаменателю это 54
15/54+14/54+12/54=41/54 это за три дня
Отсюда 54/54-41/54=13/54

Answer 2

Calculation of the Distance Covered on the Fourth Day

To calculate the distance covered on the fourth day of the hike, we need to add up the distances covered on the first, second, and third days and subtract that total from the total distance of the entire route.

Let's denote the total distance of the route as D.

The distance covered on the first day is 5/18 of the total distance, which can be represented as (5/18)D.

The distance covered on the second day is 7/27 of the total distance, which can be represented as (7/27)D.

The distance covered on the third day is 2/9 of the total distance, which can be represented as (2/9)D.

To find the distance covered on the fourth day, we subtract the sum of the distances covered on the first, second, and third days from the total distance:

Distance covered on the fourth day = Total distance - (Distance covered on the first day + Distance covered on the second day + Distance covered on the third day)

Let's calculate the distance covered on the fourth day using this formula.

Calculation:

Total distance of the route, D = Unknown

Distance covered on the first day = (5/18)D

Distance covered on the second day = (7/27)D

Distance covered on the third day = (2/9)D

Distance covered on the fourth day = D - [(5/18)D + (7/27)D + (2/9)D]

Simplifying the equation:

Distance covered on the fourth day = D - [(5/18)D + (7/27)D + (2/9)D]

Distance covered on the fourth day = D - [(15/54)D + (14/54)D + (12/54)D]

Distance covered on the fourth day = D - (41/54)D

Distance covered on the fourth day = (54/54)D - (41/54)D

Distance covered on the fourth day = (13/54)D

Therefore, the tourist covered 13/54 of the total distance on the fourth day of the hike.

Answer: The tourist covered 13/54 of the total distance on the fourth day of the hike.