Question

Туристы прошли свой маршрут за два дня.В первый день они прошли 3/10 маршрут и ещё 4.1/2 км, во второй день 3/5 маршрута и оставшиеся 2. 1/2 км .чему ровна длина маршрута?

Answer 1

3/10+3/5=9/10 маршрута  в частях
1-9/10=1/10 маршрута в км=2 1/2+4 1/2=7км
7:1/10=70км

Answer 2

Calculation of the Length of the Route

To determine the length of the route, we need to add up the distances covered on the first and second days.

On the first day, the tourists walked 3/10 of the route and an additional 4 1/2 km. On the second day, they walked 3/5 of the route and the remaining 2 1/2 km.

To calculate the total distance, we can add up the distances covered on each day.

The distance covered on the first day can be calculated as follows: 3/10 of the route + 4 1/2 km.

The distance covered on the second day can be calculated as follows: 3/5 of the route + 2 1/2 km.

To find the total distance, we need to add the distances covered on both days.

Let's calculate it step by step.

Calculation for the First Day

To calculate the distance covered on the first day, we need to add 3/10 of the route and 4 1/2 km.

To add fractions, we need to have a common denominator. In this case, the common denominator is 10.

Converting 4 1/2 to an improper fraction: 4 1/2 = (4 * 2 + 1) / 2 = 9/2.

Now, we can add the fractions: 3/10 + 9/2.

To add fractions, we need to have the same denominator. In this case, the denominator is 10.

Converting 9/2 to a fraction with a denominator of 10: 9/2 = (9 * 5) / (2 * 5) = 45/10.

Now, we can add the fractions: 3/10 + 45/10 = (3 + 45) / 10 = 48/10.

Simplifying the fraction: 48/10 = 24/5.

So, the distance covered on the first day is 24/5 km.

Calculation for the Second Day

To calculate the distance covered on the second day, we need to add 3/5 of the route and 2 1/2 km.

To add fractions, we need to have a common denominator. In this case, the common denominator is 5.

Converting 2 1/2 to an improper fraction: 2 1/2 = (2 * 2 + 1) / 2 = 5/2.

Now, we can add the fractions: 3/5 + 5/2.

To add fractions, we need to have the same denominator. In this case, the denominator is 5.

Converting 5/2 to a fraction with a denominator of 5: 5/2 = (5 * 5) / (2 * 5) = 25/10.

Now, we can add the fractions: 3/5 + 25/10 = (6 + 25) / 10 = 31/10.

So, the distance covered on the second day is 31/10 km.

Calculation of the Total Distance

To find the total distance, we need to add the distances covered on both days.

Adding the distances covered on the first and second days: 24/5 km + 31/10 km.

To add fractions, we need to have a common denominator. In this case, the common denominator is 10.

Converting 24/5 to a fraction with a denominator of 10: 24/5 = (24 * 2) / (5 * 2) = 48/10.

Now, we can add the fractions: 48/10 + 31/10 = (48 + 31) / 10 = 79/10.

So, the total length of the route is 79/10 km.

Therefore, the length of the route is 79/10 km.