If the length of a stick is 5m and the stick was divided into two in the ratio 2:3. What is length of the smaller one?

We can use ratios to solve the problem. If the stick was divided into two in the ratio 2:3, that means the smaller part is 2/5 of the whole stick and the larger part is 3/5 of the whole stick.

So, the length of the smaller part is:

2/5 x 5m = 2m

Therefore, the length of the smaller part is 2m.

To find the length of the smaller piece of the stick, we need to determine the ratio in which it is divided and calculate its length.

Given that the stick was divided in the ratio 2:3, it means the smaller piece corresponds to 2 parts out of a total of 2+3=5 parts.

To calculate the length of the smaller piece, we can use the proportion:

(smaller piece length) / (total stick length) = (ratio of smaller piece) / (total ratio)

Let's substitute the values into the equation:
(smaller piece length) / 5m = 2 / 5

To solve for the length of the smaller piece, we cross multiply and solve for the unknown:
(smaller piece length) = (2 / 5) x 5m
(smaller piece length) = 2m

Therefore, the length of the smaller piece of the stick is 2 meters.