Question

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding the length of the directed line segment?

The ratio given is part to whole, but fractions compare part to part.
The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
The ratio given is part to whole, but the associated fraction is .

Answer 1

it is C

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4." is the correct answer.

Answer 2

Third choice "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4." is the correct answer.

Explanation:

We know that partitioning a directed line segment into a ratio of 1:3 means that we are dividing the given line segment into two parts whose first part is 1 times the of some quantity while the another part is 3 times of the same quantity. So basically we are comparing part to part in by ratio. And total number of parts in the whole will be just sum of both so we get 1+3=4

Hence choice (3) is correct answer.

"The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."