Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding One-third the length of the directed lin

Question

2 years ago

5

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding One-third the length of the directed lin

e 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 One-third.

Mathematics

1 answer:

GrogVix [38] · Answer 1 · 2023-10-02T22:25:16+03:00

The reason why partitioning and fractioning are different is because; The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

<h3>Why is partitioning different from fractioning?</h3>

It follows from the task content that a close analysis of the statement of ratios; 1:3 implies that the whole is divided into four parts; 1+3 = 4.

On the contrary, one-third simply means 1 out of 3 equal parts of the line.