Question

A point is plotted on the number line at 2 2/5 . A second point is plotted at −4 3/4 .

What is the length of a line segment joining these points?

What is the answer as a simplified mixed number?

Answer 1

Here, we are required to determine the length of a line segment joining the two points.

• The length of the line segment is; 143/20

• The answer as a simplified modes number is; 7 3/4

The first point is plotted on the point, 2 2/5.

i.e on point 12/5.

The second point is at -4 3/4.

i.e on point (-19/4).

The length of a line segment joining these points is given by;

12/5 - (-19/4) which yields;

(48+95)/20 = 143/20

Ultimately, the length of the line segment is;

143/20

To express the answer as a simplified modes number is; 7 3/4.

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