Question

Find the distance between each pair of numbers on the number line; then find the coordinate of their midpoint.
$-\frac{2}{3} and \frac{5}{8}$

Answer 1

Answer:

d = 1 7/24 or 31/24;  midpoint would be half of that,or 31/48

Step-by-step explanation:

Since distance is absolute value, add 2/3 and 5/8 to get the entire distance.  Midpoint is that distance divided by 2.

Answer 2

9514 1404 393

Answer:

• distance: 31/24 = 1 7/24
• midpoint: -1/48

Step-by-step explanation:

The distance between the points is the difference of their coordinates:

  5/8 -(-2/3) = 15/24 +16/24 = 31/24 = 1 7/24

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The midpoint is the average of the two coordinates: half their sum.

  (5/8 +(-2/3))/2 = (15/24 -16/24)/2 = (-1/24)(1/2) = -1/48