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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? Enter your answer as a simplified mixed number in the box.

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mhanifa

Answer:

  • 7 3/20

Step-by-step explanation:

The distance is the absolute value of the difference of the coordinates:

  • 2 2/5 - (-4 3/4) =
  • 2 2/5 + 4 3/4 =
  • 6 + 2/5 + 3/4 =
  • 6 + 8/20 + 15/20 =
  • 6 23/20 =
  • 7 3/20

Distance=

[tex]\\ \sf\longmapsto \left|2\dfrac{2}{5}-(-4\dfrac{3}{4})\right|[/tex]

[tex]\\ \sf\longmapsto \left|2\dfrac{2}{5}+4\dfrac{3}{4}\right|[/tex]

[tex]\\ \sf\longmapsto \left|\dfrac{12}{5}+\dfrac{19}{4}\right|[/tex]

[tex]\\ \sf\longmapsto \left|\dfrac{48+95}{20}\right|[/tex]

[tex]\\ \sf\longmapsto \left|\dfrac{143}{20}\right|[/tex]

[tex]\\ \sf\longmapsto \left|7\dfrac{3}{20}\right|[/tex]

[tex]\\ \sf\longmapsto 7\dfrac{3}{20}[/tex]

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