raidachowdhury09
raidachowdhury09 raidachowdhury09
  • 23-04-2022
  • Mathematics
contestada

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

A. 2/3
B. 1/1
C. 3/2
D. 5/3

Respuesta :

profereyes12122
profereyes12122 profereyes12122
  • 23-04-2022

Answer:

D. 5/3

Step-by-step explanation:

[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]

[tex]1/6+1/2+1/3+x=8/3[/tex]

[tex]x=8/3-1/6-1/2-1/3[/tex]

[tex]x=8/3-1/6-3/6-2/6[/tex]

[tex]x=8/3-6/6[/tex]

[tex]x=16/6-6/6=10/6[/tex]

simplified

[tex]x=5/3[/tex]

Hope this helps

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