Respuesta :

Answer:

38 7/18

Step-by-step explanation:

The LCD of denominators 3, 9 and 2 is 72; all three of these divide evenly into 72.  Rewriting the original problem, we get

7 24/72 - 5 64/72 + 8 36/72

Rewriting the original quantities as improper fractions, we get

22/3 - 53/9 + 17/2

Applying the LCD, we get

24(22)       8(53)       17(36)        2764

----------- - ----------- + ---------- = ------------ = 38 7/18

   72             72           72             72

[tex]7\frac{1}{3}-5\frac{8}{9}+8\frac{1}{2}= \frac{22}{3}-\frac{53}{9} +\frac{17}{2} = \frac{132}{18}-\frac{106}{18}+\frac{153}{18} =\frac{132-106+153}{18} =\frac{179}{18}=9\frac{17}{18}[/tex]

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