(5 5/6 +8 2/9) :25,3-3 1/9 +1,5:27/28

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To solve this arithmetic expression step by step:

Add 5 5/6 and 8 2/9:
5 5/6 + 8 2/9
Convert both numbers to improper fractions:
35/6 + 74/9
Get a common denominator of 18:
(353 + 742)/18
(105 + 148)/18
253/18
Simplify:
253/18

Divide 253/18 by 25:
253/18 ÷ 25
Convert 25 to a fraction with a denominator of 18:
(253/18) ÷ (450/18)
Multiply by the reciprocal:
(253/18) * (18/450)
253/450

Subtract 3 1/9 from 3:
3 - 3 1/9
Convert both numbers to improper fractions:
27/9 - 28/9
(27-28)/9
-1/9

Add 1.5 to 27/28:
1.5 + 27/28
Convert 1.5 to a fraction:
3/2
Get a common denominator of 28:
(3*14 + 27)/28
(42 + 27)/28
69/28

Therefore, the final expression is:
253/450 - 1/9 + 69/28