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
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