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6\times 1^{2}-3\times \frac{1}{3}\times 2^{2}+5
Multiply 3 and 2 to get 6.
6\times 1-3\times \frac{1}{3}\times 2^{2}+5
Calculate 1 to the power of 2 and get 1.
6-3\times \frac{1}{3}\times 2^{2}+5
Multiply 6 and 1 to get 6.
6-2^{2}+5
Cancel out 3 and 3.
6-4+5
Calculate 2 to the power of 2 and get 4.
2+5
Subtract 4 from 6 to get 2.
7
Add 2 and 5 to get 7.