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3\times \frac{2\times 3+2}{3}=1\times 6+2
Multiply both sides of the equation by 6, the least common multiple of 2,6.
3\times \frac{6+2}{3}=1\times 6+2
Multiply 2 and 3 to get 6.
3\times \frac{8}{3}=1\times 6+2
Add 6 and 2 to get 8.
8=1\times 6+2
Cancel out 3 and 3.
8=6+2
Multiply 1 and 6 to get 6.
8=8
Add 6 and 2 to get 8.
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Compare 8 and 8.