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a^{2}-\frac{4}{3}ab+1b^{2}
Divide 4 by 4 to get 1.
a^{2}-\frac{4}{3}ab+b^{2}
For any term t, t\times 1=t and 1t=t.
\frac{3a^{2}-4ab+3b^{2}}{3}
Factor out \frac{1}{3}.