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\frac{1}{\frac{4}{3}}
Rewrite \left(\frac{4}{3}\right)^{2} as \frac{4}{3}\times \frac{4}{3}. Cancel out \frac{4}{3} in both numerator and denominator.
1\times \frac{3}{4}
Divide 1 by \frac{4}{3} by multiplying 1 by the reciprocal of \frac{4}{3}.
\frac{3}{4}
Multiply 1 and \frac{3}{4} to get \frac{3}{4}.