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\frac{2}{3}\times \frac{10}{3}=t
Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.
\frac{2\times 10}{3\times 3}=t
Multiply \frac{2}{3} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{20}{9}=t
Do the multiplications in the fraction \frac{2\times 10}{3\times 3}.
t=\frac{20}{9}
Swap sides so that all variable terms are on the left hand side.