What value of $t$ is the solution to the equation below? $$\frac{3}{4}t=\frac{5}{3}$$

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Rewrite the fraction and cross multiply.

$$\frac{3}{4}t=\frac{5}{3}$$ $$\frac{3t}{4}\xcancel{=}\frac{5}{3}$$ $$3t(3)=4(5)$$ $$9t=20$$ $$\boxed{t=\frac{20}{9}}$$

Multiply both sides by the reciprocal of the $t$ coefficient. (Same as dividing each side by the coefficient)

$$\frac{3}{4}t=\frac{5}{3}$$ $$\left(\frac{4}{3}\right)\frac{3}{4}t=\frac{5}{3}\left(\frac{4}{3}\right)$$ $$\left( \frac{\cancel{4}}{\bcancel{3}}\right)\frac{\bcancel{3}}{\cancel{4}}t=\frac{5}{3}\left(\frac{4}{3}\right)$$ $$t=\frac{5\cdot4}{3\cdot3}$$ $$\boxed{t=\frac{20}{9}}$$