What is (((\frac{2xt)/3)/(x/(4t)))}{(2t)/3} ?

The solution to (((\frac{2xt)/3)/(x/(4t)))}{(2t)/3} is 4t

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simplify (((\frac{2xt)/3)/(x/(4t)))}{(2t)/3}

simplify

\frac{( \frac{\frac{2 x t}{3}}{\frac{x}{4 t}} )}{\frac{2 t}{3}}

4 t

Solution steps

\frac{\frac{\frac{2 x t}{3}}{\frac{x}{4 t}}}{\frac{2 t}{3}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{\frac{2 x t}{3} \cdot 3}{\frac{x}{4 t} \cdot 2 t}

Cancel

\frac{\frac{2 x t}{3} \cdot 3}{\frac{x}{4 t} \cdot 2 t} : 4 t

= 4 t

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\frac{1}{4} (2 + v) = 3

What is (((\frac{2xt)/3)/(x/(4t)))}{(2t)/3} ?
The solution to (((\frac{2xt)/3)/(x/(4t)))}{(2t)/3} is 4t