Question

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

Explanation:

Step1: Isolate the variable \( t \)

To solve for \( t \), we need to divide both sides of the equation \(\frac{3}{4}t = \frac{2}{3}\) by \(\frac{3}{4}\), which is equivalent to multiplying both sides by the reciprocal of \(\frac{3}{4}\), i.e., \(\frac{4}{3}\).

$$ t=\frac{2}{3}\times\frac{4}{3} $$

Step2: Multiply the fractions

When multiplying fractions, we multiply the numerators together and the denominators together. So, for \(\frac{2}{3}\times\frac{4}{3}\), the numerator is \(2\times4 = 8\) and the denominator is \(3\times3=9\).

$$ t = \frac{8}{9} $$

Answer:

\(t=\frac{8}{9}\)