3:2/3=21:4 2/3

To solve the equation \( \frac{3}{2} / 3 = \frac{21}{4} \frac{2}{3} \), we first need to clarify the expressions involved and compute step by step.

1. Calculate the left side: \[ \frac{3}{2} / 3 = \frac{3}{2} \times \frac{1}{3} = \frac{3 \times 1}{2 \times 3} = \frac{3}{6} = \frac{1}{2} \]

2. Next, compute the right side: \[ \frac{21}{4} \times \frac{2}{3} = \frac{21 \times 2}{4 \times 3} = \frac{42}{12} = \frac{7}{2} \]

Now we have: \[ \frac{1}{2} \quad \text{and} \quad \frac{7}{2} \]

Thus, we need to check if \( \frac{1}{2} = \frac{7}{2} \), which is not true. The expressions are not equal.

Therefore, the equation \( \frac{3}{2} / 3 = \frac{21}{4} \frac{2}{3} \) does not hold true.