$\frac{2}{9} \times \frac{1}{4}=$

Step 1 ：Given the problem is to multiply the fractions \(\frac{2}{9}\) and \(\frac{1}{4}\).

Step 2 ：To multiply fractions, we simply multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.

Step 3 ：The numerator is \(2 \times 1 = 2\) and the denominator is \(9 \times 4 = 36\). So the result is \(\frac{2}{36}\).

Step 4 ：Simplify the fraction \(\frac{2}{36}\) to get the decimal value, which is approximately 0.05555555555555555.

Step 5 ：So, the final answer is \(\boxed{0.05555555555555555}\).