1. The problem is to evaluate the expression $1:3:5:2 \times 1/4$. 2. First, we need to clarify the meaning of the colons ":" in the expression. Typically, colons can represent ratios or division. Assuming each colon represents division, the expression becomes $1 \div 3 \div 5 \div 2 \times \frac{1}{4}$. 3. According to the order of operations, division and multiplication are performed from left to right. 4. Calculate step-by-step: - $1 \div 3 = \frac{1}{3}$ - $\frac{1}{3} \div 5 = \frac{1}{3} \times \frac{1}{5} = \frac{1}{15}$ - $\frac{1}{15} \div 2 = \frac{1}{15} \times \frac{1}{2} = \frac{1}{30}$ - $\frac{1}{30} \times \frac{1}{4} = \frac{1}{120}$ 5. Therefore, the value of the expression is $\frac{1}{120}$.