The expression to evaluate is:

$\frac{1}{4} \times 0.25 + 0.75 - 0.3125$

Let's break this down step by step:

1. First, evaluate $\frac{1}{4} \times 0.25$: $\frac{1}{4} \times 0.25 = 0.0625$

2. Now substitute this into the expression: $0.0625 + 0.75 - 0.3125$

3. Add $0.0625$ and $0.75$: $0.0625 + 0.75 = 0.8125$

4. Finally, subtract $0.3125$ from $0.8125$: $0.8125 - 0.3125 = 0.5$

Thus, the value of the expression is:

$\boxed{0.5}$

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. What is the general process for solving expressions involving fractions and decimals?
2. How do you convert a fraction to a decimal if needed?
3. Can you evaluate the expression with different values for the terms, such as replacing $0.25$ with another decimal?
4. How would the calculation change if you multiply $\frac{1}{4}$ by a larger number like $1.25$?
5. What happens to the result if we add more terms to the expression, for example $+ 0.2$?

Tip: When solving expressions with fractions and decimals, it's often easier to convert fractions into decimal form for quicker calculations.