https://file.aiquickdraw.com/mathbot/file/17272734643730361hgtj.jpg

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.

Evaluate the expression: (1/4) × 0.25 + 0.75 - 0.3125

This problem involves evaluating an arithmetic expression that includes multiplying a fraction by a decimal, and performing addition and subtraction of decimals. Follow the step-by-step solution to understand key mathematical concepts. Suitable for students in grades 6-8.

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