Let’s evaluate the given expression:

$1 \times \frac{1}{5} - \frac{2}{5} \times \frac{1}{4}$

Step 1: Simplify each term

• $1 \times \frac{1}{5} = \frac{1}{5}$
• $\frac{2}{5} \times \frac{1}{4} = \frac{2}{20} = \frac{1}{10}$

Step 2: Perform subtraction

Now subtract the two fractions: $\frac{1}{5} - \frac{1}{10}$

Find a common denominator for $5$ and $10$, which is $10$: $\frac{1}{5} = \frac{2}{10}$

So, $\frac{2}{10} - \frac{1}{10} = \frac{1}{10}$

Final Answer:

$\boxed{\frac{1}{10}}$

Would you like further clarification or another example?

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Questions:

1. How do you handle multiplication of fractions?
2. What are common denominators, and why are they needed?
3. Can subtraction of fractions ever result in a whole number?
4. How would this change if the second term were addition instead of subtraction?
5. How can this calculation be useful in real-world scenarios?

Tip:

Always simplify fractions at each step to avoid unnecessary complexity!