Thank you for the clarification! The correct expression is:

\[
5.3 \times \frac{4}{25} + 2 \times \frac{2}{5}
\]

Let's solve this step by step:

### Step 1: Simplify \( 5.3 \times \frac{4}{25} \)
First, multiply \( 5.3 \) by \( \frac{4}{25} \):
\[
5.3 \times \frac{4}{25} = \frac{5.3 \times 4}{25} = \frac{21.2}{25}
\]

### Step 2: Simplify \( 2 \times \frac{2}{5} \)
Now, multiply \( 2 \) by \( \frac{2}{5} \):
\[
2 \times \frac{2}{5} = \frac{4}{5}
\]

### Step 3: Add the two terms
To add \( \frac{21.2}{25} \) and \( \frac{4}{5} \), we need a common denominator. The least common denominator between 25 and 5 is 25. We can rewrite \( \frac{4}{5} \) as:
\[
\frac{4}{5} = \frac{4 \times 5}{5 \times 5} = \frac{20}{25}
\]

Now, we add the two fractions:
\[
\frac{21.2}{25} + \frac{20}{25} = \frac{21.2 + 20}{25} = \frac{41.2}{25}
\]

### Step 4: Simplify the result
Now, divide \( 41.2 \) by \( 25 \):
\[
\frac{41.2}{25} = 1.648
\]

### Final Answer:
The value of the expression \( 5.3 \times \frac{4}{25} + 2 \times \frac{2}{5} \) is \( 1.648 \).

Would you like more details or have any further questions?

Here are 5 related questions to deepen your understanding:
1. How can you add fractions with different denominators quickly?
2. What is the significance of finding the least common denominator?
3. How would you handle a case with mixed numbers instead of improper fractions?
4. Can you explain the steps for converting fractions into decimals?
5. How would the result change if the second term was multiplied by a different number, like \( 3 \times \frac{2}{5} \)?

**Tip**: When adding fractions with different denominators, always try to find the least common denominator to make calculations easier.

Learn how to calculate the expression 5.3 times 4/25 plus 2 times 2/5 step-by-step. This problem involves multiplying fractions and adding the results. Suitable for students in Grades 6-8.

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