Answer :
Certainly! Let's decode the message using the instructions and the provided results.
### Step 1: Addition to Find the First Letter
1. Problem Statement: Add [tex]\(1 \frac{2}{5}\)[/tex] and [tex]\(\frac{3}{8}\)[/tex].
2. Convert Mixed Number to Improper Fraction:
- [tex]\(1 \frac{2}{5} = 1 + \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5}\)[/tex].
3. Add the Fractions:
- First, ensure the fractions have a common denominator:
- Convert [tex]\(\frac{7}{5}\)[/tex] to a decimal: [tex]\(\frac{7}{5} = 1.4\)[/tex].
- [tex]\(\frac{3}{8}\)[/tex] as a decimal is 0.375.
- Now, add: [tex]\(1.4 + 0.375 = 1.775\)[/tex].
4. Decode the Letter:
- With the total of 1.775, we look up the closest value in the decoder table. However, none of the letters exactly match this sum, so the decoded letter is uncertain based on this step alone.
### Step 2: Addition to Find the Second Letter
1. Problem Statement: Add [tex]\(1\)[/tex] and [tex]\(4\)[/tex].
2. Perform the Addition:
- [tex]\(1 + 4 = 5\)[/tex].
3. Decode the Letter:
- Look at the decoder table for the value 5, which corresponds to the letter 'C'.
### Conclusion
From these steps, we found:
- The first calculation results in a sum that doesn’t match perfectly with any letter from the decoder table.
- The result of the second calculation, 5, decodes to the letter 'C'.
Thus, the hidden message starts or contains the letter 'C'. However, without further exact matches from the first calculation, the complete answer remains partly undeciphered.
### Step 1: Addition to Find the First Letter
1. Problem Statement: Add [tex]\(1 \frac{2}{5}\)[/tex] and [tex]\(\frac{3}{8}\)[/tex].
2. Convert Mixed Number to Improper Fraction:
- [tex]\(1 \frac{2}{5} = 1 + \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5}\)[/tex].
3. Add the Fractions:
- First, ensure the fractions have a common denominator:
- Convert [tex]\(\frac{7}{5}\)[/tex] to a decimal: [tex]\(\frac{7}{5} = 1.4\)[/tex].
- [tex]\(\frac{3}{8}\)[/tex] as a decimal is 0.375.
- Now, add: [tex]\(1.4 + 0.375 = 1.775\)[/tex].
4. Decode the Letter:
- With the total of 1.775, we look up the closest value in the decoder table. However, none of the letters exactly match this sum, so the decoded letter is uncertain based on this step alone.
### Step 2: Addition to Find the Second Letter
1. Problem Statement: Add [tex]\(1\)[/tex] and [tex]\(4\)[/tex].
2. Perform the Addition:
- [tex]\(1 + 4 = 5\)[/tex].
3. Decode the Letter:
- Look at the decoder table for the value 5, which corresponds to the letter 'C'.
### Conclusion
From these steps, we found:
- The first calculation results in a sum that doesn’t match perfectly with any letter from the decoder table.
- The result of the second calculation, 5, decodes to the letter 'C'.
Thus, the hidden message starts or contains the letter 'C'. However, without further exact matches from the first calculation, the complete answer remains partly undeciphered.