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Sagot :
To solve the problem, we need to evaluate two expressions involving fractions.
### Step 1: Evaluate [tex]\(\frac{2}{5}\)[/tex]
The fraction [tex]\(\frac{2}{5}\)[/tex] represents the division of 2 by 5. When we perform this division, we obtain:
[tex]\[ \frac{2}{5} = 0.4 \][/tex]
### Step 2: Evaluate [tex]\(\left(\frac{1}{3} + \frac{2}{3}\right)\)[/tex]
We need to add [tex]\(\frac{1}{3}\)[/tex] and [tex]\(\frac{2}{3}\)[/tex].
Both fractions have a common denominator of 3, so the sum of the fractions is:
[tex]\[ \frac{1}{3} + \frac{2}{3} = \frac{1 + 2}{3} = \frac{3}{3} \][/tex]
Simplifying [tex]\(\frac{3}{3}\)[/tex], we get:
[tex]\[ \frac{3}{3} = 1 \][/tex]
### Final Results
From the above steps, we have:
- For [tex]\(\frac{2}{5}\)[/tex], the result is [tex]\(0.4\)[/tex].
- For [tex]\(\left(\frac{1}{3} + \frac{2}{3}\right)\)[/tex], the result is [tex]\(1.0\)[/tex].
Hence, the results are:
[tex]\[ (0.4, 1.0) \][/tex]
### Step 1: Evaluate [tex]\(\frac{2}{5}\)[/tex]
The fraction [tex]\(\frac{2}{5}\)[/tex] represents the division of 2 by 5. When we perform this division, we obtain:
[tex]\[ \frac{2}{5} = 0.4 \][/tex]
### Step 2: Evaluate [tex]\(\left(\frac{1}{3} + \frac{2}{3}\right)\)[/tex]
We need to add [tex]\(\frac{1}{3}\)[/tex] and [tex]\(\frac{2}{3}\)[/tex].
Both fractions have a common denominator of 3, so the sum of the fractions is:
[tex]\[ \frac{1}{3} + \frac{2}{3} = \frac{1 + 2}{3} = \frac{3}{3} \][/tex]
Simplifying [tex]\(\frac{3}{3}\)[/tex], we get:
[tex]\[ \frac{3}{3} = 1 \][/tex]
### Final Results
From the above steps, we have:
- For [tex]\(\frac{2}{5}\)[/tex], the result is [tex]\(0.4\)[/tex].
- For [tex]\(\left(\frac{1}{3} + \frac{2}{3}\right)\)[/tex], the result is [tex]\(1.0\)[/tex].
Hence, the results are:
[tex]\[ (0.4, 1.0) \][/tex]
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