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Sagot :
Let's go through the process of multiplying the given fractions and integer step-by-step.
First, simplify each fraction and perform the multiplications.
### Step 1: Simplify the fractions
1. Fraction [tex]\(\frac{-2}{-5}\)[/tex]:
[tex]\[ \frac{-2}{-5} = \frac{2}{5} = 0.4 \][/tex]
2. Fraction [tex]\(\frac{9}{3}\)[/tex]:
[tex]\[ \frac{9}{3} = 3 \][/tex]
### Step 2: Multiply the simplified fractions and the integer
Now, we need to multiply the simplified fractions and the integer together:
[tex]\[ 0.4 \cdot 8 \cdot 3 \][/tex]
### Step 3: Perform the multiplication in steps
1. Multiply [tex]\(0.4\)[/tex] by [tex]\(8\)[/tex]:
[tex]\[ 0.4 \cdot 8 = 3.2 \][/tex]
2. Now, multiply the result by [tex]\(3\)[/tex]:
[tex]\[ 3.2 \cdot 3 = 9.6 \][/tex]
Therefore, the result of multiplying the expression [tex]\(\frac{-2}{-5} \cdot 8 \cdot \frac{9}{3}\)[/tex] is
[tex]\[ 9.6 \][/tex]
First, simplify each fraction and perform the multiplications.
### Step 1: Simplify the fractions
1. Fraction [tex]\(\frac{-2}{-5}\)[/tex]:
[tex]\[ \frac{-2}{-5} = \frac{2}{5} = 0.4 \][/tex]
2. Fraction [tex]\(\frac{9}{3}\)[/tex]:
[tex]\[ \frac{9}{3} = 3 \][/tex]
### Step 2: Multiply the simplified fractions and the integer
Now, we need to multiply the simplified fractions and the integer together:
[tex]\[ 0.4 \cdot 8 \cdot 3 \][/tex]
### Step 3: Perform the multiplication in steps
1. Multiply [tex]\(0.4\)[/tex] by [tex]\(8\)[/tex]:
[tex]\[ 0.4 \cdot 8 = 3.2 \][/tex]
2. Now, multiply the result by [tex]\(3\)[/tex]:
[tex]\[ 3.2 \cdot 3 = 9.6 \][/tex]
Therefore, the result of multiplying the expression [tex]\(\frac{-2}{-5} \cdot 8 \cdot \frac{9}{3}\)[/tex] is
[tex]\[ 9.6 \][/tex]
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