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Simplify the following expression:

[tex]\[ \frac{19}{5} - \left( -\frac{2}{3} \right) \][/tex]

Sagot :

GinnyAnswer
Certainly! Let's break down the problem and solve it step-by-step.

We are given the expression:

[tex]\[ \frac{19}{5} - \left(\frac{-2}{3}\right) \][/tex]

Step 1: Perform the division for each fraction separately.

First, let's calculate [tex]\(\frac{19}{5}\)[/tex].

[tex]\[ \frac{19}{5} = 3.8 \][/tex]

Next, let's calculate [tex]\(\frac{-2}{3}\)[/tex].

[tex]\[ \frac{-2}{3} \approx -0.6666666666666666 \][/tex]

Step 2: Subtract the second fraction from the first fraction.

Our expression becomes:

[tex]\[ 3.8 - (-0.6666666666666666) \][/tex]

Step 3: Subtracting a negative number is the same as adding its positive.

[tex]\[ 3.8 - (-0.6666666666666666) = 3.8 + 0.6666666666666666 \][/tex]

Step 4: Add the two values.

[tex]\[ 3.8 + 0.6666666666666666 = 4.466666666666667 \][/tex]

So, the final result is:

[tex]\[ \frac{19}{5} - \left(\frac{-2}{3}\right) = 4.466666666666667 \][/tex]

To summarize:
[tex]\[ \frac{19}{5} = 3.8 \][/tex]
[tex]\[ \frac{-2}{3} = -0.6666666666666666 \][/tex]
[tex]\[ 3.8 - (-0.6666666666666666) = 4.466666666666667 \][/tex]

Hence, the final answer is [tex]\(4.466666666666667\)[/tex].
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