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Solve the following expressions:

[tex]\[
\begin{array}{l}
\frac{4}{4} + \frac{5}{3} \\
\frac{2}{3} \\
\frac{5}{3} \\
\frac{5}{5}
\end{array}
\][/tex]


Sagot :

Let's go through these fractions step by step.

### Step 1: Simplifying Individual Fractions
First, let's simplify each given fraction separately:

1. \(\frac{4}{4}\):
[tex]\[ \frac{4}{4} = 1.0 \][/tex]

2. \(\frac{5}{3}\):
[tex]\[ \frac{5}{3} \approx 1.6666666666666667 \][/tex]

3. \(\frac{2}{3}\):
[tex]\[ \frac{2}{3} \approx 0.6666666666666667 \][/tex]

4. \(\frac{5}{5}\):
[tex]\[ \frac{5}{5} = 1.0 \][/tex]

### Step 2: Adding Fractions \(\frac{4}{4}\) and \(\frac{5}{3}\)
Next, we need to add the fractions \(\frac{4}{4}\) and \(\frac{5}{3}\):

[tex]\[ \frac{4}{4} + \frac{5}{3} \][/tex]

Since \(\frac{4}{4} = 1.0\) and \(\frac{5}{3} \approx 1.6666666666666667\), adding these two:

[tex]\[ 1.0 + 1.6666666666666667 \approx 2.666666666666667 \][/tex]

### Summary of Simplified Results
1. Simplified \(\frac{4}{4} = 1.0\)
2. Simplified \(\frac{5}{3} \approx 1.6666666666666667\)
3. Simplified \(\frac{2}{3} \approx 0.6666666666666667\)
4. Simplified \(\frac{5}{5} = 1.0\)

### Final Results
Let's compile the step-by-step results:

1. \(\frac{4}{4}\) simplifies to \(1.0\)
2. \(\frac{5}{3}\) simplifies to \(1.6666666666666667\)
3. Adding \(\frac{4}{4}\) and \(\frac{5}{3}\) yields \(2.666666666666667\)
4. \(\frac{5}{5}\) simplifies to \(1.0\)

So, the numerical results for each fraction calculation are:

1. \(\frac{4}{4} = 1.0\)
2. \(\frac{5}{3} \approx 1.6666666666666667\)
3. \(\frac{4}{4} + \(\frac{5}{3}\approx 2.666666666666667\)
4. [tex]\(\frac{5}{5} = 1.0\)[/tex]