Answer :

GinnyAnswer
Let's solve the problem of adding the fractions step by step.

We need to find the sum of the following fractions:

[tex]\[ \frac{3}{4} + \frac{-4}{13} + \frac{-7}{16} + \frac{5}{26} \][/tex]

To solve this, let's consider each fraction:

1. The value of [tex]\(\frac{3}{4}\)[/tex] is approximately [tex]\(0.75\)[/tex].

2. The value of [tex]\(\frac{-4}{13}\)[/tex] is approximately [tex]\(-0.3077\)[/tex].

3. The value of [tex]\(\frac{-7}{16}\)[/tex] is approximately [tex]\(-0.4375\)[/tex].

4. The value of [tex]\(\frac{5}{26}\)[/tex] is approximately [tex]\(0.1923\)[/tex].

Now, we need to sum these values:

[tex]\[ 0.75 + (-0.3077) + (-0.4375) + 0.1923 \][/tex]

Let's add them step by step:

1. Adding [tex]\(0.75\)[/tex] and [tex]\(-0.3077\)[/tex]:

[tex]\[ 0.75 - 0.3077 \approx 0.4423 \][/tex]

2. Adding the result to [tex]\(-0.4375\)[/tex]:

[tex]\[ 0.4423 - 0.4375 \approx 0.0048 \][/tex]

3. Finally, adding [tex]\(0.0048\)[/tex] to [tex]\(0.1923\)[/tex]:

[tex]\[ 0.0048 + 0.1923 \approx 0.1971 \][/tex]

Thus, the sum of the fractions is approximately:

[tex]\[ 0.1971 \][/tex]

So, the detailed step-by-step solution gives us the sum:

[tex]\[ \frac{3}{4} + \frac{-4}{13} + \frac{-7}{16} + \frac{5}{26} \approx 0.1971 \][/tex]

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