Answer :

Alright, let’s break down the solution to the given problem step-by-step:

1. Evaluate each fraction individually:

- The first fraction is [tex]\(\frac{3}{2}\)[/tex]. Simplifying this, we get:
[tex]\[ \frac{3}{2} = 1.5 \][/tex]

- The second fraction is [tex]\(\frac{10}{5}\)[/tex]. Simplifying this, we get:
[tex]\[ \frac{10}{5} = 2.0 \][/tex]

- The third fraction is [tex]\(\frac{5}{4}\)[/tex]. Simplifying this, we get:
[tex]\[ \frac{5}{4} = 1.25 \][/tex]

2. Sum the simplified fractions:

- Adding the values together:
[tex]\[ 1.5 + 2.0 + 1.25 \][/tex]

- First, add [tex]\(1.5\)[/tex] and [tex]\(2.0\)[/tex]:
[tex]\[ 1.5 + 2.0 = 3.5 \][/tex]

- Next, add the result [tex]\(3.5\)[/tex] to [tex]\(1.25\)[/tex]:
[tex]\[ 3.5 + 1.25 = 4.75 \][/tex]

3. Conclusion:

The sum of the fractions [tex]\(\frac{3}{2} + \frac{10}{5} + \frac{5}{4}\)[/tex] is:
[tex]\[ \boxed{4.75} \][/tex]