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]
