Sure, let's break down the addition of these fractions step-by-step.
1. Firstly, let's convert each fraction to its decimal form:
- [tex]\(\frac{3}{2}\)[/tex] can be converted to decimal as [tex]\(1.5\)[/tex].
- [tex]\(\frac{10}{5}\)[/tex] can be converted to decimal as [tex]\(2.0\)[/tex].
- [tex]\(\frac{5}{4}\)[/tex] can be converted to decimal as [tex]\(1.25\)[/tex].
2. Now, we add the decimal equivalents of these fractions:
- Start with the first two fractions:
[tex]\[
1.5 + 2.0 = 3.5
\][/tex]
- Add the result to the third fraction:
[tex]\[
3.5 + 1.25 = 4.75
\][/tex]
3. Therefore, the sum of [tex]\(\frac{3}{2} + \frac{10}{5} + \frac{5}{4}\)[/tex] is [tex]\(4.75\)[/tex].
So, the step-by-step solution to [tex]\(\frac{3}{2} + \frac{10}{5} + \frac{5}{4}\)[/tex] is:
[tex]\[
\boxed{4.75}
\][/tex]
