Since 1.38 is more than one, we can take the 1 off to the side and find the fraction for 0.38.
[tex]1+0.38[/tex]
Put 38 over 100 to start, since 0.38 is really "38 hundredths".
[tex]1+\frac{38}{100}[/tex]
You have to reduce 38/100 because it can be simplified.
[tex] \frac{38}{100} = \frac{19}{50}\\
1+\frac{19}{50}[/tex]
Now, this is a mixed number. This is a correct answer, since 19/50 cannot be simplified further. However, if you want an improper fraction, you must go one step further and put the 1 back in.
[tex]1= \frac{50}{50} \\
\frac{50}{50}+\frac{19}{50}[/tex]
Add the numerators:
[tex] \frac{50}{50} +\frac{19}{50}=\frac{69}{50}[/tex]