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\frac{4.5}{4}+1
Divide 1 by 1 to get 1.
\frac{45}{40}+1
Expand \frac{4.5}{4} by multiplying both numerator and the denominator by 10.
\frac{9}{8}+1
Reduce the fraction \frac{45}{40} to lowest terms by extracting and canceling out 5.
\frac{9}{8}+\frac{8}{8}
Convert 1 to fraction \frac{8}{8}.
\frac{9+8}{8}
Since \frac{9}{8} and \frac{8}{8} have the same denominator, add them by adding their numerators.
\frac{17}{8}
Add 9 and 8 to get 17.