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\frac{13}{2}+\frac{1}{4}
Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.
\frac{26}{4}+\frac{1}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{13}{2} and \frac{1}{4} to fractions with denominator 4.
\frac{26+1}{4}
Since \frac{26}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\frac{27}{4}
Add 26 and 1 to get 27.