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75.5+\frac{2}{5}
Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.
\frac{151}{2}+\frac{2}{5}
Convert decimal number 75.5 to fraction \frac{755}{10}. Reduce the fraction \frac{755}{10} to lowest terms by extracting and canceling out 5.
\frac{755}{10}+\frac{4}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{151}{2} and \frac{2}{5} to fractions with denominator 10.
\frac{755+4}{10}
Since \frac{755}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.
\frac{759}{10}
Add 755 and 4 to get 759.