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7.4+\frac{2}{3}
Add 5.4 and 2 to get 7.4.
\frac{37}{5}+\frac{2}{3}
Convert decimal number 7.4 to fraction \frac{74}{10}. Reduce the fraction \frac{74}{10} to lowest terms by extracting and canceling out 2.
\frac{111}{15}+\frac{10}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{37}{5} and \frac{2}{3} to fractions with denominator 15.
\frac{111+10}{15}
Since \frac{111}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.
\frac{121}{15}
Add 111 and 10 to get 121.