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\frac{70+3}{10}+\frac{1\times 4+3}{4}
Multiply 7 and 10 to get 70.
\frac{73}{10}+\frac{1\times 4+3}{4}
Add 70 and 3 to get 73.
\frac{73}{10}+\frac{4+3}{4}
Multiply 1 and 4 to get 4.
\frac{73}{10}+\frac{7}{4}
Add 4 and 3 to get 7.
\frac{146}{20}+\frac{35}{20}
Least common multiple of 10 and 4 is 20. Convert \frac{73}{10} and \frac{7}{4} to fractions with denominator 20.
\frac{146+35}{20}
Since \frac{146}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.
\frac{181}{20}
Add 146 and 35 to get 181.