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\frac{8+1}{4}+\frac{30}{100}
Multiply 2 and 4 to get 8.
\frac{9}{4}+\frac{30}{100}
Add 8 and 1 to get 9.
\frac{9}{4}+\frac{3}{10}
Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.
\frac{45}{20}+\frac{6}{20}
Least common multiple of 4 and 10 is 20. Convert \frac{9}{4} and \frac{3}{10} to fractions with denominator 20.
\frac{45+6}{20}
Since \frac{45}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.
\frac{51}{20}
Add 45 and 6 to get 51.