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\frac{16}{100}+\frac{25}{100}
Least common multiple of 25 and 4 is 100. Convert \frac{4}{25} and \frac{1}{4} to fractions with denominator 100.
\frac{16+25}{100}
Since \frac{16}{100} and \frac{25}{100} have the same denominator, add them by adding their numerators.
\frac{41}{100}
Add 16 and 25 to get 41.