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\frac{1}{2}+\frac{2}{90}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{1}{2}+\frac{1}{45}
Reduce the fraction \frac{2}{90} to lowest terms by extracting and canceling out 2.
\frac{45}{90}+\frac{2}{90}
Least common multiple of 2 and 45 is 90. Convert \frac{1}{2} and \frac{1}{45} to fractions with denominator 90.
\frac{45+2}{90}
Since \frac{45}{90} and \frac{2}{90} have the same denominator, add them by adding their numerators.
\frac{47}{90}
Add 45 and 2 to get 47.