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\frac{45}{2}+\frac{100}{3}
Reduce the fraction \frac{90}{4} to lowest terms by extracting and canceling out 2.
\frac{135}{6}+\frac{200}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{45}{2} and \frac{100}{3} to fractions with denominator 6.
\frac{135+200}{6}
Since \frac{135}{6} and \frac{200}{6} have the same denominator, add them by adding their numerators.
\frac{335}{6}
Add 135 and 200 to get 335.