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\frac{380}{990}-\frac{253}{990}
Least common multiple of 99 and 90 is 990. Convert \frac{38}{99} and \frac{23}{90} to fractions with denominator 990.
\frac{380-253}{990}
Since \frac{380}{990} and \frac{253}{990} have the same denominator, subtract them by subtracting their numerators.
\frac{127}{990}
Subtract 253 from 380 to get 127.