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\frac{43}{48}-\frac{9}{48}
Least common multiple of 48 and 16 is 48. Convert \frac{43}{48} and \frac{3}{16} to fractions with denominator 48.
\frac{43-9}{48}
Since \frac{43}{48} and \frac{9}{48} have the same denominator, subtract them by subtracting their numerators.
\frac{34}{48}
Subtract 9 from 43 to get 34.
\frac{17}{24}
Reduce the fraction \frac{34}{48} to lowest terms by extracting and canceling out 2.