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\frac{9+4}{9}\times \frac{27}{26}-1
Multiply 1 and 9 to get 9.
\frac{13}{9}\times \frac{27}{26}-1
Add 9 and 4 to get 13.
\frac{13\times 27}{9\times 26}-1
Multiply \frac{13}{9} times \frac{27}{26} by multiplying numerator times numerator and denominator times denominator.
\frac{351}{234}-1
Do the multiplications in the fraction \frac{13\times 27}{9\times 26}.
\frac{3}{2}-1
Reduce the fraction \frac{351}{234} to lowest terms by extracting and canceling out 117.
\frac{3}{2}-\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
\frac{3-2}{2}
Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{2}
Subtract 2 from 3 to get 1.