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\frac{9+4}{9}\times \frac{2\times 4+10}{4}
Multiply 1 and 9 to get 9.
\frac{13}{9}\times \frac{2\times 4+10}{4}
Add 9 and 4 to get 13.
\frac{13}{9}\times \frac{8+10}{4}
Multiply 2 and 4 to get 8.
\frac{13}{9}\times \frac{18}{4}
Add 8 and 10 to get 18.
\frac{13}{9}\times \frac{9}{2}
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.
\frac{13\times 9}{9\times 2}
Multiply \frac{13}{9} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{13}{2}
Cancel out 9 in both numerator and denominator.