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The common denominator of the two fractions is: 396

$ \frac{13}{44 }= \frac{(9*13)}{(9*44)} =\frac{ 117}{396} $

$ \frac{19}{36 }= \frac{(11*19)}{(11*36)} =\frac{ 209}{396} $

Fractions adjusted to a common denominator

$ \frac{13}{44 }+\frac{ 19}{36 }=\frac{ 117}{396 }+\frac{ 209}{396} $

$ \frac{117}{396 }+\frac{ 209}{396 }= \frac{(117+209)}{396} $

$ \frac{(117+209)}{396 }=\frac{ 326}{396} $

$ \frac{326}{396 }=\frac{ 163}{198} $

$ $

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