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\frac{45}{9}+\frac{7}{9}-4\times \frac{13}{9}=0
Convert 5 to fraction \frac{45}{9}.
\frac{45+7}{9}-4\times \frac{13}{9}=0
Since \frac{45}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.
\frac{52}{9}-4\times \frac{13}{9}=0
Add 45 and 7 to get 52.
\frac{52}{9}+\frac{-4\times 13}{9}=0
Express -4\times \frac{13}{9} as a single fraction.
\frac{52}{9}+\frac{-52}{9}=0
Multiply -4 and 13 to get -52.
\frac{52}{9}-\frac{52}{9}=0
Fraction \frac{-52}{9} can be rewritten as -\frac{52}{9} by extracting the negative sign.
0=0
Subtract \frac{52}{9} from \frac{52}{9} to get 0.
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Compare 0 and 0.