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\frac{44+7}{11}+\frac{8\times 11+10}{11}
Multiply 4 and 11 to get 44.
\frac{51}{11}+\frac{8\times 11+10}{11}
Add 44 and 7 to get 51.
\frac{51}{11}+\frac{88+10}{11}
Multiply 8 and 11 to get 88.
\frac{51}{11}+\frac{98}{11}
Add 88 and 10 to get 98.
\frac{51+98}{11}
Since \frac{51}{11} and \frac{98}{11} have the same denominator, add them by adding their numerators.
\frac{149}{11}
Add 51 and 98 to get 149.