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\frac{3\times 7+1}{7\times 11}
Express \frac{\frac{3\times 7+1}{7}}{11} as a single fraction.
\frac{21+1}{7\times 11}
Multiply 3 and 7 to get 21.
\frac{22}{7\times 11}
Add 21 and 1 to get 22.
\frac{22}{77}
Multiply 7 and 11 to get 77.
\frac{2}{7}
Reduce the fraction \frac{22}{77} to lowest terms by extracting and canceling out 11.