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\frac{24\times 7}{5\times 7+1}
Divide 24 by \frac{5\times 7+1}{7} by multiplying 24 by the reciprocal of \frac{5\times 7+1}{7}.
\frac{168}{5\times 7+1}
Multiply 24 and 7 to get 168.
\frac{168}{35+1}
Multiply 5 and 7 to get 35.
\frac{168}{36}
Add 35 and 1 to get 36.
\frac{14}{3}
Reduce the fraction \frac{168}{36} to lowest terms by extracting and canceling out 12.