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\frac{438\times 100}{55}\times 9
Divide 438 by \frac{55}{100} by multiplying 438 by the reciprocal of \frac{55}{100}.
\frac{43800}{55}\times 9
Multiply 438 and 100 to get 43800.
\frac{8760}{11}\times 9
Reduce the fraction \frac{43800}{55} to lowest terms by extracting and canceling out 5.
\frac{8760\times 9}{11}
Express \frac{8760}{11}\times 9 as a single fraction.
\frac{78840}{11}
Multiply 8760 and 9 to get 78840.