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\frac{10\times 35}{22^{2}}
Cancel out 2 in both numerator and denominator.
\frac{350}{22^{2}}
Multiply 10 and 35 to get 350.
\frac{350}{484}
Calculate 22 to the power of 2 and get 484.
\frac{175}{242}
Reduce the fraction \frac{350}{484} to lowest terms by extracting and canceling out 2.