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\frac{5.95}{9\times 0.1^{2}\times 100}
Subtract 5.69 from 11.64 to get 5.95.
\frac{5.95}{9\times 0.01\times 100}
Calculate 0.1 to the power of 2 and get 0.01.
\frac{5.95}{0.09\times 100}
Multiply 9 and 0.01 to get 0.09.
\frac{5.95}{9}
Multiply 0.09 and 100 to get 9.
\frac{595}{900}
Expand \frac{5.95}{9} by multiplying both numerator and the denominator by 100.
\frac{119}{180}
Reduce the fraction \frac{595}{900} to lowest terms by extracting and canceling out 5.