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\frac{x}{2.2}=\frac{25}{22}
Reduce the fraction \frac{100}{88} to lowest terms by extracting and canceling out 4.
x=\frac{25}{22}\times 2.2
Multiply both sides by 2.2.
x=\frac{25}{22}\times \frac{11}{5}
Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.
x=\frac{25\times 11}{22\times 5}
Multiply \frac{25}{22} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{275}{110}
Do the multiplications in the fraction \frac{25\times 11}{22\times 5}.
x=\frac{5}{2}
Reduce the fraction \frac{275}{110} to lowest terms by extracting and canceling out 55.