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\frac{550}{125}=\frac{x}{2.75}
Expand \frac{5.5}{1.25} by multiplying both numerator and the denominator by 100.
\frac{22}{5}=\frac{x}{2.75}
Reduce the fraction \frac{550}{125} to lowest terms by extracting and canceling out 25.
\frac{x}{2.75}=\frac{22}{5}
Swap sides so that all variable terms are on the left hand side.
x=\frac{22}{5}\times 2.75
Multiply both sides by 2.75.
x=\frac{22}{5}\times \frac{11}{4}
Convert decimal number 2.75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.
x=\frac{22\times 11}{5\times 4}
Multiply \frac{22}{5} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.
x=\frac{242}{20}
Do the multiplications in the fraction \frac{22\times 11}{5\times 4}.
x=\frac{121}{10}
Reduce the fraction \frac{242}{20} to lowest terms by extracting and canceling out 2.