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\frac{1}{20}=\frac{10}{100}x
Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.
\frac{1}{20}=\frac{1}{10}x
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
\frac{1}{10}x=\frac{1}{20}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{20}\times 10
Multiply both sides by 10, the reciprocal of \frac{1}{10}.
x=\frac{10}{20}
Multiply \frac{1}{20} and 10 to get \frac{10}{20}.
x=\frac{1}{2}
Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.