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\frac{5}{2}\times 0.25=50x
Multiply both sides by 0.25.
\frac{5}{2}\times \frac{1}{4}=50x
Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{5\times 1}{2\times 4}=50x
Multiply \frac{5}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{8}=50x
Do the multiplications in the fraction \frac{5\times 1}{2\times 4}.
50x=\frac{5}{8}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{5}{8}}{50}
Divide both sides by 50.
x=\frac{5}{8\times 50}
Express \frac{\frac{5}{8}}{50} as a single fraction.
x=\frac{5}{400}
Multiply 8 and 50 to get 400.
x=\frac{1}{80}
Reduce the fraction \frac{5}{400} to lowest terms by extracting and canceling out 5.