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\frac{7}{20}x=2\times \frac{73}{100}y
Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.
\frac{7}{20}x=\frac{73}{50}y
Multiply 2 and \frac{73}{100} to get \frac{73}{50}.
\frac{7}{20}x=\frac{73y}{50}
The equation is in standard form.
\frac{\frac{7}{20}x}{\frac{7}{20}}=\frac{73y}{\frac{7}{20}\times 50}
Divide both sides of the equation by \frac{7}{20}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{73y}{\frac{7}{20}\times 50}
Dividing by \frac{7}{20} undoes the multiplication by \frac{7}{20}.
x=\frac{146y}{35}
Divide \frac{73y}{50} by \frac{7}{20} by multiplying \frac{73y}{50} by the reciprocal of \frac{7}{20}.
\frac{7}{20}x=2\times \frac{73}{100}y
Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.
\frac{7}{20}x=\frac{73}{50}y
Multiply 2 and \frac{73}{100} to get \frac{73}{50}.
\frac{73}{50}y=\frac{7}{20}x
Swap sides so that all variable terms are on the left hand side.
\frac{73}{50}y=\frac{7x}{20}
The equation is in standard form.
\frac{\frac{73}{50}y}{\frac{73}{50}}=\frac{7x}{\frac{73}{50}\times 20}
Divide both sides of the equation by \frac{73}{50}, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{7x}{\frac{73}{50}\times 20}
Dividing by \frac{73}{50} undoes the multiplication by \frac{73}{50}.
y=\frac{35x}{146}
Divide \frac{7x}{20} by \frac{73}{50} by multiplying \frac{7x}{20} by the reciprocal of \frac{73}{50}.