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\frac{25}{157}x=\sqrt{0.5}
The equation is in standard form.
\frac{\frac{25}{157}x}{\frac{25}{157}}=\frac{\sqrt{2}}{\frac{25}{157}\times 2}
Divide both sides of the equation by \frac{25}{157}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{\sqrt{2}}{\frac{25}{157}\times 2}
Dividing by \frac{25}{157} undoes the multiplication by \frac{25}{157}.
x=\frac{157\sqrt{2}}{50}
Divide \frac{\sqrt{2}}{2} by \frac{25}{157} by multiplying \frac{\sqrt{2}}{2} by the reciprocal of \frac{25}{157}.