Solve for m
m=\frac{1}{n}
n\neq 0
Solve for n
n=\frac{1}{m}
m\neq 0
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1=nm
Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.
nm=1
Swap sides so that all variable terms are on the left hand side.
\frac{nm}{n}=\frac{1}{n}
Divide both sides by n.
m=\frac{1}{n}
Dividing by n undoes the multiplication by n.
m=\frac{1}{n}\text{, }m\neq 0
Variable m cannot be equal to 0.
1=nm
Multiply both sides of the equation by m.
nm=1
Swap sides so that all variable terms are on the left hand side.
mn=1
The equation is in standard form.
\frac{mn}{m}=\frac{1}{m}
Divide both sides by m.
n=\frac{1}{m}
Dividing by m undoes the multiplication by m.
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