Solve for m
m=\frac{2323}{9238}\approx 0.251461355
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\left(m-1\right)\times 46.46=-m\times 138.3
Variable m cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by m\left(m-1\right), the least common multiple of m,1-m.
46.46m-46.46=-m\times 138.3
Use the distributive property to multiply m-1 by 46.46.
46.46m-46.46=-138.3m
Multiply -1 and 138.3 to get -138.3.
46.46m-46.46+138.3m=0
Add 138.3m to both sides.
184.76m-46.46=0
Combine 46.46m and 138.3m to get 184.76m.
184.76m=46.46
Add 46.46 to both sides. Anything plus zero gives itself.
m=\frac{46.46}{184.76}
Divide both sides by 184.76.
m=\frac{4646}{18476}
Expand \frac{46.46}{184.76} by multiplying both numerator and the denominator by 100.
m=\frac{2323}{9238}
Reduce the fraction \frac{4646}{18476} to lowest terms by extracting and canceling out 2.
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