# Solve for m -3/20=m-7/12

-320=m-712
Rewrite the equation as m-712=-320.
m-712=-320
Move all terms not containing m to the right side of the equation.
Add 712 to both sides of the equation.
m=-320+712
To write -320 as a fraction with a common denominator, multiply by 33.
m=-320⋅33+712
To write 712 as a fraction with a common denominator, multiply by 55.
m=-320⋅33+712⋅55
Write each expression with a common denominator of 60, by multiplying each by an appropriate factor of 1.
Multiply 320 and 33.
m=-3⋅320⋅3+712⋅55
Multiply 20 by 3.
m=-3⋅360+712⋅55
Multiply 712 and 55.
m=-3⋅360+7⋅512⋅5
Multiply 12 by 5.
m=-3⋅360+7⋅560
m=-3⋅360+7⋅560
Combine the numerators over the common denominator.
m=-3⋅3+7⋅560
Simplify the numerator.
Multiply -3 by 3.
m=-9+7⋅560
Multiply 7 by 5.
m=-9+3560
m=2660
m=2660
Cancel the common factor of 26 and 60.
Factor 2 out of 26.
m=2(13)60
Cancel the common factors.
Factor 2 out of 60.
m=2⋅132⋅30
Cancel the common factor.
m=2⋅132⋅30
Rewrite the expression.
m=1330
m=1330
m=1330
m=1330
The result can be shown in multiple forms.
Exact Form:
m=1330
Decimal Form:
m=0.43‾
Solve for m -3/20=m-7/12

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