8m+3=4m
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
8⋅m=(m+3)⋅4
Multiply 8 by m.
8m=(m+3)⋅4
Simplify (m+3)⋅4.
Apply the distributive property.
8m=m⋅4+3⋅4
Simplify the expression.
Move 4 to the left of m.
8m=4⋅m+3⋅4
Multiply 3 by 4.
8m=4m+12
8m=4m+12
8m=4m+12
Move all terms containing m to the left side of the equation.
Subtract 4m from both sides of the equation.
8m-4m=12
Subtract 4m from 8m.
4m=12
4m=12
Divide each term by 4 and simplify.
Divide each term in 4m=12 by 4.
4m4=124
Cancel the common factor of 4.
Cancel the common factor.
4m4=124
Divide m by 1.
m=124
m=124
Divide 12 by 4.
m=3
m=3
m=3
Solve for m 8/(m+3)=4/m