Question

solve the problem m/1-m+1+m/m=13/6

Answer 1

(m)/(1)-m+1+(m)/(m)=(13)/(6)

Find the LCD (least common denominator) of (m)/(1)-m+1+(m)/(m)+(13)/(6).
Least common denominator: 6m

Multiply each term in the equation by 6m in order to remove all the denominators from the equation.
(m)/(1)*6m-m*6m+1*6m+(m)/(m)*6m=(13)/(6)*6m

Simplify the left-hand side of the equation by canceling the common terms.
12m=(13)/(6)*6m

Simplify the right-hand side of the equation by simplifying each term.
12m=13m

Since 13m contains the variable to solve for, move it to the left-hand side of the equation by subtracting 13m from both sides.
12m-13m=0

Since 12m and -13m are like terms, add -13m to 12m to get -m.
-m=0

Multiply each term in the equation by -1.
-m*-1=0*-1

Multiply -m by -1 to get m.
m=0*-1

Multiply 0 by -1 to get 0.
m=0

Verify each of the first set of solutions by substituting them into the original equation and solving. In this case, none of the solutions are valid.
No Solution