Exercise 31 Page 443

To solve the equation, we have to isolate m on one side. Using the Subtraction Property of Equality, we can subtract 512 from both sides of the equation. This will eliminate addition on the left-hand side and isolate m.

m+5/6=11/12

SubEqn

LHS- 5/6=RHS- 5/6

m+5/6- 5/6=11/12- 5/6

ExpandFrac

a/b=a * 2/b * 2

m+5/6-5/6=11/12-10/12

SubFrac

Subtract fractions

m=1/12

To check that this solution is correct, let's substitute m= 112 into the original equation and simplify.

m+5/6=11/12

Substitute

m= 1/12

1/12+5/6? =11/12

ExpandFrac

a/b=a * 2/b * 2

1/12+10/12? =11/12

AddFrac

Add fractions

11/12=11/12 ✓

Because the left-hand side and right-hand side are equal, m= 112 is the correct solution.