Exercise 31 Page 443

m=1/12

Practice makes perfect

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

LHS- 5/6=RHS- 5/6

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

a/b=a * 2/b * 2

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

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

m= 1/12

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

a/b=a * 2/b * 2

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

Add fractions

11/12=11/12 ✓

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

Guided Practice p.440

Independent Practice p.441-442

H.O.T. Problems p.442

Standardized Test Practice p.442-444

Extra Practice p.443

Common Core Review p.444

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