ORDER OF OPERATIONS: Problem 2

Rule 21:

Expressions in parenthesis are treated as one number and must be calculate first.

Problem 2: Calculate .

Answer: The answer is .

Solution:

Since there parenthesis in the problem. Work from left to right. The parenthesis contains multiplication and subtraction. Perofrm the multiplication first. After the first multiplication, the parenthesis is simplified to .
After the second multiplication, the parenthesis is simplified to .

The problem
can now be written .

The remaining parenthesis contains multiplication, division, and addition. Convert the division to multiplication first and complete the multiplication operations.

=

The fraction can be reduced to .

The fraction can be reduce to .

can now be written as

The problem can now be written as . Convert the whole numbers to fractions, build to a common denominator, add, and reduce. =

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