 ## Tutoring on Order of Operations with Fractions

Learning Objectives:

#### Understand and Apply Order Of Operations with Fractions

Math Tutoring on Order of Operations with Fractions

A Fraction, or Fractional Number, is used to represent a part of a whole. Fractions consist of two numbers: a Numerator (which is above the fraction bar) and a Denominator (which is below the fraction bar). For example etc.

The Denominator tells you the number of equal parts into which something is divided. The Numerator tells you how many of these equal parts are being considered.

If we are working with a Mathematical Expression that contains more than one Operation, then we need to understand how to simplify.

Rules for Order of Operations:

1.    Calculate within the innermost Parentheses or Grouping Symbols, ( ), [ ], { }, and above or below Fraction Bars.

2.    Simplify all expressions with Exponents.

3.    Multiply and Divide from left to right. Remember to convert Division to Multiplication, we multiply by the Reciprocal.

4.    Add and Subtract from left to right.

For easy remembering, an acronym PEMDAS is vastly used. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

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Hook Questions:

1.    What are Fractions?

2.    What is the Order of Operations for solving mathematical expressions containing Fractions?

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