Learning Objectives:

__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.

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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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