# Apply the four operations to simple algebraic fractions with numerical denominators (VCMNA331)

**LO: To apply the four operations to simple algebraic fractions with numerical denominators**

**Know:**

- The four operations
- What is an algebraic expression
- What is a denominator
- How to simplify algebraic expressions
- What are like terms
- What are unlike terms

**Understand:**

- That algebraic expressions with denominators can be simplified

**Do:**

- I can simplify algebraic expressions with numerical denominators.

*Algebraic Expressions*

### Remember: **Algebraic expressions** don’t have an **equal** sign (=).

*Operations with Fractions*

*Operations with Fractions*

### Remember the rules for the operations with fractions.

### If the **denominators** are the **same** you can just to add the numerators, however if they are **different** you need to **make them the same (finding the common denominator)** before you can add the numerators.

### The same process can be repeated with subtracting fractions!

### With the multiplication of fractions, it’s pretty simple** numerator multiplied by **numerator**.**

### With the division of fractions, it’s the same process as multiplication, but you have to **inverse (flip)** the second fraction.

### In this example, we have algebraic expressions in the numerator, but different numbers in the denominators.

### So the first step that we need to do is to make the denominators the **same**.

### In this case, the common denominator between 3 and 4 is 12, so we need to multiply the numerators by the corresponding numbers (4 and 3) in order to make the denominators the same before we can simplify the expressions.

### After making the denominators the same then you collect the **like** terms to simplify the expression.

### In this example, we have algebraic expressions in the numerator, but different numbers in the denominators.

### So the first step that we need to do is to make the denominators the **same**.

### In this case, the common denominator between 2 and 3 is 6, so we need to multiply the numerators by the corresponding numbers (3 and 2) in order to make the denominators the same before we can simplify the expressions.

### After making the denominators the same then you collect the **like** terms to simplify the expression.

**Solving Fractional Algebraic Expressions with Numerical Denominators Videos**

**Solving Fractional Algebraic Expressions with Numerical Denominators Videos**

**Student Generated Videos**

**Student Generated Videos**