## Mastering Addition and Subtraction of Fractions with Like Denominators

Adding and subtracting fractions with like denominators is an essential skill in mathematics. It involves combining or separating parts of the same whole. Here’s how you can master this concept:

##### Introduction

Adding and subtracting fractions with the same denominator is straightforward. Since the denominators are the same, you only need to focus on the numerators. This makes the process simpler and easier to understand.

###### Explanation

When you add or subtract fractions with like denominators, you keep the denominator the same and perform the addition or subtraction on the numerators.

**Adding Fractions:**To add two fractions with the same denominator:

Keep the denominator the same.

Add the numerators together.

Simplify the fraction if necessary.

**Subtracting Fractions:**To subtract one fraction from another with the same denominator:

Keep the denominator the same.

Subtract the second numerator from the first numerator.

Simplify the fraction if necessary.

###### Example

Let's consider an example with pizzas to make it fun and easy to understand. 🍕

Imagine you have two pizzas, each divided into eight equal slices.

You ate 3 slices of the first pizza. This can be written as 3/8.

Your friend ate 2 slices of the second pizza. This can be written as 2/8.

Now, you want to find out how many slices you both ate in total.

**Adding the Fractions:**

Keep the denominator the same: 8.

Add the numerators: 3 + 2 = 5.

The result is 5/8. 🍕

So, together you ate 5 slices out of 8.

Now, let’s say you ate another 1 slice from the same type of pizza, making it 4 slices in total for you.

**Subtracting the Fractions:**

You originally ate 3 slices (3/8).

You ate 1 more slice, so subtract 1 from 3: 3 - 1 = 2.

The result is 2/8, which simplifies to 1/4 if necessary. 🍕

By following these steps, adding and subtracting fractions with like denominators becomes easy and intuitive. Remember to keep practicing with different examples to strengthen your understanding!