How to Add Fractions with the Same Denominator?

To add fractions with the same denominator, simply add the numerators and keep the denominator the same.

Here's a step-by-step explanation:

1. Identify the Numerators and Denominators: In a fraction, the top number is the numerator, and the bottom number is the denominator. If the denominators are the same across multiple fractions, you're ready to add.

2. Add the Numerators: Sum up all the numerators of the fractions you're adding.

3. Keep the Denominator: The denominator of the resulting fraction will be the same as the common denominator of the original fractions.

4. Simplify (if possible): If the resulting fraction can be simplified (i.e., the numerator and denominator have a common factor), reduce it to its simplest form.

Example:

Let's say you want to add 2/8 + 3/8:

• The numerators are 2 and 3.
• The common denominator is 8.

1. Add the numerators: 2 + 3 = 5

2. Keep the denominator: 8

3. The resulting fraction is 5/8. Since 5 and 8 have no common factors other than 1, the fraction is already in its simplest form.

Formula:

a/c + b/c = (a + b)/c

Where:

• a and b are the numerators.
• c is the common denominator.

In summary: When adding fractions sharing the same denominator, the focus is on summing the numerators while maintaining the common denominator, followed by simplifying the resultant fraction, if needed.