Understanding Fractions by Sarah Davis

What are fractions?

sgdavis1110 — 2025-10-19 21:22:32 UTC

Fractions represent parts of a whole! The top number (numerator) shows how many parts you have, and the bottom number (denominator) shows how many equal parts make a whole.

Question for students:

sgdavis1110 — 2025-10-19 21:23:31 UTC

What’s an example of a fraction you’ve seen in real life?

How Do We Add or Subtract Fractions?

sgdavis1110 — 2025-10-19 21:26:22 UTC

When Denominators Are the Same:

1. Add or subtract the numerators

2. Keep the denominator the same

3. Simplify if possible

When Denominators Are Different:

1. Find the Least Common Denominator (LCD)

2. Rename each fraction with that denominator

3. Add or subtract the numerators

4. Simplify the answer

Examples and Practice

sgdavis1110 — 2025-10-19 21:27:49 UTC

Example 1: 2/8 + 3/8 = 5/8
Example 2: 1/2 + 1/3 = 3/6 + 2/6 = 5/6

Challenge Question:
What is 3/4 – 1/8? (Show your steps!)

Visual Models

sgdavis1110 — 2025-10-19 21:29:15 UTC

Fraction Bars: Show how 1/4 + 2/4 = 3/4 using colored strips.

Circle Models: Use a pie chart showing fraction addition visually.

Watch Out!

sgdavis1110 — 2025-10-19 21:30:02 UTC

Don’t add denominators!

1/4 + 1/2 ≠ 2/6

Find a common denominator first: 1/4 + 1/2 = 1/4 + 2/4 = 3/4

Tip: Always simplify your fraction when you finish!

Think About It

sgdavis1110 — 2025-10-19 21:31:06 UTC

1. What helps you remember how to find a common denominator?

2. Why is simplifying fractions important?

Create your own real-world fraction problem (like sharing food or measuring ingredients) and post it for others to solve!