EIAT Study Guide – Week 1: Fractions for the Real World

🧠 Before You Begin

If you're reading this and feeling a little anxious about fractions, you're not alone. Most guys checked out when this stuff came up in 5th or 6th grade — right around when sports, friends, and life got more important than numbers on paper. This guide is here to fix that — no shame, no pressure.

This isn’t school. This is training to get a real job that pays real money. Let's get through it together, one step at a time.

📘 What is a Fraction?

🧹 How to Simplify a Fraction (Break It Down)

Example: Simplify 12/16

Step 1: Ask yourself: what number can go into both 12 and 16? (Answer: 4)

Step 2: Divide both: 12 ÷ 4 = 3, 16 ÷ 4 = 4

Final Answer: 3/4

➕ Adding Fractions (Muscle Memory)

Example: 1/4 + 1/6

Step 1: Find a number both 4 and 6 can go into (Least Common Denominator = 12)

Step 2: Change both fractions to match that denominator:
1/4 = 3/12, 1/6 = 2/12

Step 3: Add the tops: 3 + 2 = 5

Final Answer: 5/12

➖ Subtracting Fractions (Same Game)

Example: 3/4 - 1/8

Step 1: What’s the common denominator of 4 and 8? (Answer: 8)

Step 2: Convert: 3/4 = 6/8

Step 3: Subtract the tops: 6 - 1 = 5

Final Answer: 5/8

✖️ Multiplying Fractions (Quickest Operation)

Example: 2/3 × 3/4

Step 1: Multiply top numbers: 2 × 3 = 6

Step 2: Multiply bottom numbers: 3 × 4 = 12

Step 3: Simplify if needed: 6/12 = 1/2

Final Answer: 1/2

➗ Dividing Fractions (Flip & Multiply)

Example: 2/3 ÷ 3/4

Step 1: Flip the second one: 3/4 → 4/3

Step 2: Now multiply: 2/3 × 4/3 = 8/9

Final Answer: 8/9

🧪 Practice Problems

Try these with a pencil and no calculator. That’s how the real test works.