Simplifying Fractions: 6th Grade Math by aerial Barnhart

What Does it Mean to Simplify a Fraction?

aerialbarnhart99 — 2025-04-24 13:49:15 UTC

Hey students! Today we're going to learn about simplifying fractions. A fraction is simplified (or in lowest terms) when the numerator and denominator cannot be divided evenly by any number except 1. For example, 6/8 can be simplified to 3/4 because both 6 and 8 can be divided by 2.

Finding the Greatest Common Factor (GCF)

aerialbarnhart99 — 2025-04-24 13:49:17 UTC

To simplify fractions, we need to find the Greatest Common Factor (GCF) of the numerator and denominator. The GCF is the largest number that divides evenly into both numbers. List out the factors of each number and find the largest one they share!

Let's Simplify 12/18 Together!

aerialbarnhart99 — 2025-04-24 13:49:17 UTC

Step 1: Find factors of 12: 1, 2, 3, 4, 6, 12
Step 2: Find factors of 18: 1, 2, 3, 6, 9, 18
Step 3: Identify the GCF: 6
Step 4: Divide both numbers by 6
12 ÷ 6 = 2
18 ÷ 6 = 3
Therefore, 12/18 = 2/3

Your Turn: Practice Problem

aerialbarnhart99 — 2025-04-24 13:49:18 UTC

Try simplifying this fraction: 15/25

Hint: What's the largest number that goes into both 15 and 25?

(I'll post the answer in the comments tomorrow!)

Online Practice Games

aerialbarnhart99 — 2025-04-24 13:49:19 UTC

Want more practice? Check out these fun online games to master fraction simplification! These interactive tools will help you become a fraction simplifying expert.

Give me an Example:

aerialbarnhart99 — 2025-04-24 13:56:33 UTC

You will now write your own word problem that uses fractions! This can be a real life story or a made up one! Write a fraction story and describe the scenerio. Add a photo or drawing that helps to illustrate your story!

This could be sharing a pizza, a cookie recipe or buying a certain amount of fabric! Be creative!