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  • Writer's pictureBen Keston

Math Lesson: Fractions with Different Denominators

Updated: Jul 7, 2022

This lesson explains how to add fractions with different denominators in an increasingly fast way over the Handout, explaining the basics with least common multiple (LCM), then simplifying beforehand, and other tricks and tips to make it that much faster.

Throughout the handout, there are 27 problems to help practice and remember the ideas taught, along with 5 extra hard problems in the Problem Sheet, which ties together what was learned throughout the entire lesson. In these problems, students will learn how to use multiple ideas to solve math problems. The final chapter of each lesson will contain tricks and tips for math in general. This lesson contains four chapters.

These lessons will not always be in order of difficulty, but instead in order of when I post them.

Note: Print letter sized


Lesson 1 - Handout
Download PDF • 1.88MB

Problem Sheet:

Lesson 1 - Problem Sheet
Download PDF • 227KB


Lesson 1 - Answers
Download PDF • 366KB

Edit: Lesson 1 - Handout updated, minor math mistake and grammar mistakes fixed.

About Ben

Ben Keston is a high school student who has excelled at math throughout his life. Ben enjoys teaching his sister math, and is now developing a series of lessons to help her and now other elementary school students and beyond gain math proficiency. Ben has enjoyed coding for over 5 years, when he attended a coding camp. Ben enjoys the challenge of coding to create all sorts of programs.

274 views2 comments


Jul 05, 2022

Ben, thanks for this. Can you check the last paragraph on page 5 of the Lesson 1 handout? I believe the answer should be 111/44, not 69/44 . Also, consider learning LaTeX for your future mathematical endeavors (if you are not already). It is a bit of a learning curve but you can write out complex mathematical equations easier than using Word or another word processor. Overleaf is an easy-to-use online LaTeX editor. Keep up the good work!

Ben Keston
Ben Keston
Jul 07, 2022
Replying to

My bad, I'll fix that. To your second point, this was written entirely in LaTeX :)

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