Fractions

Mastering Fractions: The Ultimate Guide to Adding and Subtraction Fractions with Unlike Denominators! ✨

How to Add Fractions with unlike denominators (like 2/3 + 3/4 ) with Free Online Tutoring in Math
Why Adding Fractions with Unlike Denominators Is So Hard for Kids ‍

Does your child struggle with adding fractions that have different denominators? If so, you’re not alone. ❌ Many students hit a wall when they move beyond basic fractions. Without a clear, visual understanding, they get lost in a maze of numbers, leading to frustration and confusion. 

The problem? When denominators don’t match, kids need multiple skills at once—finding a common denominator, adjusting numerators, and then adding the fractions together. If they don’t grasp these concepts early on, they risk falling behind in math as concepts build upon each other.

But don’t worry—we’ve got the perfect solution! ✅

The Breakthrough Method: Visualizing Fractions for Success!

What if fractions weren’t just numbers, but something kids could actually see?

That’s where visual learning strategies come in. Instead of just memorizing rules, students who use fraction models, interactive examples, and guided practice are far more likely to retain the concept and apply it with confidence!

In this blog post, your child will learn how to:

✅ Use visual fraction models to see why denominators must match

✅ Follow step-by-step guided lessons that build mastery ️

✅ Practice with real-world scenarios that make learning fun and relatable

Case Study: How a 5th Grader Transformed from Frustrated to Fraction Pro!

Meet Emily, a 5th grader who used to freeze whenever she saw a fraction problem. She would guess at the answer or just skip the problem entirely. Her confidence in math was crumbling.

Her teacher introduced The Teacher’s Dungeon method, where Emily watched video tutorials, followed the Play-Pause-Copy strategy, and used visual models to truly understand fractions. Within three weeks, she went from dreading math to scoring 90% on her fraction test!

Her secret? Step-by-step breakdowns, real-world problem solving, and consistent video guidance. And the best part? She actually started to enjoy math!

Here is a quick link to each of the three blog Posts:

Mastering Fractions: Understanding the Basics with Engaging Videos Tutorials!

Mastering Fractions: The Ultimate Guide to Adding and Subtraction Fractions with Unlike Denominators!

Master Fractions: Multiplying & Dividing Fractions: Unlocking Math Success for Your Child!

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Book 4
Adding Fractions with Different Denominators

 

Mathematical Model

Try These Fun Fraction Challenges!

Your child can practice their fraction skills with these engaging challenges:

Little Pat’s Race

You are teaching little kids how to ride mini-motorcycles. Your best rider is
Little Pat, and he is only 6 years old. Little Pat has entered a race. He has
ridden his mini-motorcycle 2/3 of a mile. He only needs to stay in front of
the pack for another 3/4 of a mile to win.
What is the total length of “Little Pat’s Race”?

Play the video by clicking on the photo of Little Pat.

Pull-Up Pete

You are in gym class attempting to do a pull-up. Your best friend Pete is
doing great! On his first attempt, he does 3/4 of a pull-up. On his second
attempt, he does 5/6 of a pull-up.
How many pull-ups has “Pull-Up Pete” done in all?

Press play and solve with us! ️

Pumping Iron Ant

It’s Saturday, and you go outside to relax. You look on the ground and see an ant
pumping iron—well, actually, pumping branches! The first branch he lifts is 5/7
of a pound. He throws it away and grabs another branch weighing 2/3 of a
pound.
How many pounds has your “Pumping Iron Ant” lifted?

Break it down step-by-step in our math tutorial!

Drill & Kill

This is where we Drill until we Kill all our mistakes!
 
Problem 1
4/5 + 1/4?
Problem 2
7/8 + 2/3?
Problem 3
4/7 + 11/14?
Problem 4
8/9 + 1/2?
Video HereOnce you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Book 5
Subtracting Fractions with Different Denominators

Subtracting fractions with unlike denominators can be one of the trickiest concepts for students to grasp. If your child has ever struggled with problems like 2/3 – 1/4, you’re not alone! Many children face frustration when trying to subtract fractions with different denominators, leading to a loss of confidence and gaps in their mathematical foundation. But don’t worry—we have the solution! ✅

The Problem: Why Is This So Difficult?

Subtracting fractions isn’t just about basic arithmetic—it requires multiple steps that can confuse young learners:

  • Understanding least common denominators (LCDs)
  • Adjusting fractions to have equivalent denominators
  • Subtracting correctly without errors

Many students struggle because they lack a clear, visual way to process these steps. Without strong guidance, they feel lost, frustrated, and often fall behind in their math skills. ❌

Activate: A Real-World Case Study

Meet Liam, a 4th grader who dreaded math, especially fractions. Whenever his teacher introduced subtracting fractions with unlike denominators, he would freeze up. His test scores dropped, and his confidence plummeted. But when his teacher introduced illustrated problem-solving and interactive videos, something clicked. By breaking each step into manageable parts and using engaging stories, Liam not only mastered subtracting fractions but also started enjoying math!

The Solution: Make Learning Visual & Interactive

With The Teacher’s Dungeon, we make subtracting fractions with unlike denominators easy and fun by:

✅ Using Visual Models: Step-by-step illustrations help kids see how fractions work.

✅ Providing Interactive Video Tutorials: Instant explanations keep frustration at bay.

✅ Building a Strong Foundation: Scaffolded problems take kids from guided practice to independent mastery.

✅ Making Learning Engaging: Every lesson features fun, story-based problems to keep students motivated!

Mathematical Model

Try It Out with These Fun Word Problems!

Dreamy Geraldine’s Hunger Problem

Geraldine the Giraffe is a daydreamer. While other giraffes stretch their necks for
food, she spends most of her time thinking about her boyfriend, Gary. By
the end of the day, she’ll be very hungry and will need to find food fast!
There are 2/3 of the day remaining, but Geraldine plans to daydream for another
1/4 of a day.
How much of the day will be left for Geraldine to eat?
Watch the free video tutorial and solve along!

 

Larry the Llama’s Race


Larry the Llama looks chill, but he’s actually the fastest runner in his
herd! Today is the big annual llama race, and the course is 5/6 of a
mile long. Larry has already raced 3/4 of a mile at full speed!
How much farther does Larry have to run to win the race?
Larry is in a 5/6-mile race. He has already run 3/4 of a mile. How much farther does he need to go to finish the race?

Hit PLAY on the interactive math tutorial below!

Lenny the One-Armed Lobster

Lenny the Lobster feels a bit lopsided—his right claw is much bigger than
his left! His right claw is 5/7 of a decameter long, while his tiny left claw is just
5/14 of a decameter.
How much larger is Lenny’s right claw than his left claw?

Hit PLAY on the interactive math tutorial below!

Drill & Kill

This is where we Drill until we Kill all our mistakes!
 
Problem 1
2/3 – 5/8?
Problem 2
3/4 – 2/7?
Problem 3
4/5 – 3/6?
Problem 4
5/6 – 4/9?

 

Video HereOnce you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Book 6
Adding Mixed Numbers with Unlike Denominators

Adding mixed numbers, like 2 & 3/4 + 3 & 5/6 can be very confusing.  Unless children are taught to illustrate the addition of the fractions, they often never fully understand what is happening with the fractions.  This leaves children with a limited understanding, which can be frustrating and confusing as they enter higher levels of mathematics.
This 6th video-post continues my cyclical learning approach to the next level of understanding:

4-Steps to Fully Understand Adding Mixed Numbers with Unlike Denominators!

Step 1 – Illustrate the two fractions (2 & 3/4 and 3 & 5/6) and use your LCM to change the fractions so that they have common denominators.
Step 2 – Add the fractions boxes to solve the problem.
Step 3 – Now, move to your algorithm.  Use the Giant-1 to convert your fractions, so they have common denominators.
Step 4 – Add your whole numbers and your fractions to solve the problem.  Make sure that your algorithm agrees with your illustration.

Mathematical Model

Why Do So Many Kids Struggle with Adding Mixed Number Fractions?

Adding mixed number fractions, like 2 ¾ + 3 ⅚, can feel like an unsolvable puzzle for many students. Without the right approach, they get stuck in a cycle of confusion, frustration, and self-doubt.

❌ They struggle to align whole numbers and fractions.

❌ They don’t understand how to find a common denominator.

❌ They make calculation errors that snowball into frustration.

This confusion doesn’t just impact today’s math lesson—it creates a ripple effect, making future math concepts even harder to grasp. A lack of confidence in fractions can hold students back from excelling in higher-level math.

What If Learning Fractions Was Simple & Fun?

Imagine your child approaching fractions with confidence, knowing exactly how to break down each step like a math pro! With the right strategy, adding mixed number fractions becomes second nature instead of a struggle.

Case Study: From Frustration to Fraction Mastery

One of my 5th-grade students, Jake, used to dread fractions. He would mix up whole numbers and fractions, leading to constant mistakes. But after using visual models and step-by-step strategies, he went from failing quizzes to confidently solving complex problems—and even tutoring his classmates!

The Solution: A Step-by-Step Guide to Adding Mixed Number Fractions ✅

Here’s what students will gain from this FREE step-by-step lesson on adding mixed number fractions:

Illustrate the Addition Process: Visual models clarify each step, making math more intuitive. Build a Strong Math Foundation: Mastering mixed numbers ensures long-term success in more advanced math concepts. Boost Confidence & Accuracy: Kids develop problem-solving skills and feel empowered to tackle any math challenge!

Try These Fun & Engaging Fraction Challenges!

These real-world math problems make learning fractions exciting. Press PLAY on the videos below to watch, pause, and copy each solution—just like having a personal tutor by your side! ✏️

Challenge 1: Red-Tailed Hawk Adventure

While hiking, you see a Red-Tailed Hawk soaring in the sky, forming a giant figure-8. The upper loop is 2 & ¾ miles, and the lower loop is 3 & ⅚ miles.

How far does the hawk fly in one complete loop? Watch the video tutorial to solve it step-by-step!

Challenge 2: Hungry Chipmunk Snack Time ️

At Yellowstone National Park, you feed a chipmunk 2 & ⅔ bags of chips one day and 2 & ⅗ bags the next.

How many bags of chips did the chipmunk eat in total? Press PLAY to work through the solution with guided support!

Challenge 3: Mural Project

Your class is painting two murals for the school. One mural covers 1 & 4/9 walls, and the other covers 1 & 2/3 walls.

How many walls will the murals cover in total? Solve it on your own, then check your answer in the tutorial video!

 

This book features 10 engaging word problems similar to the ones above, plus an additional 16 Drill & Kill exercises designed to reinforce key concepts. With your membership to The Teacher’s Dungeon, you’ll gain access to all of my math books—packed with proven strategies for mastering fractions and building math confidence. The Teacher’s Dungeon turns learning into a fun and rewarding experience! Click here to explore it today!

Drill & Kill

This is where we Drill until we Kill all our mistakes! 
Problem 1
1 & 2/3 + 2 & 5/8?
Problem 2
3 & 3/4 + 4 &  2/7?
Problem 3
2 & 4/5 + 4 &  3/6?
Problem 4
5 & 1/6 + 1 &  1/9?
Once you complete the problem – Hit PLAY on the math tutorial video below.  

Book 7
Subtracting Mixed Numbers with Unlike Denominators

Subtracting mixed numbers, like 3 & 3/4  – 2  & 5/6 can be very confusing.  Unless children are taught to illustrate the addition of the fractions, they often never fully understand what is happening with the fractions.  This leaves children with a limited understanding, which can be frustrating and confusing as they enter higher levels of mathematics.

Mathematical Model

Is your child struggling with subtracting mixed number fractions? You’re not alone! Many students hit a roadblock when tackling problems like 3 ¾ – 2 ⅚, leading to frustration and lost confidence. Without a clear, visual approach, they often feel overwhelmed—making it harder to progress in advanced math.

But what if there was a way to demystify this concept, making it fun, engaging, and easy to understand? That’s exactly what we’re offering in today’s powerful math intervention tutorial!

Why Is Subtracting Mixed Number Fractions So Hard?

The main struggle? Misalignment between visual learning and abstract concepts. Many students try to subtract whole numbers and fractions separately, which leads to mistakes. Others don’t understand how to borrow properly when needed. This results in a weak foundation that affects their long-term math success.

Case Study: How a 5th Grader Overcame the Struggle!
Sarah, a 5th grader with ADHD, used to dread subtracting mixed fractions. She would rush through problems, making simple mistakes that hurt her confidence. But after using our “Play-Pause-Copy” strategy—watching short video segments, pausing, and copying steps—she mastered the concept in just a few lessons. Now, she tackles fractions with ease and has aced her Common Core assessments!

The Solution: Learn Through Visuals & Interactive Lessons

To bridge the gap, our latest blog post walks students through subtraction step-by-step using engaging real-world scenarios. These five interactive video tutorials bring math to life, making learning exciting and stress-free.

Here’s what your child will learn:
Illustrate the subtraction process – Using visual models to truly grasp the concept
Step-by-step breakdowns – No more guesswork, just clear strategies for success
Boost long-term retention – A solid fraction foundation ensures success in algebra & beyond

Watch & Learn – Free Math Video Tutorials!

Challenge 1: Slow-Moving Sloth (Watch Me!)
Your child will watch and learn as a sloth slowly moves toward a tree. How much farther does he have to go?

You are on vacation in the rainforest of South America.  You discover a slow sloth crawling across the ground.  He is headed for a large tree 3 & 3/4 yards away.  You watch his slow progress as he moves one foot in front of the other.  After a full minute the slow sloth has only traveled 2 & 5/6 yards.

How much further does your slow moving sloth have to travel before he reaches his tree?

This video breaks it down step by step for easy understanding. Watch now!

Challenge 2: Hungry Octopus (Work With Me!)
Your child will follow along and solve the problem with guided help.

You are part of the Junior Marine Biology Club of America.  Your Club is scuba diving off the coast of Monterey California.  You observe an octopus eating clams.  There are 2 & 2/3 clams hidden in the sand.  The octopus finds and eats 1 & 4/5 of the clams.

How many clams does the Hungry Octopus have left to eat?

How many clams are left for the octopus? Press play and work through it together!

Challenges 3-5: Try It Yourself! (On Your Own!)
Now it’s time for your child to apply their knowledge! Each problem is designed to reinforce learning while making math fun and engaging:

✔️ Carrot-Chomping Horse

You have wanted a horse of your own for as long as you can remember.  You have saved and saved.  Finally, you have enough money for your horse.  She is a beautiful mare and she loves chomping on carrots.  You buy 2 & 7/9 carrots for her.  She chomps away 1 & 2/3 of the carrots.

How many carrots are left?

Drill & Kill

This is where we Drill until we Kill all our mistakes!
Problem 1
2 & 2/3 – 1 & 5/8?
Problem 2
4 & 3/4 – 1 &  2/7?
Problem 3
4 & 4/5 – 3 &  5/6?
Problem 4
5 & 1/6 – 1 &  1/9?

 

 

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

The Teacher’s Dungeon: Turning Math Frustration into Math Mastery

All of these lessons, video tutorials, and word problems are included FREE with your membership to The Teacher’s Dungeon. Our math intervention game makes learning fun and helps your child build math skills that last a lifetime.

Click Here to Start Your Child’s Math Journey Today!

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