Fractions

How to Add Fractions (like 4/7 + 3/7 ) with Free Online Tutoring in Math

How to Add Fractions (like 4/7 + 3/7 ) with Free Online Tutoring in Math
Unlock the secrets to adding fractions with our latest blog post, the second article in our comprehensive eleven-part series!

This post includes five sample problems to enhance your child’s understanding right from the start.

The Problem: Adding fractions can be a daunting task for many children. Without proper guidance, they often struggle to understand the concept, leading to confusion and frustration.

This lack of understanding can hinder their progress in more advanced math classes, causing them to fall behind. The frustration and confusion can erode their confidence and make learning math a negative experience.

The Solution: The solution lies in this FREE online tutorial that teaches children how to illustrate the addition of fractions. In our blog post, your child will:

  • Learn to Illustrate Addition: Visual models help clarify the process of adding fractions.
  • Build a Strong Foundation: Step-by-step lessons ensure your child thoroughly understands each concept.
  • Achieve Long-term Success: A solid grasp of fractions is crucial for future mathematical success.

Visit our website (https://www.teachersdungeon.com/) for a comprehensive educational program designed to help kids become proficient in mathematics. By mastering these concepts, your child will gain a deeper, more concrete understanding of adding fractions, paving the way for a successful educational journey. Don’t miss out on this valuable resource—empower your child’s learning today!

Articles within this series on Fractions:
  1. How to do fractions, Free Online Tutoring in Math for Understanding Fractions
  2. How to Add Fractions (like 4/7 + 3/7 )
  3. How to Subtract Fractions (like 8/9 – 4/9 )
  4. How to Add Fractions with Unlike Denominators (like 2/3 + 3/4 )
  5. How to Subtract Fractions with Unlike Denominators (like 2/3 – 1/4)
  6. How to Add Fractions that are Mixed Numbers (like 2 & 3/4 + 3 & 5/6 )
  7. How to Subtract Fractions that are Mixed Numbers (like 3 & 3/4 – 2 & 5/6)
  8. How to Multiply Fractions (like 2/3 x 5 )
  9. How to Divide Fractions (like 6 ÷ ¾ )
  10. How to Multiply Fractions (like 2/3 x 1/4)
  11. How to Divide Fractions (like ½ ÷ ¼)

Solving problems that deal with fractions is simple when you develop a concrete understanding.  I have had incredible results with with the students in my class!  The strategies taught within this article work with children who have ADHD, Dyslexia, and other learning disabilities.  Virtually every one of my students who has learned the strategies within this HOW TO DO FRACTIONS article has passed the standards based assessment for adding, subtracting, multiplying and dividing fractions.

I have scaffold the problems in each lesson. 

The first problem in this article is a “Watch Me” problem.  The second is a “Work with Me” problem.  All the rest are “On Your Own” problems. 

*If your child needs a bit more support, they should complete the “On Your Own” problems as a “Work with Me” problem.  I have a number of students with gaps in their learning and others with a variety of  learning disabilities.  I have had incredible success, by having those students complete 5 to 7 problems within each lesson as a “Work with Me” problem.  They play a bit of the video, then pause it  and copy, then watch a bit more, pause it and copy.  My students Play – Pause – and Copy until the entire problem is solved.  This is like having a personal tutor working through each and every problem with your child.  Every one of my students who has used this strategy has passed the Common Core Proficiency Exam.

How to add Fractions with Online Tutoring in Math:

Challenge 1
Watch Me
Math Ninja Celebration

You just won the “Math Ninja” award at your school for solving problems about fractions.  It’s Celebration time!  Your mother made you two special pies to celebrate your awesomeness.  One pie is chocolate and the other is lemon.  She asked you to cut both pies into 1/7 parts.  After cutting the pies you are overwhelmed with temptation.  You decide to eat a few slices from each pie.  Now there is only 3/7 parts of the chocolate pie and 4/7 parts of the lemon pie.

How much pie do you have in all?

Watch this Free Tutoring for Math Video!

Press PLAY and Watch this Free Tutoring for Math Video below.  Then copy these strategies into your notes!

How to add Fractions with Online Tutoring in Math:

Challenge 2
Work With Me
Dog-Food Stealing Raccoon

A raccoon has been sneaking into your garage and eating your dog’s food for two nights.  He crawls through the doggy-door, opens the dog-food canister, tips it over, and starts chowing down.  You hear the clamor of crashing containers and rush to the garage, but the raccoon scurries out the doggy-door and hides behind a tree in your back yard.

The first night your Dog-Food Stealing Raccoon hid 3/5 of his body behind the tree.  The second night he hid 4/5 of his body behind the tree.

How much of his body did your Dog-Food Stealing Raccoon hide behind the tree in all?

Watch this Free Tutoring for Math Video!

Gather your materials and press PLAY.  We’ll solve this problem together, while you watch the math tutorial video below.

Do your children get frustrated when they make a mistake?

We all make mistakes.  As a matter of fact, making mistakes is an essential part of the learning process.  This is why at the end of each of the following “On Your Own” challenges I encourage children to fix their mistakes.  Finding and fixing your own mistake is the fastest way to learn.

How to add Fractions with Online Tutoring in Math:

Challenge 3
On Your Own
Trumpet Playing Dog

You have a very talented dog named Rex.  Not only can he sit, roll over, and fetch a ball, but Rex can also play the trumpet.  He is so good that he has been asked to give performances at local businesses.  The only problem is when Rex sees a cat.  It does not matter what he is doing, Rex will chase that cat.

Rex was giving a performance for the local fire department.  He was 2/9 of the way through the song when a black and white tabby-cat ran past.  Rex dropped his trumpet and took off after the cat.  Another time, Rex was playing for the Local Librarians convention when a couple of Siamese cats ran up a tree next to the deck where Rex was performing.  Once again, Rex tossed his trumpet aside and took off after the cats.  That time he was 4/9 of the way through his song.

How many songs was Rex able to play in all, before he began chasing cats?

Watch this Free Tutoring for Math Video!

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

How to add Fractions with Online Tutoring in Math:

Challenge 4
On Your Own
Tightrope Walking Panther

You have a favorite stuffed animal named, Pinky the Panther.  You decide to create a YouTube channel with a series of short movies called, “Pinky’s Adventures”.

In one movie, Pinky has joined the circus.  He is walking across a tightrope when the rope breaks and Pinky begins to fall.  Pinky makes it 5/8 of a yard before the tightrope brakes.  Luckily, a circus clown is driving a fire truck underneath Pinky.  Pinky lands on the latter as the clown drives under him.  The clown drives Pinky 7/8 of a yard to a pool of whipped cream.  Pinky jumps into the whipped cream, then stands up, licking his chops, and shouts, “That was fun.  Let’s do it again!”

The crowd goes wild.  How far did Pinky travel in all, from the beginning of the tightrope to the whipped cream?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

How to add Fractions with Online Tutoring in Math:

Challenge 5
On Your Own
Melvin the Mathematical Cat

Meet Melvin the Mathematical Cat.  He is a mathematical genius, and he is a cat.  For the past two days Melvin has been working on a problem for NASA.  He is trying to discover how much fuel is needed to travel to Mars.  He spent 5/6 of the first day calculating the distance from Earth to Mars, and 4/6 of the second day calculating the amount of fuel burned in space.

How many days did Melvin the Mathematical Cat spend on this problem?

Watch this Free Tutoring for Math Video!

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

Want More Tutorials?

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