Articles within this series on Fractions:
- How to do fractions, Free Online Tutoring in Math for Understanding Fractions
- How to Add Fractions (like 4/7 + 3/7 )
- How to Subtract Fractions (like 8/9 – 4/9 )
- How to Add Fractions with Unlike Denominators (like 2/3 + 3/4 )
- How to Subtract Fractions with Unlike Denominators (like 2/3 – 1/4)
- How to Add Fractions that are Mixed Numbers (like 2 & 3/4 + 3 & 5/6 )
- How to Subtract Fractions that are Mixed Numbers (like 3 & 3/4 – 2 & 5/6)
- How to Multiply Fractions (like 2/3 x 5 )
- How to Divide Fractions (like 6 ÷ ¾ )
- How to Multiply Fractions (like 2/3 x 1/4)
- 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 that are Mixed Numbers
Online Tutoring in Math: Challenge 1
Watch Me
Red Tailed Hawk
You are on a hike when you see a Red Tailed Hawk soaring across the sky. It is absolutely beautiful! The hawk is circling round and round in two circles that form an 8. The upper portion of the Eight is 2 & 3/4 miles around. The lower portion of the Eight is 3 & 5/6 miles around.
How far does the Red Tailed Hawk fly each time he completes his figure-8 shape in the sky?
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 that are Mixed Numbers
Online Tutoring in Math: Challenge 2
Work With Me
Hungry Chipmunk
You are camping in Yellowstone National Park. You are sitting on the picnic table at your campsite eating chips when a cute, little chipmunk scampers up to you. You feed him 2 & 2/3 bags of chips. The next day you are eating more chips when the friendly chipmunk reappears. This time you feed him 2 & 3/5 bags.
How many bags of chips did you feed your Hungry Chipmunk?
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 that are Mixed Numbers
Online Tutoring in Math: Challenge 3
On Your Own
Mural Project
Your class was asked to create two murals for your school. The murals will be painted on a number of walls near your school’s gymnasium. Your teacher has chosen two art projects for the murals. One is a drawing of Native Americans. The other is a drawing of the people from your community. You get to use 1 & 4/9 walls for one mural and 1 & 2/3 walls for the other drawing.
How many walls will be covered by these two drawings?
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 that are Mixed Numbers
Online Tutoring in Math: Challenge 4
On Your Own
Pool-Slash Party
You are invited to a Pool-Splash Party at your friend’s house. Your friend has become famous, because she dips her head in the water and then flings her hair back. Her photos are all over the internet and you can’t wait to watch her do her “hair fling thing”. In order to get from your house to her pool you will need to walk 1 & 1/2 miles to the bus stop. Next, you will need to ride the bus another 2 & 5/8 miles before you reach her home.
How far will you travel when you go to the Pool-Splash Party?
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 that are Mixed Numbers
Online Tutoring in Math: Challenge 5
On Your Own
Newspaper Reporter
You are a reporter for your school newspaper. This week’s topic is underwater exploration. You have decided to write a similar story to the one written in the New York Times about the sinking of the Titanic. Your best friend is writing another story about the famous oceanographer and filmmaker, Jacques Cousteau. Your story will use 2 & 2/3 pages. Your friends story will use 1 & 5/7 pages.
How many pages will these two stories use of your school’s newspaper?
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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