Unlock the mystery of dividing fractions with our latest blog post, the final installment in our comprehensive eleven-part series!
Designed to follow a cyclical learning approach, this article provides a complete lesson on fractions, guiding your child step-by-step through the complexities of dividing fractions like ½ ÷ ¼.
Dividing fractions can be perplexing. Why does ½ ÷ ¼ result in an answer larger than both ½ and ¼? Shouldn’t division make numbers smaller? The key to understanding this lies in illustrating mathematical models. When children visualize the division process, they can clearly see why ½ ÷ ¼ yields a larger answer. Without this visual aid, many children struggle to grasp the concept, leading to confusion and frustration in higher levels of math.
In our blog post, your child will:
- Learn to Illustrate Division: Visual models help demystify why dividing fractions often results in larger numbers.
- 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 dividing 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:
- 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 Divide Fractions
Online Tutoring in Math: Challenge 1
Watch Me
Terrance the Ticklish Mule
Terrance loves his alfalfa, but his owner keeps tickling his nose. His owner loves Terrance, but he can’t help tickling his favorite mule. Each day, Terrance eats 2/3 pounds of alfalfa. His owner divides the alfalfa into portions that are 2/7 pounds, how many portions will Terrance get to eat?
Hint: How many 2/7’s are in 2/3?
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 Divide Fractions
Online Tutoring in Math: Challenge 2
Work With Me
Singing Camels
Kami & Connie Camel love to sing. They walk around their paddock and sing to all the on lookers. Kami & Connie’s paddock is 8/9 miles long.
If Kami& Connie break the paddock into portions that are 3/4 miles, how many portions will our “Singing Camels” walk and sing?
Hint: How many 3/4’s are in 8/9?
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 Divide Fractions
Online Tutoring in Math: Challenge 3
On Your Own
Honovi the Honey Loving Grizzly Bear
Honovi is always on the lookout for bees. She follows them back to the hive and collects as much honey as possible. Yesterday, Hovoni found a hive. While the bees crawled under her fur and stung again and again, Honovi stole 4/5 pounds of honey. If Hovoni divides the honey into portions that are each 1/8 pound, how many portions can she make?
Hint: How many 1/8’s are in 4/5?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
How to Divide Fractions
Online Tutoring in Math: Challenge 4
On Your Own
Shelby & Sherman Seahorse
Shelby & Sherwood are a couple of hungry seahorses. They love nothing more than a big old mouthful of plankton. The marine biologist that feeds them has a 2/5 bucket of plankton.
A serving of the plankton is 3/8 of the bucket.
How many servings are in the bucket?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
How to Divide Fractions
Online Tutoring in Math: Challenge 5
On Your Own
Elyssa the Thirsty Elephant
Elyssa Elephant is thirsty. There is very little water on the African Plains at this time of the year. Luckily for Elyssa and her herd, a local farmer gives a bucket of cool water to each elephant in Elyssa’s family. Each bucket holds 5/6 gallons of water.
If Elyssa’s trunk holds 2/7 of a gallon, how many trunkfuls of water will Elyssa get to drink?
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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