How to Divide Fractions (like 6 ÷ ¾ ) with Free Online Tutoring in Math

Demystify dividing whole numbers by fractions with our latest blog post, the ninth article in our comprehensive eleven-part series!

Each article in this series follows a cyclical learning approach, providing complete lessons on fractions and guiding your child step-by-step through the learning process. This post includes five video tutorials to enhance your child’s understanding.

Dividing a whole number by a fraction can be confusing. Why does dividing 6 by ¾ result in an answer larger than 6? 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 6 ÷ ¾ results in a number greater than 6. Without these visual aids, 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 clarify why dividing whole numbers by 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 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 whole numbers by 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:

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.

*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 Lazy Lion Pride

Meet the laziest pride of lions in the entire continent of Africa. This pride of cats has found 6 trees that overlap with thick branches intertwining from one tree to the next. The Lazy Lions divide each tree into 3/4 parts. Each lion gets 3/4 of a tree for napping.

How many of these Lazy Lions are sleeping in the trees?

* Hint: How many 3/4’s are in 6?

Watch this Free Tutoring for Math Video!

How to Divide Fractions Online Tutoring in Math: Challenge 2 Work With Me Mathematical Meerkats

These Meerkats are confused.  They just found three tasty scorpions, which they love to eat.  Now, they are leaning back and trying to do the math.  Each meerkat wants to eat 2/3 of a scorpion, because that is the perfect sized meal for a growing meerkat.

Is there enough scorpions for each of these four meerkats to have 2/3’s of a scorpion?

*How many 2/3’s are in 3?

Watch this Free Tutoring for Math Video!

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 Wet Willy

Wet Willy is an adorable pup who went for a swim in his owner’s pool. He jumped out, ran into the living room, and shook himself dry. Water flew all over the place. It splashed onto 3 paintings, one of which was an irreplaceable painting of President Washington.  Wet Willy knew that he did something wrong. He started licking all the water off the paintings, but he can only lick 3/5 of a painting at a time.

How many 3/5 portions of the paintings will Wet Willy have to lick before he’s done?

*Hint: How many 3/5’s are in 3?

Watch this Free Tutoring for Math Video!

How to Divide Fractions Online Tutoring in Math: Challenge 4 On Your Own Jeremiah the Bark Licking Giraffe

Jeremiah Giraffe has a passion for tree bark.  It is his favorite meal.  He wraps his tongue around a branch then pulls the bark off and into his mouth.  Yesterday, Jeremiah ate bark off 2 branches.  He eats 5/6 of a branch for each meal.

How many 5/6 meals of bark did Jeremiah have yesterday?

*Hint: How many 5/6’s are in 2?

Watch this Free Tutoring for Math Video!

How to Divide Fractions Online Tutoring in Math: Challenge 5 On Your Own Montana the lily Loving Moose

Montana Moose is always on the hunt for tasty water lilies to eat.  Today he is traveling to his favorite spot, where the water lilies grow big and tasty.  Montana Moose will travel 5 miles to get to the water lilies.  However, Montana Moose is easily distracted.  He trots for 4/7 of a mile and then notices a bird, or a frog, of a fox scampering across the prairie.  Montana Moose stops and watches the animals.

If Montana Moose breaks the trip into 4/7 mile sections, how many sections will he have to travel before he reaches his beloved water?

*Hint: How many 3/7’s are in 5?

Watch this Free Tutoring for Math Video!

Want More Tutorials?

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