How To Do Fraction Math – Well, I’m ready to share a great way to divide one part into another. Well, maybe it’s not as breathtaking… like Andrew Wiles’ proof of Fermat’s Last Theorem… but at least it’s interesting. Best of all, it’s fun and student-friendly!
Last week I asked if anyone had any tricks up their sleeves to make dividing fractions easier for students. And after hearing from you I said I would share a hoax.
How To Do Fraction Math
I got great feedback from Michelle, who said she used “Kentucky Fried Chicken” (like fried chicken) in her class to refer to “keep changing.” The idea is that you keep the first part and then change the sign from multiplication to division. Finally flip the second part, the one on the right. Where I live, we have the same mnemonic, which uses the phrase: copy-dot-flip, “dot” meaning hit point.
Fraction Hack #2: The Size Of The Smaller Number
But what I want to share with you is a completely different way of separating one part from another, one that saves time and makes it easier and more fun – in my humble opinion – than the standard method.
The method I’m going to show you will work for any complex fractional situation you might encounter, such as:
For this blog post, I will limit the chat to the arithmetic type of complex fractions, i.e. those containing only numbers and no variables. And if it seems important, I’ll make another post later using the same process for algebraic fractions.
So what is this great method? Well, this is based on the day I found myself fiddling with fractions divided by fractions. I realize that after a KFC or copy-dot-flip, what you get is – usually – really easy to understand, as this next image shows you with a quick proof:
Oh Boy! I Get To Do Math!: How To Add Or Subtract Two Fractions By The Butterfly Method
If you take a minute to think about it, the two terms in the result element — the terms a and d — have something in common; They were outside the original complex part, so I call these words “outside”. Similarly, the two terms in the resulting denominator — the b and c terms — are both inside the complex fraction, so I call them “inside.”
So when you divide fractions in this vertical form, the answer is simply outside, multiply each other, divide by inside, multiply each other.
I find it easy for students to remember and easy to do. The following paper summarizes the idea and provides a fun way to remember the concept, and to think of a stack of words as a “sandwich”.
So, to put it into words, you can think of the complex four-step part you start out with as a sandwich, with two slices of bread on top and bottom and slices of bologna and cheese in the middle.
Simple And Fun Division Bingo Game: Answers As Fractions
The key is to simplify the sandwich fraction, all you have to do is put two slices of bread together in the numerator and multiply them, then put the bologna and cheese in the denominator and multiply them.
Simplifying these complex fractions becomes very easy with this idea. Here is a picture showing how to do it, and how this method saves time as we learned, using each other.
And there is more good news. This new way of looking at complex fractions gives students a great new way to simplify fractions before arriving at an answer. And when you simplify completely, the answer you get is a part that’s already completely reduced, so you don’t have to worry about that part.
So now you may want to go through the entire process from start to finish so you can decide if this strategy is right for you. Well, that’s what we’ll show you next. As you can see, I’m constantly highlighting the outside with pink, and the inside with yellow.
Introduction To Fraction: Concepts, Methods, Formulae, Videos, Examples
Finally, you might say the “hard” problem. But check it out. Is it really harder than we made it? It’s your decision
In my next blog, I’m going to give you some problems like this, so you can get used to this trick and start shaving precious seconds and nanoseconds off your time doing your homework, so you spend more time doing all the things you want to do more of: texting, watching your tube , hiking, skating (roller and ice) and so on. etc. You know better than me.
Josh Rappaport is the author of five books on mathematics, including the Parents’ Choice Award-winning Algebra Survival Guide. If you like the way Josh explains these issues, you will absolutely love the Algebra Survival Guide and accompanying workbook, both available on Amazon.com, click the links in the sidebar for more information!
How To Multiply Fractions
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There are 7 references cited in this article, which can be found at the bottom of the page.
If you have a whole pizza and your friend eats half of it, they eat half of the whole pizza. You can divide the pizza into as many slices as you want, and each slice is part of that whole pizza. Knowing how to understand and use fractions is an important skill in math and everyday life.
This article was co-authored by staff. Our team of trained editors and researchers cross-check articles for accuracy and completeness. Our content management team carefully monitors the work of our editorial staff and ensures that every article is backed by reliable research and meets our high quality standards. This article has been viewed 114,574 times.
Printable Fraction Board Games For Multiplying And Dividing Fractions
To understand fractions, start by identifying the numerator and denominator of a fraction. The factor is a number written on a line. It is “part” of the “whole” you are talking about. The denominator represents the bottom number of the fraction and the “whole”. For example, the fraction 1/4 has 1 as the numerator and 4 as the denominator. This means that the whole is divided into 4 equal parts! For tips on identifying and simplifying improper fractions, read on
This Complete Guide to Multiplying Fractions provides a step-by-step tutorial on how to multiply fractions and includes several examples, an animated video mini-lesson, a free worksheet, and an answer key.
The rules for multiplying fractions are so simple that the rule can be applied to a variety of problems. Let’s proceed to apply this rule in some examples.
Note that the fraction (3/8) cannot be simplified (because 8 and 3 do not have a common denominator).
How To Simplify Fractions
Now that you understand how to use the fraction multiplication rule, you can solve this problem where you need to multiply fractions and whole numbers.
Since you are multiplying fractions by whole numbers, you need to convert the whole number to a fraction.
15/24 can be simplified because both 15 and 24 are divisible by 3 (which is the greatest common factor of 15 and 24). So you can simplify a fraction by dividing both the numerator and the denominator by 3, as follows:
Check out the video lesson below to learn more about multiplying fractions and more free practice problems:
Hands On Activities For Teaching Fractions
Looking for some extra practice on multiplying fractions? Click the links below to download your free worksheets and answer key: As a former math teacher, I’ve always had a soft spot for challenges when trying to use technology in math. A common pain point involves trying to put fractions or mixed numbers into a Google Doc or slideshow.
Adding plain text, numbers and symbols is a snap. However, things get tricky when trying to correctly represent the numerator over the denominator in a program where you only want to write from left to right.
Thanks to Google Docs and Google Forms, you can use an add-in like g (Math) that lets you generate a fraction or mixed number and then convert it into an image that you can insert into a document or form. Get g (Math) for documents or g (Math) for forms.
Unfortunately, Google Drawings and Slides does not support add-ons yet (Google please!). So if you want to add a fraction or mixed number to a slideshow or diagram, you’re in
Grade 2 Fraction Word Problem Worksheets
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