How to Convert an Improper Fraction Into a Mixed Number

How do I convert an improper fraction into a mixed number?
An improper fraction is defined as a fraction where the numerator is greater than the denominator.
It's very easy, just follow the steps.

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www.I-Hate-Math.com

Thanks for Learning!

Things You'll Need

• Pen
• Paper

Instructions

1. 

   Let's remember first: A fraction is formed by the numerator (the number on top) and the denominator (the number on the bottom). Our fraction is improper since 13 is greater than 3

2. 

   Place your numbers in the right place. An easy way to remember where to place the denominator and the numerator. Remember the name: David Newman. David = Denominator, Newmand = Numerator. (Check the image)

3. 

   We need to divide 13 by 3. We ask: "How many times does the number (3) fit into the number (13)?". The answer is 3 fits into 13 four (4) times

4. 

   Place the number 4 on top, then multiply 4 times 3 , (4X3) = 12. Place 12 below 13 and subtract (13-12) = 1

5. 

   Let's organize our numbers. The number four (4) is the whole number, the remainder one (1) goes on top, and finally our denominator three (3) goes on the bottom. Now we know that 13/3 = 4 1/3, that is equals to 4.33.

Tips & Warnings

• Our answer is 4 1/3. If we divide 12 by 3, that equals 4, so if you divide 13 by 3, equals to 4 1/3 that is also equals to 4.33

• You can convert a mixed number into an improper fraction by multiplying the whole number by the denominator (4x3) and then adding the remainder. We get: (4x3) + 1 = 13, then we keep the denominator 3.

• If you want to watch this article as a video check our website www.I-Hate-Math.com

Resources

• www.I-Hate-Math.com