**numerators**~ above top and

**denominators**on the bottom. Fractions can be hopeful or negative. Until now, we have just looked in ~ fractions the are much less than one. That didn"t issue whether it was one fifty percent (1/2) or nine hundred ninety-nine one-thousandths (999/1000), the values were still less than one.When you have a portion that is better than one, it can come in 2 formats.

**Mixed numbers**have actually a entirety number adhered to by the fraction (2 1/2). You would certainly say "two and one half." The other layout is an

**improper fraction**whereby the molecule is higher than the denominator (5/2). Mathematicians would say that is 5 halves. Friend will find both types of fountain in her problems. Both that those examples represent the exact same value (2 1/2 = 5/2). Here"s why...• 2 1/2 is the exact same amount together two totality objects and half of a third.• You might break those two totality objects right into halves as well. If every object had actually two halves, then 2 objects would offer you a complete of four pieces (2x2=4).• That way you have four halves from the totality objects and also one-half the a third.• you would have actually a full of 5 halves. You deserve to write 5 halves together 5/2.Different methods of Writing mixed NumbersAs we just told you, a combined number is a entirety number v the portion written come its ideal side.• 2 1/2, 5 8/13, 6 4/7You will usually see the fraction written in its most basic form.• 6 4/7 correct• 6 8/14 not correct (needs to it is in reduced)You can have troubles that asking you come simplify blended numbers. Don"t worry. You generally don"t worry about the totality number. Once you simplify, simply worry about the fraction.

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**Example:**Simplify 8 4/8• just worry around simplifying the portion 4/8.• We"ll division by the usual factor 4 and also get 1/2.• The simplified mixed number is 8 1/2.Another layout for a portion that is better than one is the

**improper fraction**. They are referred to as "improper", because fractions are constantly supposed to it is in written through a molecule (number on top) that is much less than the denominator (number on the bottom). 2/3 is a proper fraction. 3/2 is one improper portion because 3 > 2. They are useful in countless problems as soon as you add fractions and subtract fractions. Friend will also use improper fractions as soon as you work-related with

**reciprocals**.

**Is 1/3 an wrong fraction? No.**1

**Is the mutual of 8/11 an not correct fraction? Yes.**

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The reciprocal is 11/8. 11/8 is an not correct fraction.So, we deserve to make one improper fraction by detect the reciprocal. Girlfriend may also need to make an improper fraction from a blended number. We just did the above, but let"s carry out it one an ext time...

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**Example:**Write 2 1/2 together an improper fraction.• The identical of two is 2/1 or 4/2. If you space unsure, examine using division.• Rewrite the combined number together an enhancement problem. 2 1/2 = 2 + 1/2• instead of the new value the two. 2 + 1/2 = 4/2 + 1/2• making use of a little portion addition... 4/2 + 1/2 = 5/2• 5/2 is one improper fraction that is tantamount to 2 1/2.

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Useful referral Materials

**Wikipedia:**

*https://en.wikipedia.org/wiki/Fraction_%28mathematics%29*

**Encyclopædia Britannica:**

*http://www.britannica.com/topic/fraction*

**University of Delaware:**

*https://sites.google.com/a/udel.edu/fractions/*

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