6th Grade Math Textbook, Progress

Mixed Numbers and Improper Fractions

6-7

When you compute with fractions, you must

be able to express mixed numbers as

improper fractions and vice versa.

An improper fraction has a value

that is equal to or is greater than1.

It has a numerator equal to or

greater thanits denominator.

To rename a mixed number as a

fraction:


Multiply the whole number by

the denominator.

Add the product to the

numerator.

Write the sum over the

denominator.

To rename an improper fraction as a whole number

or as a mixed number:


Divide the numerator

by the denominator.

Write the quotient as the

whole number part.

If there is a remainder,

write it over the denominator

and express the fraction in

simplest form.

Study these examples.

10 
^56 



(6 1

6

0) 5



^606 
^5 
^665 

Remember: Read 9
^12 
as

nine andone half.

3 
^12 
 
^72 


(23) 1



 2

2


^198 
 9 
 1  8  
^198 
 2

9 R 2


^348 
 4 
 3  8 

^3

4

(^8)
 9
2
4



^3
4
(^8)
 9
1
2


improper fraction
3
^12


^72

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