This document provides instructions for rewriting mixed numbers and improper fractions. It defines key vocabulary like mixed number, improper fraction, and proper fraction. It then provides examples for writing mixed numbers as improper fractions by multiplying the denominator by the whole number and adding the numerator. Examples are also given for rewriting improper fractions as mixed numbers by dividing the numerator by the denominator and keeping the remainder as the new numerator over the same denominator. Students are prompted to practice these skills in their math notebooks.

1. 5.6 Mixed Numbers and Improper Fractions
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Objective: Rewrite mixed numbers and improper fractions.
Mr. Williams
GESD
jwilliams@gesd40.org
1

2. VOCABULARY
Mixed Number ­ the sum of a whole part and a fraction part (a whole
number with a fraction)
Improper Fraction ­ any fraction in which the numerator is larger than
the denominator.
Proper Fraction ­ a fraction in which the numerator is smaller than
the denominator.
2

3. http://www.unitedstreaming.com/videos/11505/chp896494_256k.asf
3

4. Writing mixed numbers as improper fractions.
Multiply the denominator and the whole number ( 4 x 5 )
3 Then add the numerator ( 4 x 5 ) + 3. 23
4 5 The answer is your new numerator. 5
Your denominator stays the same.
Lets try one!
First we multiply 3 times 3. (3 x 3)
2
3 3
Next we add the numerator. This gives us the new numerator. ( 3 x 3 ) + 2 = 11
Finally we use the same denominator. ( 3 )
11
ANSWER:
3
4

5. Try these in your math notes!
1
2 4
HINT: Denominator times whole number plus numerator
Denominator
5
4 6
5

6. Rewriting improper fractions!!
Divide 16 by 3. 5 R1
16 Write the whole number.
3 16
3 Your remainder is your numerator.
15
1
The denominator stays the same.
1
Your mixed number becomes: 5 3
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7. Try these problems in your math notebook!!
22
5
=
34
13
=
8
3
=
7