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

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

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

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

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

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
6

Try these problems in your math notebook!!
22
5
=
34
13
=
8
3
=
7