Download Mixed Number & Improper Fraction Notes

DO NOW 11/2/15
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Find the GCF of 6 and 24.
Find the LCM of 3 and 6.
Find the prime factorization of 72.
Evaluate: (3 x 2)2 ÷ 4 – 3
HINT: Look back at your notes if you’ve
forgotten how to do any of this!!!!
Mixed Numbers
& Improper
Fractions
Mixed Numbers & Improper Fractions
Essential Question:
How can I convert improper
fractions to mixed numbers
and mixed numbers into
improper fractions?
Common Core Obj./Student Friendly Terms:
(6.NS.1) Students will be able to convert improper
fractions to mixed numbers and mixed numbers to
improper fractions with at least 80% accuracy.
Mixed Numbers & Improper Fractions
Vocabulary:
 Mixed Number – a number containing a fraction
and whole number.
 Improper Fraction – a fraction with a numerator
that is larger than the denominator.
 Proper Fraction – a fraction with a numerator that
is smaller than the denominator.
Mixed Numbers & Improper Fractions
To change an
IMPROPER FRACTION
to a
MIXED NUMBER
use
LONG DIVISION
Mixed Numbers & Improper Fractions
To change a
MIXED NUMBER
to an
IMPROPER FRACTION
use
THE MAD CIRCLE
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
c) 32/8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
c) 32/8
Use LONG DIVISION to change each improper fraction
to a mixed number.
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
21
4
c) 32/8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
21
4
5
4 21
20
1
c) 32/8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
21
4
5
4 21
The denominator stays
20
the same
1
The remainder becomes
the numerator
c) 32/8
5
1
4
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
20
3
b) 20/3
c) 32/8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
20
3
b) 20/3
6
3 20
18
2
c) 32/8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
20
3
6
3 20
The denominator stays
18
the same
2
The remainder becomes
the numerator
c) 32/8
6
2
3
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
32
8
b) 20/3
c) 32/8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
32
8
b) 20/3
4
8 32
32
0
c) 32/8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
32
8
4
8 32
The denominator stays
32
the same
0
The remainder becomes
the numerator
c) 32/8
4
0
8
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed
number and simplify:
a) 21/4
b) 20/3
32
8
4
8 32
The denominator stays
32
the same
0
The remainder becomes
the numerator
c) 32/8
When 0 as numerator
get rid of fraction
4
0
8
4
Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 2: Write each mixed number as an
improper fraction and simplify:
a) 10 4/5
b) 3 3/7
c) 1 4/5
Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an
improper fraction and simplify:
a) 10 4/5
b) 3 3/7
c) 1 4/5
Use THE MAD CIRCLE to change each mixed number to
an improper fraction.
Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an
improper fraction and simplify:
a) 10 4/5
b) 3 3/7
+
10
x
c) 1 4/5
Product is Added to the Numerator
4 5 x 10 + 4 54
=
=
5
5
5
Denominator Multiplied by the
Whole Number
Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an
improper fraction and simplify:
a) 10 4/5
b) 3 3/7
+
3
x
c) 1 4/5
Product is Added to the Numerator
3 7 x 3 + 3 24
=
=
7
7
7
Denominator Multiplied by the
Whole Number
Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an
improper fraction and simplify:
a) 10 4/5
1
b) 3 3/7
+
x
c) 1 4/5
Product is Added to the Numerator
4 5x1+4 9
=
=
5
5
5
Denominator Multiplied by the
Whole Number
Mixed Numbers & Improper Fractions
Guided Practice
Write each improper fraction as a mixed number and
simplify:
a) 51/5
b) 44/8
c) 27/6
Write each mixed number as an improper fraction:
a) 4 ¾
b) 16 1/2
c) 7 5/8
Mixed Numbers & Improper Fractions
Guided Practice
Write each improper fraction as a mixed number and
simplify:
a) 51/5
b) 44/8
a) 10 1/5
b) 5 1/2
c) 27/6
c) 4 1/2
Write each mixed number as an improper fraction:
a) 4 ¾
b) 16 ½
c) 7 5/8
a) 19/4
b) 33/2
c) 61/8
Mixed Numbers & Improper Fractions
Independent Practice
Write each improper fraction as a mixed number and
simplify:
a) 48/3
b) 17/2
c) 27/8
Write each mixed number as an improper fraction:
a) 6 ¼ b) 27 3/4
c) 9 1/3
Raise your hand when you have completed this on your handout!
ANY QUESTIONS???
If you feel comfortable, go to IXL.com and
practice skill I.8. Once you get a score of
80% or higher you can play one of the
games underneath Task 3 if time permits.
Still have questions: Get Mrs.
Allison/Mrs. Whitehead to assist you.