Transcript Fractions V Mixed Numbers

2-5 Improper
Fractions &
Mixed Numbers
proper fraction
A proper fraction has a numerator
that is less than its denominator.
1
2
3
8
3
4
improper fraction
An improper fraction has a
numerator that is more than or
equal to its denominator.
11
2
33
8
5
4
What is the improper fraction?
Don’t write, just
figure it out
=
15
4
What is the improper fraction?
Don’t write, just
figure it out
=
19
4
What is the improper fraction?
Don’t write, just
figure it out
=
11
2
Mixed number
A mixed number shows the sum of
a whole number and a proper
fraction.
1
1
2
3
2
8
3
3
4
What is the mixed number?
Don’t write, just
figure it out
3
= 3
4
What is the mixed number?
Don’t write, just
figure it out
3
= 4
4
What is the mixed number?
Don’t write, just
figure it out
1
= 5
2
Ex: Mixed number and improper
fraction equal each other
Don’t write, just
figure it out
1
= 5 2
11
= 2
How to change an improper
fraction to a mixed number
 Divide the numerator
by the denominator.
 Put your remainder
over the denominator.
Convert Improper Fractions to
Mixed Numbers
2
13
55
= 3 5
33
3
2
Improper
Fraction
Divide
2
=1
3
Mixed
Number
Change this improper fraction to a
mixed number.
7
3
2 r1
= 3) 7
Put your remainder over
the denominator.
1
= 2 3
Change this improper fraction to a
mixed number.
8
3
2 r2
= 3) 8
Put your remainder over
the denominator.
2
= 2 3
Go to
page 78
How to change a mixed number to
an improper fraction
 Multiply
the whole number times
the denominator.
 Add your answer to the numerator.
 Put your new number
over the denominator.
Convert Mixed Numbers to
Improper Fractions
2
4
3
FIRST multiply denominator
by the whole number
How many thirds are
in the whole number?
3 x 4 = 12
3x4
12 + 2
NEXT
2
4
3
add the product
to the numerator
PLUS how many thirds
are in the fraction?
12 + 2 = 14
LAST
The sum is the numerator
Keep the same denominator
14
3
How to change a mixed number to
an improper fraction
 Multiply
the whole
number times the
denominator.
 Add your answer to the
numerator.
 Put your new number
over the denominator.
+1
4x =
2
9
2
Change this mixed number to an
improper fraction
 Multiply
the whole
number times the
denominator.
 Add your answer to the
numerator.
 Put your new number
over the denominator.
+2 20
6x =
3 3
Go to
page 77
Change this improper fraction to a
mixed number.
9
2
4 r1
= 2) 9
Put your remainder over
the denominator.
1
= 4 2
Change this improper fraction to a
mixed number.
2
r
1
11
= 5 ) 11
5
1
Put your remainder over = 2
5
the denominator.
Change this improper fraction to a
mixed number.
2
10 =
5 ) 10
5
If there is no remainder
your answer is a whole
number.
= 2
Change this improper fraction to a
mixed number.
4
16 =
4 ) 16
4
If there is no remainder
your answer is a whole
number.
= 4
Go to
page 78
Change this mixed number to an
improper fraction
 Multiply
the whole
number times the
denominator.
 Add your answer to the
numerator.
 Put your new number
over the denominator.
+ 2 17
3x =
5 5
Change this mixed number to an
improper fraction
 Multiply
the whole
number times the
denominator.
 Add your answer to the
numerator.
 Put your new number
over the denominator.
+ 3 19
4x =
4 4
Change this mixed number to an
improper fraction
 Multiply
the whole
number times the
denominator.
 Add your answer to the
numerator.
 Put your new number
over the denominator.
+ 2 20
6x =
3 3
Change this mixed number to an
improper fraction
 Multiply
the whole
number times the
denominator.
 Add your answer to the
numerator.
 Put your new number
over the denominator.
+ 3 43
8x =
5 5
Homework Time
Pg 93 2-32 even
(20-32 show work)