Transcript Mixed Number

Fractions V
Mixed Numbers
By Monica Yuskaitis
Edited by LaDora Loggins
Mixed Number
A
mixed number has a part that
is a whole number and a part
that is a fraction.
3
= 1 4
What is the mixed number?
3
= 3
4
What is the mixed number?
3
= 4
4
What is the mixed number?
1
= 5
2
Improper Fraction
A
fraction in which the
numerator is greater than the
denominator.
=
8
4
What is the improper fraction?
=
15
4
What is the improper fraction?
=
19
4
What is the improper fraction?
=
11
2
How is the mixed number below
related to the
improper fraction?
1
= 5 2
11
= 2
Form of a Number

Mixed numbers and improper fractions
are two ways we can write a number
that has the same value. One form is
easier to work with while the other is
easier to read. We choose which form
we want to use depending on what we
are doing in the problem.
How to change an improper
fraction to a mixed number
 Divide the numerator by the
denominator.
 Put your remainder over the
denominator.
=
5
2
How to change an improper
fraction to a mixed number
2 ) 5
numerator
denominator
=
5
2
How to change an improper
fraction to a mixed number
2 r1
numerator
)
2 5
denominator
=
5
2
How to change an improper
fraction to a mixed number
1
denominator 2 2
numerator
)
2 5
Put your remainder over the
Denominator.
=
5
2
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
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
On-line Practice: Improper
Fraction to a Mixed Number
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
7
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
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
On-line Practice: Mixed
Numbers to Improper Fractions
Which form of the number do I use?

Mixed Number
You should change all
improper fractions to
mixed numbers when you
get your final answer. An
improper fraction is not in
a simplified terms.

Improper Fraction
It is easiest to perform
operations on an
improper fraction.
Change mixed numbers
to improper fractions
BEFORE adding,
subtracting, multiplying
or dividing.