Transcript Fractions Mixed Numbers

Fractions
Mixed Numbers
6.1.9
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
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
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
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
Using a Calculator to Solve
Mixed and Improper Fractions
Change Mixed Number to Improper Fraction
[Clear] [Enter Whole Number] [Unit] [Enter
Numerator] [b/c] [Enter Denominator] [Press A
b/c d/e]
[Enter]
Change Improper Fraction back to Mixed Number
 [Press A b/c
d/e]
[Enter]