Transcript Adding and Subtracting Fractions REview. ppt

 Parts of a Fraction
 Changing Improper Fractions into Mixed Numbers and
Vice-Versa
 How to Add Fractions
 How to Add Mixed Numbers
 How to Subtract Fractions
 How to Subtract Mixed Numbers
 How to Borrow When Subtracting Fractions
6th Grade HomePage
The top number of a fraction is
the numerator.
The bottom number of a
fraction is the denominator.
6th Grade HomePage
3
4
QUIZ
6th Grade HomePage
To change a mixed number into an improper fraction get
MAD…Multiply – Add – Put over Denominator
4 ½
4 x 2 = 8
8 + 1 = 9
9
2
To change an improper fraction into a mixed number divide
the numerator by the denominator; whatever is left over is
the new numerator…keep the same denominator.
11 divided 4
3
For Example: 11
equals 2; there
4
4
is 3 left over.
2
Change the following into Improper Fractions. REVIEW
1. 3 ½
2. 5 5/8
3. 12 1/3
4. 15 ¾
Change the following into Mixed Numbers.
REVIEW
1. 40/13
2. 100/9
3. 4/3
4. 9/2
6th Grade HomePage
CHECK
Change the following into Improper Fractions.
1.
3 ½
=
7/2
2. 5 5/8
=
45/8
3. 12 1/3
=
37/3
4. 15 ¾
=
63/4
Change the following into Mixed Numbers.
1. 40/13
=
3 1/13
2. 100/9
=
11 1/9
3. 4/3
=
1 1/3
4. 9/2
=
4
½
6th Grade HomePage
When adding fractions you MUST have a common
denominator!
Find the smallest number
that both 4and 5 will go into.
This number is 20. Then
15
5
=
3
multiply both the numerator
x
5 =
and denominator to get to 20.
20
4
+
1 x
5_
4
=
4
=
4
20
19
6th Grade HomePage
20
Once you have a common
denominator, then add!
QUIZ
6 ½
+ 5 1/3
X
X
3
3
2
2
6 3/6
5 2/6
11
You MUST
have a
common
denominator
to add
fractions!
Find the least
common
multiple of 3
and 2. This
number is 6.
5/6
Once you have the
common denominator,
add the fractions, then
add the whole
numbers!
6th Grade HomePage
QUIZ
5
X
1
6
X
1
2
X
2
3
X
2
To subtract
fractions you
must have a
common
denominator!
Find the least
common
multiple for 3
and 6. (In this
case, 6) Then
multiply!
5
6
4
6
1
6
This is your
answer!
6th Grade HomePage
1. 3 1/5
2.
+ 4 ¼
3. 5 1/6
+ 2 2/3
4.
2
½
+ 1
¾
1/3
1/4
+ 1/2
CHECK
6th Grade HomePage
1. 3 1/5
2.
+ 4 ¼
7 9/20
3. 5 1/6
2
½
+ 1
¾
3 5/4 = 4 1/4
4.
1/3
+ 2 2/3
1/4
7 5/6
+ 1/2
13/12 = 1 1/12
6th Grade HomePage
QUIZ
5 ½
2 ¼
To subtract
fractions you
must have a
common
denominator!
X
2
2
1
X
1
Find the least
common
multiple of 4
and 2. This
number is 4.
5 2/4
2 ¼
3 ¼
ANSWER!
6th Grade HomePage
5 ½
2 ¾
X
2
5 2/4
4 2/4
4 6/4
2 3/4
2 3/4
2 3/4
2
1
X
1
First…Find a
common
denominator.
Find the least
common multiple of
4 and 2. This
number is 4.
You
cannot
subtract 3
from 2, so
you
MUST
borrow!
2
3/4
ANSWER!
6th Grade HomePage
1. ½
2.
- ¼
- 1 ½
3. 4 1/5
- 1
3 ¾
6th Grade HomePage
1/2
4.
5
- 3 ¾
CHECK
6th Grade HomePage
1. ½
2.
- ¼
- 1 ½
¼
2 ¼
3. 4 1/5
- 1
2
3 ¾
1/2
7/10
4.
5
- 3 ¾
1 ¼