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.
3
4
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
92
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.
For Example: 11
4
11 divided 4 equals 2; there is 3 left over.
234
QUIZ
6th Grade HomePage
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
CHECK6th Grade HomePage
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!
3
4
1 5_
+
x5 =
5 =
15
20
4 =
4 =x 4
20
19
20
Find the smallest number that both 4and 5 will go into.
This number is 20. Then multiply both the numerator and denominator to get to 20.
Once you have a common denominator, then add!
6th Grade HomePage
6 ½
5 1/3 +
X
X
3
3
2
2
6
5
3/6
2/6
Find the least common
multiple of 3 and 2. This
number is 6.
You MUST have a
common denominator
to add fractions!
Once you have the common
denominator, add the fractions, then add the
whole numbers!
11 5/6
QUIZ
6th Grade HomePage
5
6
2
3
X
X
X
X
1
1
2
2
5
6
4
6
To subtract fractions you must have a
common denominator!
Find the least common
multiple for 3 and 6. (In this case, 6) Then
multiply!
1
6
This is your answer!
QUIZ
6th Grade HomePage
1. 3 1/5 2. 2 ½
+ 4 ¼ + 1 ¾
3. 5 1/6 4. 1/3
+ 2 2/3 1/4
+ 1/2
CHECK
6th Grade HomePage
1. 3 1/5 2. 2 ½
+ 4 ¼ + 1 ¾
7 9/20 3 5/4 = 4 1/4
3. 5 1/6 4. 1/3
+ 2 2/3 1/4
7 5/6 + 1/2
13/12 = 1 1/12
6th Grade HomePage
5 ½
6 ¼
To subtract fractions you must have a
common denominator!
Find the least common
multiple of 4 and 2. This
number is 4.
X
X
2
2
1
1
5 2/4
6 ¼
3 ¼
ANSWER!
QUIZ
6th Grade HomePage
5 ½
6 ¾
X
X
2
2
1
1
5 2/4
2 3/4
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!
4 6/4
2 3/4
2 3/4
ANSWER!
4 2/4
2 3/4
+ 4/4
6th Grade HomePage
CHECK
1. ½ 2. 3 ¾
- ¼ - 1 ½
3. 4 1/5 4. 5
- 1 1/2 - 3 ¾
6th Grade HomePage
1. ½ 2. 3 ¾
- ¼ - 1 ½
¼ 2 ¼
3. 4 1/5 4. 5
- 1 1/2 - 3 ¾
2 7/10 1 ¼
6th Grade HomePage
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