Download Add and Subtract Mixed Numbers

Teacher Key
Fractions
Add and Subtract Mixed Numbers
Complete each sentence with the correct word or phrase.
proper
A. A fraction less than 1 is called a/an ______________
fraction.
improper
B. A fraction greater than 1 is called a/an _____________
fraction.
mixed number
C. A number containing both a fraction and a whole number is a/an __________________.
like
D. Fractions with the same denominator are called ____________
fractions.
unlike
E. Fractions with different denominators are called ______________
fractions.
Add the mixed numbers. Simplify your answer.
F.
1
3
2
+
3
2
3
=3
3
2
G.
2
7
2
+
14
5
5
H.
3
7
7
9
5
+
6
5
5
29
11
= 6
18
18
© 2003 CompassLearning, Inc.
1
2
1
+4
2
4
8
2
=9
2
3
4
1
+2
2
1
3
5
1
= 4
4
4
1
8
1
+3
6
1
4
7
24
2
5
1
+1
3
5
6
11
15
3
8
1
+2
5
8
10
23
40
6
+4
5
6
10
5
6
Activity 56291
Teacher Key
Fractions
Add and Subtract Mixed Numbers
Subtract the mixed numbers. Simplify your answer.
1
I.
5
2
3
2
1
–3
–
3
2
1
J.
2
3
1
7
9
5
–
6
5
4
17
18
1
2
9
2
5
1
–1
3
5
4
1
15
7
–3
1
6
– 4
5
6
5
5
6
2
1
6
Solve.
1
1
quarts of blue and 2 quarts of red. How
4
3
much more blue paint than red paint will she use?
K. Lydia is mixing paint. She plans to use 4
Lydia will use 1
11
quarts more blue paint than red paint.
12
L. Tim wants to double the recipe for the cookies he is making. If the original recipe calls
2
for 2 cups of sugar, how much sugar will he need if he doubles the recipe?
3
1
Tim will need 5 cups of sugar .
3
© 2003 CompassLearning, Inc.
Activity 56291
Teacher Key
Fractions
Connections
Think About It
When adding or subtracting mixed numbers, why should you start performing the operation
in the fraction column as opposed to the whole number column?
SAMPLE
RESPONSE: When adding or subtracting mixed numbers, it is best to start
________________________________________________________________________
in
the fraction column because you may need to regroup. This follows the same
________________________________________________________________________
concept
for adding or subtracting whole numbers. Start in the left column with the
________________________________________________________________________
ones.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
Halving and Doubling
Each time a piece of paper is folded exactly in half, its dimension is halved as well. Using
this concept, figure out the dimensions of the paper as it is unfolded.
2
1
in.
4
4
1
in.
2
4
2
© 2003 CompassLearning, Inc.
1
in.
4
1
in.
2
9 in.
4
1
in.
2
4
1
in.
2
Activity 56291