Name:
Adding Mixed Numbers
With Different Denominators
Step 1: Find the Least Common Denominator (LCD).
3
+
2
1
2
3
8
Step 2: Using the LCD, find equivalent fractions.
3
LCD = 8
Step 3: Add the fractions.
3
+
2
1
=
2
3
=
8 +
+
3
2
4
8
3
8
7
8
2
1
=
2
3
=
8 +
3
2
4
8
3
8
Step 4: Add the whole numbers.
3
+
2
1
=
2
3
=
8 +
3
4
1
+ 3 12
5
3
7
1
3
f.
1
2
3
+ 4 16
j.
e.
8
+
i.
b.
4
6
m.
8
+
3
8
1
8
3
5
4
+ 6 15
c.
5
6
1
12
g.
1
6
1
3
k.
5
o.
9
1
+
7
+
n.
2
5 12
+
7
5 24
2
5
Solve and simplify your answer.
a.
3
4
+
4
4
+
4
9
1
3
d.
3
8
3
8
h.
+
l.
1
5
7
+ 3 10
p.
9
2
5
1
3
5
1
8
7
+
1
2
5
+ 3 11
3
3
6 10
5
5
+
1
9
3
18
7
+
6
Super Teacher Worksheets - www.superteacherworksheets.com
3
5
1
4
4
8
3
8
7
8
ANSWER KEY
Adding Mixed Numbers
With Different Denominators
Step 1: Find the Least Common Denominator (LCD).
3
+
2
1
2
3
8
Step 2: Using the LCD, find equivalent fractions.
3
LCD = 8
Step 3: Add the fractions.
3
+
2
1
=
2
3
=
8 +
+
3
2
4
8
3
8
7
8
2
1
=
2
3
=
8 +
3
2
4
8
3
8
Step 4: Add the whole numbers.
1
=
2
3
=
8 +
3
+
2
3
4
1
+ 3 12
b.
5
10
5
=
8 12 8 6
e.
8
+
4
3
7
1
3
3
5
4
+ 6 15
9
1
+
16
1
2
3
+ 4 16
j.
7
+
11
9
10 16
8
+
8
2
3
8
1
8
g.
5 12
+
7
5 24
17
10 24
4
+
k.
4
9
1
3
d.
3
8
3
8
h.
7
9
1
2
5
+ 3 11
3
3
6 10
+
1
5
7
+ 3 10
9
12 10
3
5
1
8
5
29
l.
5
+
21
9
7
7 10
12 40
1
9
3
18
5
6 22
o.
2
5
1
7
+
6
3
=4
8
4
4
3
1
=9
6
2
5
n.
4
1
=8
8
2
1
6
1
3
4
8
112
6
m.
5
6
1
12
4
+
11
12 21
i.
c.
13
15 15
f.
2
5
Solve and simplify your answer.
a.
3
5 18
p.
7
+
6
3
5
1
4
17
13 20
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4
8
3
8
7
8