Adding Mixed Numbers With Unlike Denominators Worksheet
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1ANSWERS
ADDING MIXED NUMBERS
WITH UNLIKE DENOMINATORS
Add the mixed numbers. Make sure the final answer is in simplest form.
HELPFUL EXAMPLE #1
1
2
2
4
+
YOU ARE ADDING MIXED NUMBERS WHICH MEANS YOU HAVE WHOLE NUMBERS AND FRACTIONS.
4
6
1
2
7
FIRST, ADD THE FRACTIONS. THEY DO NOT HAVE COMMON DENOMINATORS SO YOU WILL
+
=
NEED TO FIND THE LEAST COMMON DENOMINATOR (LCD) OR LEAST COMMON MULTIPLE (LCM).
4
6
12
FIND THE LEAST COMMON MULTIPLE
1
3
3
HOW DID WE GET THAT ANSWER?
x
=
1 x 4 = 4
1 x 6 = 6
1
2
4
3
12
2 x 4 = 8
2 x 6 = 12 **
+
SEE HOW THEY NOW HAVE
3 x 4 = 12 **
3 x 6 = 18
COMMON DENOMINATORS?
4
6
2
2
4
4 x 4 = 16
x
=
6
2
12
** THEY HAVE 12 IN COMMON **
WE NEED TO CHANGE THE DENOMINATORS (BOTTOM
3
4
7
NUMBERS) TO 12, BUT REMEMBER, WHAT EVER WE
+
=
ANSWER
NOW WE CAN ADD.
DO TO THE BOTTOM WE NEED TO DO TO THE TOP!!!
12
12
12
2 + 4 = 6
SECOND, QUICKLY ADD THE WHOLE NUMBERS.
7
7
6
6
+
=
LAST, PUT THE TWO ANSWERS TOGETHER.
MAKE SURE IT IS IN SIMPLEST FORM.
12
12
Now your turn.
1
1
2
3
3
7
3
2
7
9
5
4
+
+
+
1.
2.
3.
2
3
5
10
8
12
5
7
23
5
16
9
6
10
24
HELPFUL EXAMPLE #2
3
5
3
5
+
4
8
x 2
x 1
FIRST, ADD THE FRACTIONS.
THE IMPROPER FRACTION
NEEDS TO BE CHANGED TO
A MIXED NUMBER. ASK
3
3
5
6
5
11
11
1
LEAST COMMON MULTIPLE
+
=
+
=
=
YOURSELF, "HOW MANY 8's
4
8
8
8
8
8
8
GO INTO 11?" OR "WHAT IS 11
1 x 4 = 4
1 x 8 = 8 **
DIVIDED BY 8?" ONE 8 GOES
2 x 4 = 8 **
2 x 8 = 16
THE COMMON DENOMINATOR IS 8. ALSO
INTO 11 AND YOU WILL HAVE
3 x 4 = 12
THE ANSWER IS AN IMPROPER FRACTION.
3 LEFT OVER.
NOW YOU HAVE ANOTHER WHOLE
NUMBER THAT NEEDS TO BE ADDED.
3 + 5 = 8
SECOND, ADD THE WHOLE NUMBERS.
3
3
8
1
9
+
=
LAST, PUT THE TWO ANSWERS TOGETHER.
8
8
Now your turn.
5
3
2
1
5
7
8
9
6
3
5
+
+
+
4.
5.
6.
6
4
3
5
9
12
7
13
5
18
9
6
12
15
36
LEVEL 1
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