Adding Mixed Numbers With Common Denominators Worksheet
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1ANSWERS
ADDING MIXED NUMBERS
WITH COMMON DENOMINATORS
Add the mixed numbers. Make sure the final answer is in simplest form.
HELPFUL EXAMPLE #1
1
2
YOU ARE ADDING MIXED NUMBERS WHICH MEANS
3
+ 2
YOU HAVE WHOLE NUMBERS AND FRACTIONS.
5
5
1
2
3
FIRST, ADD THE FRACTIONS. SINCE THEY ALREADY HAVE A COMMON DENOMINATOR
+
=
(BOTTOM NUMBER) OF 5, YOU CAN JUST ADD THE NUMERATORS (TOP NUMBERS).
5
5
5
1
SOME PEOPLE LIKE
3 + 2 = 5
3
SECOND, QUICKLY ADD THE WHOLE NUMBERS.
TO RE-WRITE THE
5
PROBLEM LIKE THIS,
SO YOU CAN SEE THE
3
3
2
WHOLE NUMBERS AND
LAST, PUT THE TWO ANSWERS TOGETHER.
5 +
= 5
2
+
FRACTIONS, BUT THAT
MAKE SURE IT IS IN SIMPLEST FORM.
5
5
5
IS UP TO YOU.
Now your turn.
DON'T FORGET SIMPLEST FORM!
2
3
1
1
5
1
4
+
1
6
+ 8
4
+ 3
1.
2.
3.
6
6
3
3
9
9
5
2
2
5
14
7
6
3
3
ONE OF THEM DOES NOT HAVE
A WHOLE NUMBER. SO 6 + 0 = 6.
3
5
9
7
2
4
4
+ 7
5
+ 3
6
+
4.
5.
6.
14
14
20
20
7
7
4
4
6
11
8
6
7
5
7
HELPFUL EXAMPLE #2
4
3
2
+ 1
THIS IS AN IMPROPER FRACTION WHICH MEANS IT HAS A WHOLE NUMBER. ASK YOURSELF, "HOW MANY
5
5
5's GO INTO 7?" OR "WHAT IS 7 DIVIDED BY 5?" ONE 5 GOES INTO 7 AND YOU WILL HAVE 2 LEFT OVER.
4
3
7
7
2
+
=
=
1
FIRST, ADD THE FRACTIONS.
YOU'RE CHANGING AN IMPROPER
5
5
5
5
5
FRACTION INTO A MIXED NUMBER.
2 + 1 =
3
SECOND, ADD THE WHOLE NUMBERS.
2
2
3
+
1
= 4
LAST, PUT THE TWO ANSWERS TOGETHER.
5
5
Now your turn.
3
1
7
5
4
8
5
+ 2
3
+
2
+ 4
7.
8.
9.
4
4
9
9
13
13
1
12
8
4
6
3
13
6
4
15
9
5
3
4
+ 7
5
+ 8
9
+
6
10.
11.
12.
7
7
16
16
8
8
3
1
12
14
16
7
2
LEVEL 1
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