Subtracting Mixed Numbers Worksheet Page 2
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1
2ANSWERS
SUBTRACTING MIXED NUMBERS
WITH COMMON DENOMINATORS
WITH BORROWING
Subtract the mixed numbers. Make sure the final answer is in simplest form.
HELPFUL EXAMPLE #2
1
2
9
4
-
THIS PROBLEM IS A LITTLE MORE DIFFICULT BECAUSE THE FIRST FRACTION IS TOO SMALL.
3
3
1
2
-
FIRST, CHECK IF YOU CAN SUBTRACT THE FRACTIONS.
3
3
1
2
NO,
IS TOO SMALL AND YOU NEED TO BORROW FROM THE WHOLE NUMBER SO YOU CAN SUBTRACT
FROM IT.
3
3
1
YOU WILL NEED TO TAKE 1 AWAY FROM THE 9 AND GIVE IT TO THE
. THEN CHANGE THE 1 TO A FRACTION WITH THE SAME
3
DENOMINATOR AND NUMERATOR SO IT STILL MEANS 1.
2
3
4
5
EXAMPLES:
AND SO ON... ALL MEAN 1.
2
3
4
5
1
1
THIS IS WHAT NEEDS
9
8
1
=
+
+
TO BE DONE.
3
3
3
THE 1 WAS CHANGED TO
, COMMON DENOMINATOR.
3
3
1
8
1
=
+
+
IT STILL EQUALS 1 BUT NOW IT CAN BE GIVEN TO THE
.
3
3
3
4
1
4
8
9
8
=
IS THE SAME AS
3
3
3
4
2
NOW THE PROBLEM LOOKS LIKE THIS AND YOU CAN FOLLOW THE
8
4
-
STEPS IN EXAMPLE #1 TO SUBTRACT THESE TWO MIXED NUMBERS.
3
3
4
2
2
-
=
FIRST, SUBTRACT THE FRACTIONS.
3
3
3
8
4
4
-
=
SECOND, SUBTRACT THE WHOLE NUMBERS.
2
2
4
4
and
=
LAST, PUT THE TWO ANSWERS TOGETHER. IS IT IN SIMPLEST FORM?
3
3
Now your turn.
4
7
14
8
8
10
7
3
1
8
6
2
-
-
-
1.
2.
3.
9
9
15
15
11
11
2
2
9
1
2
4
3
5
11
3
5
9
13
5
11
9
5
4
4
2
-
-
-
4.
5.
6.
8
8
14
14
18
18
3
5
2
8
1
4
7
3
2
LEVEL 1
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