# Subtracting Mixed Numbers Worksheet

SUBTRACTING MIXED NUMBERS
WITH UNLIKE DENOMINATORS
WITHOUT BORROWING
Subtract the mixed numbers. Make sure the final answer is in simplest form.
5
3
ON THESE PROBLEMS, WE WILL PRACTICE FINDING A COMMON
6
- 4
MULTIPLE OR DENOMINATOR BUT WILL NOT HAVE TO BORROW.
6
8
5
3
FIRST, SUBTRACT THE FRACTIONS. THEY DO NOT HAVE COMMON DENOMINATORS SO WE WILL
-
FIRST, CHECK IF YOU CAN SUBTRACT THE FRACTIONS.
NEED TO FIND THE LEAST COMMON DENOMINATOR (LCD) OR LEAST COMMON MULTIPLE (LCM).
6
8
5
3
6
6, 12, 18, 24 , 30
MULTIPLES
THEY HAVE 24 IN COMMON, SO CHANGE
-
OF 6 AND 8
THEIR DENOMINATORS (BOTTOM) TO 24.
8
8, 16, 24 , 32
6
8
5
4
20
=
x
REMEMBER, FRACTIONS MUST
20
9
11
6
4
24
HAVE THE SAME DENOMINATORS
-
=
BEFORE THEY CAN BE SUBTRACTED.
3
3
9
24
24
24
=
x
ALSO, IF THE FIRST FRACTION IS
8
3
24
TOO SMALL YOU WILL HAVE TO
20 IS BIGGER THAN 9 WHICH
BORROW FROM THE WHOLE
MEANS WE CAN SUBTRACT.
WHATEVER WE DO TO THE BOTTOM
NUMBER. BORROWING IS COVERED
WE NEED TO DO TO THE TOP!!!
IN EXAMPLE #2.
6
- 4 = 2
SECOND, QUICKLY SUBTRACT THE WHOLE NUMBERS.
11
11
2
= 2
and
LAST, PUT THE TWO ANSWERS TOGETHER. MAKE SURE IT IS IN SIMPLEST FORM.
24
24
3
1
1
3
7
3
7
- 2
8
- 4
6
-
6
1.
2.
3.
4
6
2
7
10
8
7
1
13
5
4
12
14
40
5
5
7
1
5
4
-
9
- 1
3
- 2
4.
5.
6.
9
12
8
4
17
5
5
5
4
8
1
36
8
17
2
4
7
5
3
2
6
- 3
2
-
5
-
4
7.
8.
9.
3
15
12
9
5
11
2
1
23
3
2
1
5
36
55
Circle the greatest (largest) fraction in each group.
4
2
5
5
2
3
6
9
or
or
or
or
10.
11.
12.
13.
5
3
7
8
9
14
13
17
1
LEVEL 1