Name DateWORKSHEET 2.8: ADDING RATIONAL NUMBERS
-------------------------------------------------------------------------------------Follow the steps below to add positive and negative rational numbers:- Express any mixed or whole numbers as improper fractions.
- Rewrite any negative fractions so that the denominator is positive.
- Find the least common denominator and write equivalent fractions.
- Add the numerators, following the rules for adding integers.
- Write the sum over the denominators.
- Simplify the answer.
EXAMPLE
− 42
3
+ 1
5
6
=
− 14
3
+
11
6
=
− 14 × 2
3 × 2
+
11
6
=
− 28
6
+
11
6
=
− 17
6
=− 2
5
6
DIRECTIONS: Find each sum.
- −
1
5
+
(
−
3
4
)
5
8
+
(
−
1
7
)
3.−
1
8
+ 2
1
3
4.− 5 + 2
9
14
5.− 2
3
4
+
(
− 1
4
5
)
3
4
+
(
−
7
8
)
- 3
6
7
+
(
− 2
1
4
)
8.− 2
4
5
+
(
− 3
5
6
)
6
7
+
(
− 1
1
8
)
10.− 6
1
10
+ 4
2
5
CHALLENGE:Find a positive rational number and a negative rational number
whose sum is1
2.63Copyright
©
2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.