Name DateWORKSHEET 2.3: REWRITING MIXED NUMBERS
AS IMPROPER FRACTIONS
-------------------------------------------------------------------------------------Every mixed number (positive or negative) can be rewritten as an improper fraction.EXAMPLES
- To rewrite a positive mixed number as an improper fraction, multiply the denominator
by the whole number, add the numerator, and write the answer over the denominator.
32
7
=
7 × 3 + 2
7
=
23
7
- To rewrite a negative mixed number as an improper fraction, write it as a positive
improper fraction, follow the procedure above, and then write its opposite.
− 3
2
7
=−
(
3
2
7
)
=−
(
7 × 3 + 2
7
)
=−
23
7
DIRECTIONS: Rewrite the following mixed numbers as improper fractions.
- 5
3
4
- − 6
5
8
- 2
8
15
- − 7
5
6
- 3
7
12
- − 9
3
4
- 1
11
16
- − 4
9
10
- 4
4
5
- − 10
2
5
CHALLENGE:Is the following answer correct? 315
45=150
45Explain your
reasoning.53Copyright
©
2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.