Fractions Packet - Examples And Worksheets With Answers Page 10
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42Mixed Numbers
A “mixed” number is one that is part whole number and part fraction.
1
5
2
are samples of mixed numbers. Mixed numbers have to be
3
,
4
,
11
2
8
3
written as fractions only if you’re going to multiply or divide them or use them
as multipliers or divisors in fraction problems. This change of form is easy to
1
do. Think about
. That’s 3 whole things and half another. Each of the 3
3
2
2
2
2
2
wholes has 2 halves (
. The number 3 is 1+1+1 or
That’s
1
.
)
2
2
2
2
6
1
7
and, with the original
, there’s a total of
. You don’t have to think of
2
2
2
every one this way; just figure the whole number times the denominator
1
3
2
1
7
(bottom) and add the numerator (top)
3
.
2
2
2
1
3
2
1
7
5
4
8
5
32
5
37
3
4
2
2
2
8
8
8
8
2
2
3
2
6
2
8
5
11
9
5
99
5
104
2
11
3
3
3
3
9
9
9
9
Exercise 6
(answers on page 39)
Change these mixed numbers to “top heavy” fractions:
7
2
1
1
1.
2.
3.
4.
5
9
2
1
8
3
2
8
1
3
2
5
8.
5.
6.
7.
13
7
12
9
9
2
4
5
These “top heavy” forms are “work” forms, but they are not usually acceptable
answers. If the answer to a calculation comes out a top heavy fraction, it will
have to be changed to a mixed number. This can be done by reversing the times
1
7
2
3
1
7
and plus to divide and minus.
became
by
.
can go back to
3
2
2
2
2
1
3
by dividing 7 and 2.
2
Fractions Packet
Created by MLC @ 2009 page 10 of 42
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