FRAME 2-34.
Solution to
Frame 2-33.
In working some problems, it may be more convenient to multiply by a
fraction rather than a mixed number. In such cases, you need to know
10/3
= 3 1/3
how to change a mixed number into an improper fraction.
100/14 = 7 2/14
One way of thinking about a mixed number is as a whole number plus a
fraction. To change a mixed number to an improper fraction
= 7 1/7
(1) Change the whole number to an improper fraction with the same
20/4
= 5
denominator as the fraction, then
(2) Add the two fractions together.
Example: 5 2/3 = 5 + 2
5x3
2
15 + 2
15 + 2
17
=
+
=
=
=
1
3
1x3
3
3
3
3
3
Change the following mixed numbers to improper fractions.
2 1/2 =
3 2/5 =
14 7/23 =
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FRAME 2-35.
Solution to
Frame 2-34.
A shortcut for changing a mixed number to an improper fraction is to:
2 1/2
= 5/2
(1) Multiply the whole number by the denominator,
3 2/5
= 17/5
(2) Add the numerator to the product, and
14 7/23 = 329/23
(3) Put the sum over the denominator.
For example: 5 2/3 = 5 x 3 + 2
15 + 2
17
=
=
3
3
3
Change the following mixed numbers to improper fractions using the
shortcut method:
2 1/3
1 1/10
4 2/5
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MD0900
2-15