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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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

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