To change a mixed number to an improper fraction, multiply the denominator by the

whole number and then add the numerator to this amount. This product will become the

new numerator and the denominator will remain the same. For example:

Improper

Mixed Number

Fraction

(1)

1 1/2 =

2x1+1

=

3/2

(2)

4 7/8 =

8x4+7

=

3 9/8

(3)

2 3/8 =

8x2+3

=

9/8

b.

Change the following mixed numbers to improper fractions.

(1)

2 3/4

=

____ x ____

+

____ =

_____

(2)

12 1/4

=

____ x ____

+

____ =

_____

(3)

2 1/9

=

____ x ____

+

____ =

_____

(4)

5 4/9

=

____ x ____

+

____ =

_____

Answers: (1) 11/4

(2) 49/4,

(3) 19/9,

(4) 49/9

a.

Use the following steps when adding fractions:

(1)

Find a common denominator for all fractions.

(2)

Add the numerators only.

(3)

The denominator remains the same.

(4)

Reduce the answer to lowest terms, if necessary.

b.

For example:

Steps 2

Step 4

Step 1

and 3

(1)

1/2 + 1/4 =

2/4 + 1/4 =

3/4

(2)

3 /4 + 2/6 =

9/12 + 4/12 =

13/12 =

1 1/12

MD0802

1-8

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