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The ideas in this fraction lesson are taken from the Fractions 1 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.


How to convert a mixed number into a fraction
Free lesson plan from HomeschoolMath.net

How many fourth parts is  3

1

4

?
Here are
4 fourths.
 
Here are
4 fourths.
 
Here are
4 fourths.
 
Here is
1 fourth.
So total is ___ fourths = 

 

4

How many fifth parts is  4

2

5

?

How can you use multiplication 
to find how many fifths you see?

Total is __ ×__ + __ = ___ fifths = 

 

5

1.  Draw a picture, and write these mixed numbers as fractions.

 

 

1

1

5

=
 

 

1

2

3

=
 

 

3

4

5

=
 

 

2

3

4

=


The SHORTCUT 
To convert a mixed number into a fraction you can first multiply the wholes times what kind of parts you have (denominator) and then add to that the numerator.  That gives you the amount of whatever parts you have.  The denominator is the same.

 
2.  Write the mixed numbers as fractions.  Try to picture them in your mind!  You can also use the 'shortcut'.

3

3

4

=
2

1

9

=
5

3

4

=
6

2

9

=
10

3

8

=
4

1

8

=

 

Next lesson: fractions to mixed numbers


The ideas in this fraction lesson are taken from the Fractions 1 ebook sold on this website. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

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