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.

How to convert a fraction into a mixed number
- and fraction/division connection
Free lesson plan from HomeschoolMath.net

1.This picture illustrates the division 6 ÷ 3 = 2.  a) Draw a picture that illustrates 12 ÷ 4 = 3. b) Draw a picture that illustrates 9 ÷ 3 = 3. c) Draw a picture that illustrates 15 ÷ 3 = 5.

2.a  Draw a picture to illustrate 1 ÷ 3 = ??  In other words, you have one whole pie.  You want to divide that pie equally between 3 people.  How much pie does each one get to eat?   Think!

b.  Draw a picture to illustrate 1 ÷ 4. You have _ pie, and __ people.  How much pie does each one get?

c.  Draw a picture to illustrate 1 ÷ 5. You have _ pie, and __ people.  How much pie does each one get?

3. a.  Draw a picture to illustrate 2 ÷ 5.  You have __ pies, and __ people.  How much pie for each?

b.  Draw a picture to illustrate 3 ÷ 5.  You have __ pies, and __ people.  How much pie for each?

e.  Draw a picture to illustrate 4 ÷ 3.  How much pie does each one get to eat?

 
4. If you have 25 apples and four people, you can write a division problem 25 ÷ 4.  Everyone gets 6 apples and 1 is left over.  25 ÷ 4 = 6 R1.  What if you take your knife and ALSO divide the remainder apple between those four people?

5.  In these division problems you will have a remainder.  Use the knife and divide the remainder too!

7 3 can mean two things: a fraction (seven thirds) OR a division problem 7 ÷ 3 In other words, division can also be written using the fraction line.  Think this way: The answer to the problem  7 ÷ 3  is seven thirds - which is two wholes and one third. 7 ÷ 3 = 2 R 1 To be exact: 7 ÷ 3 = 7 3 = 2 1 3       If we divide seven pies between three people, everybody gets two whole pies, and one pie is left over.  But if we divide even the one leftover pie between those three people, everybody would get one third out of that pie, plus those two whole pies.

 
6.  Write the fractions as mixed numbers or whole numbers.  You can always draw pictures too!

7.  Solve the division problems. Write the answer as a whole number or as a mixed number.

*8.  What division problems are the pictures illustrating?

5 ÷ 2 = 5 2 = 2 1 2

___ ÷ __ =     =

Next lesson: adding like fractions

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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