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The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. 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
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1.This picture illustrates the division 6 ÷ 3 = 2. b) Draw a picture that illustrates 9 ÷ 3 = 3. c) Draw a picture that illustrates 15 ÷ 3 = 5. |
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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?
In other words, division can also be written using the fraction line. Think this way: The answer to the problem 1 ÷ 8 is one eighth. |
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!
| 13 ÷ 2 = | 9 ÷ 2 = |
16 ÷ 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.
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To convert a fraction into a mixed number, think of it as a DIVISION problem, and divide. For example,
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6. Write the fractions as mixed numbers or whole numbers. You can
always draw pictures too!
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7. Solve the division problems. Write the answer as a whole number or as a mixed number.
| 31 ÷ 2 =
13 ÷ 2 = 34 ÷ 3 = |
46 ÷ 7 =
67 ÷ 8 = 55 ÷ 8 = |
*8. What division problems are the pictures illustrating?
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Next lesson: adding like fractions
The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.
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