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The ideas in this fraction lesson are taken from the Fractions 2 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. Dividing mixed numbers
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RULE: Instead of dividing by a fraction, multiply by its reciprocal number. This rule works always, even when dividend or divisor or both are
mixed numbers. But since
Note: You don't need to change whole numbers into fractions. Error alert: First change mixed numbers into
fractions. After that comes the change to |
1. Divide. Do the work in your notebook.
a. 2 7
8
÷ 2
5
b. 4
÷ 1 5
6
c. 2 5
6
÷ 1 2
5
d. 10 1
10
÷ 3
4
e. 5 ÷ 2
7
2. What did the kids do wrong? In each case, a) explain the mistake made, and b) solve the problem the right way.
Jenny: I got that
1
8
÷ 2
5
= 2
40
= 1
20
Mark: My calculation gives
3
5
÷ 1 1
4
= 3
5
× 4
1
= 12
5
= 2 2
5
Ted: What did I do wrong?
1 1
10
÷ 2 1
4
= 11
10
× 4
9
= 44
90
= 22
45
May: I know how to divide fractions!
10 1
8
÷ 2 1
4
= 10 ÷ 2 + 1
8
÷ 1
4
= 5 1
2
3. Can you figure out the missing divisor? Remember to think "How many times does this go into this?" Also, think how you solve the first easy problems and apply the same ideas to the harder ones.
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4. Can you divide by half? Remember to think how many times half
goes into the dividend.
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RULE: Instead of dividing by a fraction, multiply by its reciprocal number. Why does the rule work?The following discussion is inteded mostly for the teacher and for the advanced student.
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The ideas in this fraction lesson are taken from the Fractions 2 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
 - Learn subtraction concept - fact families - memorize basic facts - word problems - colorful pages. - download & print. Self-teaching worktext. |
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