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 fractions by a whole number
Free fraction lesson plan from HomeschoolMath.net
Dividing by a whole number can be thought of as dividing something between a
certain number of people. The pictures show how much pie is left.
Leftovers are divided equally. How much does each one get? Write a
division sentence.
Divide between two people:
1
2
÷ 2 =
Divide between two people:
1
3
÷ 2 =
Divide between two people:
1
5
÷ 2 =
Divide between three people:
Divide between five people:
Divide between two people:
What kind of
patterns and things can you notice?
Based on your observations, try the
following problems:.
a.
1
6
÷ 2 =
b.
1
10
÷ 2 =
c.
1
10
÷ 3 =
d.
1
6
÷ 3 =
e.
1
7
÷ 3 =
Dividing a number by 2 is the same as finding
1
2
of the number.
Dividing a number by 3 is the same as finding
1
3
of the number.
Dividing a number by 4 is the same as finding
1
4
of the number.
Complete the number sentences and compare:
18 ÷ 2 =
1
2
× 18 =
18 ×
1
2
=
12 ÷ 3 =
1
3
× 12 =
12 ×
1
3
=
20 ÷ 4 =
1
4
× 20 =
20 ×
1
4
=
15 ÷ 5 =
1
5
× 15 =
15 ×
1
5
=
This same idea works even when the number is a fraction!
Complete the number sentences and compare:
1
2
÷ 6 =
1
6
×
1
2
=
1
2
×
1
6
=
1
5
÷ 4 =
1
4
×
1
5
=
1
5
×
1
4
=
2
7
÷ 2 =
1
2
×
2
7
=
2
7
×
1
2
=
3
4
÷ 3 =
1
3
×
3
4
=
3
4
×
1
3
=
2 and
1
2
are reciprocal numbers. Similarly
3 and
1
3
are reciprocal numbers.
So instead of dividing by a whole number, multiply by its
reciprocal number!
Example problem types
1.
Color each person's share
with a different color, and write a division sentence.
a.
4
5
of a pie is divided between two people.
4
5
÷ 2 =
b.
3
5
is divided between three people.
2. Write the division problems as multiplication problems by using the
reciprocal number of the divisor, and
solve.
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.
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P.S. ....
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