Name_________________________________________________________
2.1
Date __________
Multiplying Fractions
For use with Activity 2.1
Essential Question What does it mean to multiply fractions?
1
ACTIVITY: Multiplying Fractions
1
2
full. You drink of the water.
2
3
How much of the bottle of water do you drink?
Work with a partner. A bottle of water is
THINK ABOUT THE QUESTION: To help you think about this
question, rewrite the question.
Words: What is
2
1
of ?
3
2
Numbers:
2 1
×
= ?
3 2
1
2
Here is one way to get the answer.
0
1
• Draw a segment to represent a length of .
2
• Show how to divide
• Rewrite
1
into three equal parts.
2
1
as a fraction whose numerator is divisible by 3.
2
1
of the bottle of water, and you drank two of them. Written
6
2 1
as multiplication, you have ×
= _________________.
3 2
• Each part is
You drank _____________ of the bottle of water.
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Name _________________________________________________________ Date _________
2.1
2
Multiplying Fractions (continued)
ACTIVITY: Multiplying Fractions
3
4
of its width and of its
4
5
length. What fraction of the park is covered by the playground?
A park has a playground that is
Fold a piece of paper horizontally into fourths and shade three
3
of the fourths to represent .
4
4
Fold the paper vertically into fifths and shade of the paper
5
another color.
Count the total number of squares. This number is the denominator.
The numerator is the number of squares shaded with both colors.
3 4
×
= _____ = _____. So, _____ of the park is covered by the playground.
4 5
Inductive Reasoning
Work with a partner. Complete the table by using a model or folding paper.
Exercise
32
1
3.
2 1
×
3 2
2
4.
3 4
×
4 5
5.
2 5
×
3 6
6.
1 1
×
6 4
7.
2 1
×
5 2
8.
5 4
×
8 5
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Verbal Expression
Answer
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Name_________________________________________________________
2.1
Date __________
Multiplying Fractions (continued)
What Is Your Answer?
9. IN YOUR OWN WORDS What does it mean to multiply fractions?
10. STRUCTURE Write a general rule for multiplying fractions.
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Name _________________________________________________________ Date _________
2.1
Practice
For use after Lesson 2.1
Multiply. Write the answer in simplest form.
1.
1 5
×
6 8
2.
7
×3
9
4.
7
1
×2
8
3
5. 7 × 3
9
14
3.
8 3
×
9 5
6. 5
5
7
×2
9
10
2
5
of the seats on a tour bus. You are able to fill of the seats
5
8
you reserve. What fraction of the seats on the bus are you able to fill?
7. You reserve
8. A triangle has a base of 5
2
inches and a height of 3 inches. What is the
3
area of the triangle?
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