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Name
Number and Operations — Fractions
4.NF.1
Lesson 3
Hands On: Model
Equivalent
Fractions
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3
1
Determine whether _ is equivalent to _ .
2
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6
One Way Use fraction tiles.
Model
_1 .
Model
_3 .
1
2
2
6
1
Line up three _ -fraction tiles
6
1
_
below the -fraction tile.
2
1
6
1
6
1
6
1
It takes three _ -tiles,
6
3
so the fraction is _ .
6
Since they are the same length,
the fractions are equivalent.
3
1
So, _ = _ .
2
6
Another Way Use number lines.
Divide the first number line into halves.
0
1
0
1
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Divide the second number line into sixths.
Count the number of sixths that are in one half.
3
1
The number lines show that _ and _ are at the same point.
2
6
So, they are equivalent fractions.
Lesson 3 My Homework503
Practice
Recognize whether the fractions are equivalent.
Write yes or no. Use fraction tiles or number lines.
3
6
1. _ and _
5
8
5
4
2. _ and _
5
6
6
2
3. _ and _
4
12
2
4
4. _ and _
3
6
8
4
5. _ and _
6
12
5
9
6. _ and _
6
10
Generate two equivalent fractions for each fraction.
Use fraction tiles or number lines.
8
8. _
12
1
7. _
3
3
9. _
4
Problem Solving
10.
3
1
Justify Conclusions Francie lives _
mile from
5
2
_
the school. Jake lives
mile from the school. Do they live the same
10
distance from the school? Explain.
Vocab
Draw a line to match the vocabulary term with its example.
6
3
_
11. numerator
•_
10 and 5
12. denominator
• the number 1 in _14
13. equivalent fractions
• the number 4 in _14
504Chapter 8 Fractions
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