Write Fractions in Simplest Form

NS 1.5*1)
Explain ([SODLQZK\DIUDFWLRQDELVHTXLYDOHQWWRDIUDFWLRQQ[DQ[E
different interpretations of fractions, for example, parts
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E\XVLQJYLVXDOIUDFWLRQPRGHOVZLWKDWWHQWLRQWRKRZWKHQXPEHUDQGVL]HRIWKHSDUWV
of a whole, parts of a set, and division by whole numbers;
GLIIHUHYHQWKRXJKWKHWZRIUDFWLRQVWKHPVHOYHVDUHWKHVDPHVL]H8VHWKLVSULQFLSOHWR
explain equivalent of fractions (see Standards 4.0).
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UNDERLYING SKILLS AND CONCEPTS:
recognize number patterns; find
factors; properties of multiplication;
fractions equal to 1
Write Fractions in Simplest Form
a
K
ey Ide
When the numerator and denominator of a fraction can be divided
evenly only by the number 1, the fraction is in simplest form.
1
! is ! in simplest form.
So13
26
2
You can use division to write fractions in simplest form.
Divide the numerator and the denominator by the same factor
to find an equivalent fraction in a simpler form.
E x am p l E
1
! in simplest form.
Write 12
16
Think: What number divides evenly into both 12 and 16?
So you can divide each by 4 to find
a fraction in simpler form.
!
12
3#4
3#4
3
!
!
!
!
16 " 4 # 4 . Divide top and bottom by 4: 4 # 4 " 4
E x am p l E
2
! in simplest form.
Write 6
9
Think: What number divides
evenly into both 6 and 9?
!
6 and 9 are both multiples of 3.
}
}
So you can divide each by 3 to find
a fraction in simpler form.
6 of the marbles
9
2 of the marbles
3
6
2#3
2#3
2
!
!
!
!
9 " 3 # 3 . Divide top and bottom by 3: 3 # 3 " 3
page 172
Chapter 15 – Lesson 2
D – © CSL Associates, Inc. All rights reserved.
12 and 16 are both multiples of 4. 4 is a factor of 12 and 16.
Name
P RAC T I C E
Does the model show a fraction in simplest form? Answer Yes or No. Explain.
1.
2.
3.
No
No
4.
Yes
5.
6.
Yes
Yes
No
In the second square, draw the model that represents the equivalent fraction
in its simplest form.
D – © CSL Associates, Inc. All rights reserved.
7.
8.
Write the simplest form equivalent fraction.
9. 3
1
2
10. 2
8
1
4
6
11. 3
5
2
12. 1
10
13. 6
2
3
14. 5
1
8
15. 2
3
5
16. 1
5
17. 4
2
3
18. 6
3
4
4
19. 1
4
20. 27
9
10
6
9
6
Math
Reasoning
5
8
10
12
16
20
25
30
Number Sense
MR 2.2
5
21. Daniel says that 5 out of 30, or , of the days in April are Saturdays.
30
Erica says that she can express this fact more simply.
What fraction can Erica use to indicate what part of April
are Saturdays?
Chapter 15 – Lesson 2
1
6
page 173
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 116
Name
…at home!
P RAC T I C E
Does the model show a fraction in simplest form? Answer Yes or No. Explain.
1.
2.
3.
No
Yes
4.
No
5.
6.
Yes
No
Yes
In the second square, draw the model that represents the equivalent fraction
in its simplest form.
8.
Write the simplest form equivalent fraction.
9. 6
2
3
10. 2
6
1
3
6
11. 1
2
3
12. 1
10
13. 4
1
2
14. 4
1
4
15. 1
3
5
16. 1
4
17. 3
1
3
18. 4
2
3
8
19. 1
2
20. 15
1
2
9
8
9
Math
Reasoning
4
6
12
12
16
30
20
30
Number Sense
MR 2.2
4
21. Ryan says that 4 out of 30, or , of the days in June are Fridays.
30
Melanie says that she can express this fact more simply.
What fraction can Melanie use to indicate what part of June
are Fridays?
page 116
2
15
Home Resource and Homework
Chapter 15 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
7.
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:02 Page 319
Name
P RAC T I C E
Does the model show a fraction in simplest form? Answer Yes or No. Explain.
1.
2.
3.
No
No
4.
Yes
5.
6.
Yes
Yes
No
In the second square, draw the model that represents the equivalent fraction
in its simplest form.
D – © CSL Associates, Inc. All rights reserved.
7.
8.
Write the simplest form equivalent fraction.
9. 3
1
2
10. 2
8
1
4
6
11. 3
5
2
12. 1
10
13. 6
2
3
14. 5
1
8
15. 2
3
5
16. 1
5
17. 4
2
3
18. 6
3
4
4
19. 1
4
20. 27
9
10
6
9
6
Math
Reasoning
5
8
10
12
16
20
25
30
Number Sense
MR 2.2
5
21. Daniel says that 5 out of 30, or , of the days in April are Saturdays.
30
Erica says that she can express this fact more simply.
What fraction can Erica use to indicate what part of April
are Saturdays?
Chapter 15 – Lesson 2
1
6
Student Book Page
page 173
Name
…at home!
P RAC T I C E
Does the model show a fraction in simplest form? Answer Yes or No. Explain.
1.
2.
3.
No
Yes
4.
No
5.
6.
Yes
No
Yes
In the second square, draw the model that represents the equivalent fraction
in its simplest form.
8.
Write the simplest form equivalent fraction.
9. 6
2
3
10. 2
6
1
3
6
11. 1
2
3
12. 1
10
13. 4
1
2
14. 4
1
4
15. 1
3
5
16. 1
4
17. 3
1
3
18. 4
2
3
8
19. 1
2
20. 15
1
2
9
8
9
Math
Reasoning
4
6
12
12
16
30
20
30
Number Sense
MR 2.2
4
21. Ryan says that 4 out of 30, or , of the days in June are Fridays.
30
Melanie says that she can express this fact more simply.
What fraction can Melanie use to indicate what part of June
are Fridays?
page 116
2
15
Home Resource and Homework
Chapter 15 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
7.