NS 1.5*1)
Explain ([SODLQZK\DIUDFWLRQDELVHTXLYDOHQWWRDIUDFWLRQQ[DQ[E
different interpretations of fractions, for example, parts
&&66
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).
UHFRJQL]HDQGJHQHUDWHHTXLYDOHQWIUDFWLRQV
UNDERLYING SKILLS AND CONCEPTS:
recognize number patterns;
fractions equal to 1
Find Equivalent Fractions
a
K
ey Ide
2
3
4
5
6
#!#!#!#!#!#
Equivalent fractions show a pattern. 1
2
4
6
8
10
12
Notice that the numerator of each
# of the denominator.
fraction is 1
2
You can multiply the numerator and the denominator of each fraction by
any fractional equivalent of 1 to find an equivalent fraction.
1
2
2
#"#!#
2
2
4
1
3
3
#"#!#
2
3
6
1
4
4
#"#!#
2
4
8
Remember:
Multiplying any number by 1 does not change the value of the number.
When the numerator ! the denominator, the fraction is another name for 1.
1
E x am p l E
2
Which of the following fractions is
Which of the following fractions is
#?
NOT equivalent to 1
4
1
2
3
#
#
#
4
8
6
#?
NOT equivalent to 2
3
Test each fraction.
# of the denominator?
Is the numerator 1
4
# of 4
1 is 1
4
# of 8
2 is 1
4
3
1
# of 6. So # is NOT equivalent to #.
3 is 1
2
6
4
# of 16.
4 is 1
4
page 174
2
#
3
4
#
16
4
#
6
9
#
12
14
#
21
20
#
30
Test each fraction.
# by a fractional
Can you multiply 2
3
form for 1 to get each of the other
fractions?
2
#
3
2
#
3
2
#
3
2
#
3
4
#!#
"2
# is equivalent.
So 4
2
6
6
9
8
# ! # So # is NOT equivalent.
"4
4
12
12
14
14
# ! # So # is equivalent.
"7
7
21
21
20
20
# ! # So # is equivalent.
" 10
10
30
30
Chapter 15 – Lesson 3
D – © CSL Associates, Inc. All rights reserved.
E x am p l E
Name
P RAC T I C E
Color the second square to show a simpler equivalent fraction.
1.
2.
3.
4.
Circle the fraction that is equivalent to the first fraction in each group.
5. 3
6
1
3
1
6
6
12
6. 3
2
1
3
12
8
15
40
7
7. 10
1
7
10
7
14
20
8. 5
9
1
5
9
5
15
27
9. 7
7
1
7
7
1
8
8
6
10. 1
6
11
6
54
99
11. 2
1
3
6
2
6
18
12. 9
3
1
1
3
4
36
13. 3
1
3
33
22
60
44
D – © CSL Associates, Inc. All rights reserved.
6
3
11
2
Answer each question with Yes or No. Explain how you decided.
14. Can you make an equivalent fraction by adding 1
to the numerator and 1 to the denominator?
No
15. If you take 2 equivalent fractions and simplify both of them to
their simplest forms, do you get the same simplest form fraction?
Yes
Math
Reasoning
Number Sense
MR3.2
16. Franco says that the largest fraction he can think of that is equivalent
1,111,111
is .
to 1
9
9,999,999
Gerald says that he has a simple way to make an equivalent fraction
with even bigger numbers.
What can be Gerald’s way?
Multiply the numerator and the
denominator by any number greater than 1.
Chapter 15 – Lesson 3
page 175
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 118
Name
…at home!
P RAC T I C E
Color the second square to show a simpler equivalent fraction.
1.
2.
3.
4.
3
5. 1
3
1
6
6
12
6. 6
4
1
3
12
8
15
40
9
7. 10
1
7
10
7
18
20
8. 4
9
1
5
9
5
12
27
9. 7
1
7
7
1
5
5
5
10. 1
5
11
5
45
99
11. 2
1
3
4
10
6
18
12. 12
3
1
1
3
4
48
13. 8
1
3
88
33
60
44
18
5
7
4
11
3
Answer each question with Yes or No. Explain how you decided.
14. Can you make an equivalent fraction by adding 2
to the numerator and 2 to the denominator?
No
15. If you take 2 equivalent fractions and simplify both of them to
their simplest forms, do you get the same simplest form fraction?
Yes
Math
Reasoning
Number Sense
MR3.2
16. Pauline says that she knows an easy way to find lots of fractions equivalent
to two thirds.
What could her way be?
Multiply the numerator and the
denominator by any number greater than 1.
page 118
Home Resource and Homework
Chapter 15 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
Circle the fraction that is equivalent to the first fraction in each group.
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:02 Page 323
Name
P RAC T I C E
Color the second square to show a simpler equivalent fraction.
1.
2.
3.
4.
Circle the fraction that is equivalent to the first fraction in each group.
5. 3
6
1
3
1
6
6
12
6. 3
2
1
3
12
8
15
40
7
7. 10
1
7
10
7
14
20
8. 5
9
1
5
9
5
15
27
9. 7
7
1
7
7
1
8
8
6
10. 1
6
11
6
54
99
11. 2
1
3
6
2
6
18
12. 9
3
1
1
3
4
36
13. 3
1
3
33
22
60
44
D – © CSL Associates, Inc. All rights reserved.
6
3
11
2
Answer each question with Yes or No. Explain how you decided.
14. Can you make an equivalent fraction by adding 1
to the numerator and 1 to the denominator?
No
15. If you take 2 equivalent fractions and simplify both of them to
their simplest forms, do you get the same simplest form fraction?
Yes
Math
Reasoning
Number Sense
MR3.2
16. Franco says that the largest fraction he can think of that is equivalent
1,111,111
is .
to 1
9
9,999,999
Gerald says that he has a simple way to make an equivalent fraction
with even bigger numbers.
What can be Gerald’s way?
Multiply the numerator and the
denominator by any number greater than 1.
Chapter 15 – Lesson 3
Student Book Page
page 175
Name
…at home!
P RAC T I C E
Color the second square to show a simpler equivalent fraction.
1.
2.
3.
4.
3
5. 1
3
1
6
6
12
6. 6
4
1
3
12
8
15
40
9
7. 10
1
7
10
7
18
20
8. 4
9
1
5
9
5
12
27
9. 7
1
7
7
1
5
5
5
10. 1
5
11
5
45
99
11. 2
1
3
4
10
6
18
12. 12
3
1
1
3
4
48
13. 8
1
3
88
33
60
44
18
5
7
4
11
3
Answer each question with Yes or No. Explain how you decided.
14. Can you make an equivalent fraction by adding 2
to the numerator and 2 to the denominator?
No
15. If you take 2 equivalent fractions and simplify both of them to
their simplest forms, do you get the same simplest form fraction?
Yes
Math
Reasoning
Number Sense
MR3.2
16. Pauline says that she knows an easy way to find lots of fractions equivalent
to two thirds.
What could her way be?
Multiply the numerator and the
denominator by any number greater than 1.
page 118
Home Resource and Homework
Chapter 15 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
Circle the fraction that is equivalent to the first fraction in each group.