Intervention
Lesson H16
Name
Equivalent Fractions
Materials crayons or markers
1
1. Show 2
by coloring 2 of the 1
strips.
3
3
1
3
strips as it takes
2. Color as many 1
6
to cover the same region as the 2
.
3
1
6
strips did you color? How many 1
6
1
3
1
6
1
6
1
3
1
6
1
6
1
6
□
3. So, 2
is equivalent to four 1
strips. 2
= 6 ​
3
3
6
. To do this,
You can use multiplication to find a fraction equivalent to 2
3
multiply the numerator and the denominator by the same number.
4. What number is the denominator of 2
multiplied by to get 6?
3
×2
□
2=
3
6
×2
5. Since the denominator was multiplied by 2, the numerator
must also be multiplied by 2. Put the product of 2 × 2 in
the numerator of the second fraction above.
Multiply the numerator and denominator of each fraction by
the same number to find a fraction equivalent to each.
6.
7.
×3
□
×4
□
2=
3
9
1=
2
8
×3
×4
9
1 strips.
8. Show 12
by coloring 9 of the 12
9. Color as many 1 strips as it takes
4
9
to cover the same region as 12
.
How many 1 strips did you color?
1
1
4
1 1 1 1
12 12 12 12
1
4
1 1 1
12 12 12
1
4
1 1 1
12 12 12
1
4
1 1
12 12
4
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
H16 (student p. 1)
MDIS 2.0
Intervention
Lesson H16
Name
Equivalent Fractions
(continued)
□
9
9
10. So, 12
is equivalent to three 1 strips. 12
=
​
4
4
9
​. To do this,
You can use division to find a fraction equivalent to 12
divide the numerator and the denominator by the same number.
,3
11. What number is the denominator of 9
divided by to get 4?
12
□
9
=
12
4
,3
12. Since the denominator was divided by 3, the numerator
must also be divided by 3. Put the quotient of 9 , 3 in
the numerator of the second fraction above.
Divide the numerator and denominator of each fraction by
the same number to find a fraction equivalent to each.
13.
,2
14.
□
8
= 5
10
,5
□
10
= 3
15
,5
,2
If the numerator and denominator cannot be divided by anything
else, then the fraction is in simplest form.
5
in simplest form?
15. Is 12
Find each equivalent fraction.
16. Is 6
in simplest form?
8
□
=
17. 1
5 15
□
8
18. 10
= 5
=
19. 2
8
□
7
20. 10
= 20
□
21. 6 = 7
14
□
8
22. 11
= 22
□
4
Write each fraction in simplest form.
23. 6
8
8
24. 12
7
25. 35
26. 16
24
27. Reasoning Explain why 4
is not in simplest form.
6
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
H16 (student p. 2)
MDIS 2.0