Home Link 5-1
Decomposing Fractions
NAME
DATE
TIME
Family Note In class today your child learned to decompose fractions into smaller parts.
5
3 1
1
1
1
1
1 2
4
For example, _6 can be decomposed into _6 + _6 + _6 + _6 + _6 , _6 + _6 , _6 + _6 , and so on.
Complete the name-collection boxes using equations.
1
11
_
Sample answers:
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125-127
_3
2
18
5
3
SRB
_1 + _1 + _1 + _1 + _1 + _1
5
5
5
5
5
5
1
1
1
1
1
+ _5 + _5 + _5 + _5 + _5
3
1 + _8
_5 + _5 + _1
5
5
5
_3 + _3 + _5
8
8
8
_5 + _6
5
5
_6 + _5
8
8
1
1 + 1 + _5
_4 + _2 + _5
8
8
8
_2 + _3 + _6
5
5
5
_8 + _1 + _2
8
8
8
Decompose _
in more than one way into a sum of fractions with the
12
same denominator.
8
Record each decomposition with an equation and justify it by shading
the circle. Sample answers:
a.
Equation:
8
4
4
__
__
__
12 + 12 = 12
b.
8
2
2
2
__
__
__
__
=
+
+
12
12
12
12
Equation:
2
+ __
12
Practice
4
9 ∗ 785 =
6
644 ∗ 4 =
7,065
2,576
4.NBT.5, 4.NF.3, 4.NF.3b, SMP1
5
7
3,227
1,950 = 39 ∗ 50
461 ∗ 7 =
191