Equivalent Fractions: Simplifying And Building With Answers Page 4
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162
5
ab
Solution
a.
Using the fractions
,
, and
as forms of 1 (yours will probably be
2
5
ab
different):
5
2
10
=
•
8
2
16
5
5
25
=
•
8
5
40
5
ab
5ab
=
•
8
ab
8ab
10
25
5ab
Three equivalent fractions are
,
, and
.
16
40
8ab
2
x
y
9
100
b.
Using the fractions
,
, and
as forms of 1 (yours will probably be
2
9
100
x
y
different):
7
9
63
!
= !
•
12
9
108
7
100
700
!
= !
•
12
100
1200
2
2
7
x
y
7x
y
!
= !
•
2
2
12
x
y
12x
y
2
63
700
7x
y
Three equivalent fractions are !
, !
, and !
.
2
108
1200
12x
y
xy
8
15
c.
Using the fractions
,
, and
as forms of 1 (again yours will
8
15
xy
probably be different):
2x
8
16x
=
•
5
8
40
2x
15
30x
=
•
5
15
75
2
2x
xy
2x
y
=
•
5
xy
5xy
2
2x
y
16x
30x
Three equivalent fractions are
,
, and
. Note how we
40
75
5xy
multiplied the numbers, and how the exponent was used to represent x • x in
the third fraction.
148
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