Simplify Complex Fractional Expressions Worksheet With Answers - Regents Exam Questions A2.a.17

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Regents Exam Questions A2.A.17: Complex Fractions 1
Name: ________________________
A2.A.17: Complex Fractions 1: Simplify complex fractional expressions
a  1
1
3
a
x
y
1 The expression
is equivalent to
4 The expression
is equivalent to
 1
2
2
a
2
xy
a
3
a
1)
1)
a  1
2
3x  y
a  1
2)
2)
2xy
a
a
3xy
3)
3)
a  1
2
a  1
3x  y
4)
4)
a
2
3x
1
1
x  3
3
3x
2 The expression
is equivalent to
5 The expression
is equivalent to
x
1
1
2
 9
x
3
x
3x  9
1)
x  1
2x  6
1)
2)
x  3
3x
3)
2)
2
3
3x  3
4)
x  3
3)
x  3
1
3 In a science experiment, when resistor A and
4)
3
resistor B are connected in a parallel circuit, the
1
total resistance is
. This complex fraction is
1
x
1
1
4
x
A
B
6 Written in simplest form, the expression
is
1
1
equivalent to
2x
4
1)
1
equivalent to
AB
2)
x  1
1)
A  B
x  2
2)
A  B
3)
x  2
4)
AB
3)
2
2
 4
x
4)
x  2
1

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