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Math Problems
Algebra 2
Add and subtract rational expressions
Simplify. Express your answer as a single fraction in simplest form.
\newline
z
5
−
3
10
z
\frac{z}{5} - \frac{3}{10}z
5
z
−
10
3
z
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Simplify. Express your answer as a single fraction in simplest form.
\newline
p
q
2
−
p
4
\frac{pq}{2} - \frac{p}{4}
2
pq
−
4
p
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Simplify. Express your answer as a single fraction in simplest form.
\newline
1
9
x
y
3
+
2
9
y
5
\frac{1}{9xy^3} + \frac{2}{9y^5}
9
x
y
3
1
+
9
y
5
2
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
2
+
9
p
q
2
\frac{5}{2} + \frac{9pq}{2}
2
5
+
2
9
pq
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Simplify. Express your answer as a single fraction in simplest form.
\newline
d
2
−
4
5
d
\frac{d}{2} - \frac{4}{5}d
2
d
−
5
4
d
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
4
−
2
r
\frac{5}{4} - \frac{2}{r}
4
5
−
r
2
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Simplify. Express your answer as a single fraction in simplest form.
\newline
x
4
+
8
x
5
\frac{x}{4} + \frac{8x}{5}
4
x
+
5
8
x
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
v
w
+
v
w
4
\frac{2}{vw} + \frac{vw}{4}
v
w
2
+
4
v
w
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
r
3
+
2
r
\frac{2}{r^3} + \frac{2}{r}
r
3
2
+
r
2
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
7
q
5
−
4
q
2
r
\frac{2}{7q^5} - \frac{4}{q^2r}
7
q
5
2
−
q
2
r
4
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
y
z
+
2
y
z
\frac{2}{yz} + \frac{2}{yz}
yz
2
+
yz
2
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
4
+
q
4
r
4
\frac{2}{4} + \frac{q^4r}{4}
4
2
+
4
q
4
r
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
z
3
3
+
1
3
\frac{2z^3}{3} + \frac{1}{3}
3
2
z
3
+
3
1
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Simplify. Express your answer as a single fraction in simplest form.
\newline
9
q
5
+
3
q
r
2
\frac{9q}{5} + \frac{3qr}{2}
5
9
q
+
2
3
q
r
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
s
t
5
−
1
2
s
2
\frac{5}{st^5} - \frac{1}{2s^2}
s
t
5
5
−
2
s
2
1
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Simplify. Express your answer as a single fraction in simplest form.
\newline
9
b
2
−
5
b
c
\frac{9b}{2} - \frac{5}{bc}
2
9
b
−
b
c
5
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
4
−
7
q
4
\frac{2}{4} - \frac{7q}{4}
4
2
−
4
7
q
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Simplify. Express your answer as a single fraction in simplest form.
\newline
a
2
−
a
3
b
2
\frac{a}{2} - \frac{a^3b}{2}
2
a
−
2
a
3
b
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Simplify. Express your answer as a single fraction in simplest form.
\newline
w
8
x
5
+
1
8
x
5
\frac{w}{8x^5} + \frac{1}{8x^5}
8
x
5
w
+
8
x
5
1
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Simplify. Express your answer as a single fraction in simplest form.
\newline
1
5
u
−
3
7
t
u
\frac{1}{5u} - \frac{3}{7tu}
5
u
1
−
7
t
u
3
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Simplify. Express your answer as a single fraction in simplest form.
\newline
3
7
r
s
−
5
r
\frac{3}{7rs} - \frac{5}{r}
7
rs
3
−
r
5
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
3
−
s
3
\frac{2}{3} - \frac{s}{3}
3
2
−
3
s
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Simplify. Express your answer as a single fraction in simplest form.
\newline
q
5
r
5
−
4
5
r
5
\frac{q}{5r^5} - \frac{4}{5r^5}
5
r
5
q
−
5
r
5
4
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
4
−
p
3
q
2
\frac{5}{4} - \frac{p^3q}{2}
4
5
−
2
p
3
q
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
q
4
−
q
2
\frac{5q}{4} - \frac{q}{2}
4
5
q
−
2
q
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Simplify. Express your answer as a single fraction in simplest form.
\newline
1
4
+
2
w
2
\frac{1}{4} + \frac{2}{w^2}
4
1
+
w
2
2
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Simplify. Express your answer as a single fraction in simplest form.
\newline
b
c
4
−
4
b
5
\frac{bc}{4} - \frac{4b}{5}
4
b
c
−
5
4
b
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
t
2
+
u
3
2
\frac{5t}{2} + \frac{u^3}{2}
2
5
t
+
2
u
3
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Simplify. Express your answer as a single fraction in simplest form.
\newline
7
q
3
−
2
r
5
\frac{7q}{3} - \frac{2}{r^5}
3
7
q
−
r
5
2
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Simplify. Express your answer as a single fraction in simplest form.
\newline
4
t
u
4
+
3
u
\frac{4}{tu^4} + \frac{3}{u}
t
u
4
4
+
u
3
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Simplify. Express your answer as a single fraction in simplest form.
\newline
4
q
r
3
−
q
5
\frac{4qr}{3} - \frac{q}{5}
3
4
q
r
−
5
q
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
q
−
q
3
q
\frac{5}{q} - \frac{q^3}{q}
q
5
−
q
q
3
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Simplify. Express your answer as a single fraction in simplest form.
\newline
3
4
−
p
q
4
\frac{3}{4} - \frac{pq}{4}
4
3
−
4
pq
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Simplify. Express your answer as a single fraction in simplest form.
\newline
7
y
3
z
5
4
−
4
y
4
z
5
\frac{7y^3z^5}{4} - \frac{4y^4z}{5}
4
7
y
3
z
5
−
5
4
y
4
z
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Simplify. Express your answer as a single fraction in simplest form.
\newline
2
5
−
y
3
\frac{2}{5} - \frac{y}{3}
5
2
−
3
y
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Simplify. Express your answer as a single fraction in simplest form.
\newline
1
2
+
v
w
3
\frac{1}{2} + \frac{vw}{3}
2
1
+
3
v
w
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
v
w
v
2
w
−
3
v
2
w
\frac{5vw}{v^2w} - \frac{3}{v^2w}
v
2
w
5
v
w
−
v
2
w
3
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Simplify. Express your answer as a single fraction in simplest form.
\newline
1
+
9
b
4
2
1 + \frac{9b^4}{2}
1
+
2
9
b
4
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Simplify. Express your answer as a single fraction in simplest form.
\newline
6
u
5
+
6
u
\frac{6u}{5} + 6u
5
6
u
+
6
u
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Simplify. Express your answer as a single fraction in simplest form.
\newline
9
c
d
4
−
c
\frac{9cd}{4} - c
4
9
c
d
−
c
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
7
x
y
2
\frac{5}{7xy^{2}}
7
x
y
2
5
−
-
−
9
9
9
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Simplify. Express your answer as a single fraction in simplest form.
\newline
1
10
x
y
+
4
10
x
y
\frac{1}{10xy} + \frac{4}{10xy}
10
x
y
1
+
10
x
y
4
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Simplify
4
a
b
2
15
÷
10
a
3
b
\frac{4 a b^{2}}{15} \div \frac{10 a}{3 b}
15
4
a
b
2
÷
3
b
10
a
.
\newline
Give your answer as a single fraction in its simplest form
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
2
x
+
3
4
\frac{1}{2 x}+\frac{3}{4}
2
x
1
+
4
3
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
x
y
3
−
x
y
\frac{1}{x y^{3}}-x y
x
y
3
1
−
x
y
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
2
−
1
x
\frac{1}{2}-\frac{1}{x}
2
1
−
x
1
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
3
(
−
3
r
−
r
+
5
)
−
1
3
r
3(-3 r-r+5)-\frac{1}{3} r
3
(
−
3
r
−
r
+
5
)
−
3
1
r
\newline
Answer:
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
−
3
t
3
1
\frac{5 - \frac{3}{t^3}}{1}
1
5
−
t
3
3
\newline
______
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