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Let’s check out your problem:
Divide.
\newline
Write your answer in simplest form.
\newline
−
5
7
÷
1
5
=
?
-\frac{5}{7} \div \frac{1}{5}=?
−
7
5
÷
5
1
=
?
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Math Problems
Algebra 2
Multiply and divide rational expressions
Full solution
Q.
Divide.
\newline
Write your answer in simplest form.
\newline
−
5
7
÷
1
5
=
?
-\frac{5}{7} \div \frac{1}{5}=?
−
7
5
÷
5
1
=
?
Multiply fractions by reciprocal:
To
divide
fractions
, multiply the first
fraction
by the reciprocal of the second fraction.
\newline
So, we have:
−
(
5
7
)
×
(
5
1
)
-(\frac{5}{7}) \times (\frac{5}{1})
−
(
7
5
)
×
(
1
5
)
.
Multiply numerators and denominators:
Now, multiply the numerators and the denominators.
\newline
Numerator:
−
5
×
5
=
−
25
-5 \times 5 = -25
−
5
×
5
=
−
25
.
\newline
Denominator:
7
×
1
=
7
7 \times 1 = 7
7
×
1
=
7
.
Simplify the fraction:
The fraction is now
−
25
7
-\frac{25}{7}
−
7
25
. This is the simplest form since
25
25
25
and
7
7
7
have no common
factors
other than
1
1
1
.
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\newline
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\newline
4
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Divide. Write the quotient in lowest terms.
\newline
2
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2
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2
3
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Divide. Write the quotient in lowest terms.
\newline
3
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Question
Divide. Write the quotient in lowest terms.
\newline
3
3
10
÷
1
4
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=
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3
10
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÷
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Question
Divide. Write the quotient in lowest terms.
\newline
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÷
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÷
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Question
d
d
x
[
8
x
2
+
2
x
−
3
]
=
?
\frac{d}{d x}\left[\sqrt{8 x^{2}+2 x-3}\right]=?
d
x
d
[
8
x
2
+
2
x
−
3
]
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
8
x
+
1
8
x
2
+
2
x
−
3
\frac{8 x+1}{\sqrt{8 x^{2}+2 x-3}}
8
x
2
+
2
x
−
3
8
x
+
1
\newline
(B)
8
x
+
1
x
\frac{8 x+1}{\sqrt{x}}
x
8
x
+
1
\newline
(c)
16
x
+
2
\sqrt{16 x+2}
16
x
+
2
\newline
(D)
1
2
16
x
+
2
\frac{1}{2 \sqrt{16 x+2}}
2
16
x
+
2
1
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