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Let’s check out your problem:
Complete the equation. Write the sum as a mixed number.
\newline
2
2
3
+
4
5
=
40
□
+
12
□
=
□
□
□
2 \frac{2}{3}+\frac{4}{5}=\frac{40}{\square}+\frac{12}{\square}=\square \frac{\square}{\square}
2
3
2
+
5
4
=
□
40
+
□
12
=
□
□
□
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Home
Math Problems
Algebra 1
Multiplication with rational exponents
Full solution
Q.
Complete the equation. Write the sum as a mixed number.
\newline
2
2
3
+
4
5
=
40
□
+
12
□
=
□
□
□
2 \frac{2}{3}+\frac{4}{5}=\frac{40}{\square}+\frac{12}{\square}=\square \frac{\square}{\square}
2
3
2
+
5
4
=
□
40
+
□
12
=
□
□
□
Convert to Improper Fraction:
Convert the mixed number to an improper
fraction
:
\newline
2
(
2
3
)
=
(
2
×
3
+
2
)
/
3
=
8
3
2\left(\frac{2}{3}\right) = \left(2\times 3 + 2\right)/3 = \frac{8}{3}
2
(
3
2
)
=
(
2
×
3
+
2
)
/3
=
3
8
Find Common Denominator:
Find a common denominator for
8
3
\frac{8}{3}
3
8
and
4
5
\frac{4}{5}
5
4
:
\newline
The least common denominator (LCD) of
3
3
3
and
5
5
5
is
15
15
15
.
Convert to Common Denominator:
Convert each fraction to have the common denominator:
\newline
8
3
=
(
8
×
5
)
(
3
×
5
)
=
40
15
\frac{8}{3} = \frac{(8\times5)}{(3\times5)} = \frac{40}{15}
3
8
=
(
3
×
5
)
(
8
×
5
)
=
15
40
\newline
4
5
=
(
4
×
3
)
(
5
×
3
)
=
12
15
\frac{4}{5} = \frac{(4\times3)}{(5\times3)} = \frac{12}{15}
5
4
=
(
5
×
3
)
(
4
×
3
)
=
15
12
Add Fractions:
Add the
fractions
:
\newline
40
15
+
12
15
=
40
+
12
15
=
52
15
\frac{40}{15} + \frac{12}{15} = \frac{40 + 12}{15} = \frac{52}{15}
15
40
+
15
12
=
15
40
+
12
=
15
52
Convert to Mixed Number:
Convert the improper fraction back to a mixed number:
52
15
=
3
\frac{52}{15} = 3
15
52
=
3
remainder
7
7
7
, so it's
3
(
7
15
)
3\left(\frac{7}{15}\right)
3
(
15
7
)
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or
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\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
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, where
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A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
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Question
Simplify.
\newline
1
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⋅
1
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\newline
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Simplify. Assume all variables are positive.
\newline
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w
2
5
w
2
3
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
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\newline
(
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\newline
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or
A
B
\frac{A}{B}
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, where
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A
and
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\newline
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\newline
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x
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\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
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, where
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A
A
and
B
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B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
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Posted 1 year ago
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