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Let’s check out your problem:
How many groups of
9
5
\frac{9}{5}
5
9
are in
1
1
1
?
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Math Problems
Grade 7
Multiplicative inverses
Full solution
Q.
How many groups of
9
5
\frac{9}{5}
5
9
are in
1
1
1
?
Understand the problem:
Understand the problem.
\newline
We need to find how many times
9
5
\frac{9}{5}
5
9
fits into
1
1
1
. This is a division problem where
1
1
1
is divided by
9
5
\frac{9}{5}
5
9
.
Set up the division:
Set up the division.
\newline
1
÷
(
9
5
)
=
1
×
(
5
9
)
1 \div \left(\frac{9}{5}\right) = 1 \times \left(\frac{5}{9}\right)
1
÷
(
5
9
)
=
1
×
(
9
5
)
(since dividing by a
fraction
is the same as multiplying by its reciprocal).
Perform the multiplication:
Perform the multiplication.
\newline
1
×
(
5
9
)
=
5
9
1 \times \left(\frac{5}{9}\right) = \frac{5}{9}
1
×
(
9
5
)
=
9
5
.
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\newline
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\newline
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