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Let’s check out your problem:
Which of the following numbers are less than
9
4
\frac{9}{4}
4
9
?
\newline
Choose all answers that apply:
\newline
(A)
11
4
\frac{11}{4}
4
11
\newline
(B)
15
8
\frac{15}{8}
8
15
\newline
(C)
2
2
2
.
201
201
201
View step-by-step help
Home
Math Problems
Algebra 1
Does x satisfy the equation?
Full solution
Q.
Which of the following numbers are less than
9
4
\frac{9}{4}
4
9
?
\newline
Choose all answers that apply:
\newline
(A)
11
4
\frac{11}{4}
4
11
\newline
(B)
15
8
\frac{15}{8}
8
15
\newline
(C)
2
2
2
.
201
201
201
Convert to decimal:
Convert the
fraction
(
9
)
/
(
4
)
(9)/(4)
(
9
)
/
(
4
)
to a decimal to make comparisons easier.
\newline
Calculation:
(
9
)
/
(
4
)
=
2.25
(9)/(4) = 2.25
(
9
)
/
(
4
)
=
2.25
Compare option A:
Compare option A
(
11
)
/
(
4
)
(11)/(4)
(
11
)
/
(
4
)
to
(
9
)
/
(
4
)
(9)/(4)
(
9
)
/
(
4
)
.
\newline
Calculation:
(
11
)
/
(
4
)
=
2.75
(11)/(4) = 2.75
(
11
)
/
(
4
)
=
2.75
\newline
Since
2.75
2.75
2.75
is greater than
2.25
2.25
2.25
,
(
11
)
/
(
4
)
(11)/(4)
(
11
)
/
(
4
)
is not less than
(
9
)
/
(
4
)
(9)/(4)
(
9
)
/
(
4
)
.
Compare option B:
Compare option B
(
15
)
/
(
8
)
(15)/(8)
(
15
)
/
(
8
)
to
(
9
)
/
(
4
)
(9)/(4)
(
9
)
/
(
4
)
.
\newline
Calculation:
(
15
)
/
(
8
)
=
1.875
(15)/(8) = 1.875
(
15
)
/
(
8
)
=
1.875
\newline
Since
1.875
1.875
1.875
is less than
2.25
2.25
2.25
,
(
15
)
/
(
8
)
(15)/(8)
(
15
)
/
(
8
)
is less than
(
9
)
/
(
4
)
(9)/(4)
(
9
)
/
(
4
)
.
Compare option C:
Compare option
C
C
C
2.201
2.201
2.201
to
(
9
)
/
(
4
)
(9)/(4)
(
9
)
/
(
4
)
.
\newline
Since
2.201
2.201
2.201
is less than
2.25
2.25
2.25
,
2.201
2.201
2.201
is less than
(
9
)
/
(
4
)
(9)/(4)
(
9
)
/
(
4
)
.
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\newline
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