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Let’s check out your problem:
Estimate. Which sign makes the statement true?
\newline
6
?
1
5
×
9
2
7
6 \, ? \, \frac{1}{5} \times 9\frac{2}{7}
6
?
5
1
×
9
7
2
\newline
Choices:
\newline
(A) >
\newline
(B) <
\newline
(C)
=
=
=
View step-by-step help
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Math Problems
Grade 6
Estimate products of fractions and whole numbers
Full solution
Q.
Estimate. Which sign makes the statement true?
\newline
6
?
1
5
×
9
2
7
6 \, ? \, \frac{1}{5} \times 9\frac{2}{7}
6
?
5
1
×
9
7
2
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Convert to Improper Fraction:
Convert the mixed number
9
2
7
9 \frac{2}{7}
9
7
2
to an improper
fraction
.
\newline
9
2
7
=
(
9
×
7
+
2
)
/
7
=
65
7
9 \frac{2}{7} = (9 \times 7 + 2)/7 = \frac{65}{7}
9
7
2
=
(
9
×
7
+
2
)
/7
=
7
65
Calculate Product:
Calculate the product of
1
5
\frac{1}{5}
5
1
and
65
7
\frac{65}{7}
7
65
.
\newline
1
5
×
65
7
=
65
35
=
13
7
\frac{1}{5} \times \frac{65}{7} = \frac{65}{35} = \frac{13}{7}
5
1
×
7
65
=
35
65
=
7
13
Compare
Fractions
:
Compare
6
6
6
with
13
7
\frac{13}{7}
7
13
.
\newline
Convert
13
7
\frac{13}{7}
7
13
to a decimal for easier comparison.
\newline
13
7
≈
1.857
\frac{13}{7} \approx 1.857
7
13
≈
1.857
\newline
Now, compare
6
6
6
and
1.857
1.857
1.857
.
\newline
6 > 1.857
More problems from Estimate products of fractions and whole numbers
Question
On Sunday,
1
/
6
1/6
1/6
of the dogs seen in the park were on leashes. On Wednesday,
3
/
7
3/7
3/7
of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?
\newline
A)Sunday
\newline
B)Wednesday
\newline
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Question
Perry Repertory Theater Company sold out
1
10
\frac{1}{10}
10
1
of the performances it held. Hancock Shakespeare Company sold out
5
7
\frac{5}{7}
7
5
of the performances it put on. Which theater company sold out a greater fraction of its performances?
\newline
A)Perry Repertory Theater Company
\newline
B)Hancock Shakespeare Company
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Question
Yesterday,
3
5
\frac{3}{5}
5
3
of the flights at Logan County Airport were delayed. At Cass County Airport,
2
9
\frac{2}{9}
9
2
of the flights were delayed. Which airport had a higher fraction of delayed flights?
\newline
A)Logan County Airport
\newline
B)Cass County Airport
\newline
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Question
Last month, Baldwin finished
3
7
\frac{3}{7}
7
3
of his to-do list items, while Jason completed
7
9
\frac{7}{9}
9
7
of his to-do list items. Who finished a greater fraction of his to-do list last month?
\newline
A)Baldwin
\newline
B)Jason
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Posted 8 months ago
Question
What is the quotient of
3.515
×
1
0
8
3.515 \times 10^{8}
3.515
×
1
0
8
and
4.75
×
1
0
5
4.75 \times 10^{5}
4.75
×
1
0
5
expressed in scientific notation?
\newline
Answer:
□
×
1
0
□
\square \times 10^{\square}
□
×
1
0
□
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Posted 9 months ago
Question
What is the quotient of
1.501
×
1
0
7
1.501 \times 10^{7}
1.501
×
1
0
7
and
3.95
×
1
0
4
3.95 \times 10^{4}
3.95
×
1
0
4
expressed in scientific notation?
\newline
Answer:
□
×
1
0
□
\square \times 10^{\square}
□
×
1
0
□
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Posted 9 months ago
Question
What is the quotient of
6.096
×
1
0
9
6.096 \times 10^{9}
6.096
×
1
0
9
and
6.35
×
1
0
5
6.35 \times 10^{5}
6.35
×
1
0
5
expressed in scientific notation?
\newline
Answer:
□
×
1
0
□
\square \times 10^{\square}
□
×
1
0
□
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Posted 9 months ago
Question
Solve for
x
x
x
:
\newline
3
x
+
5
=
2
(
x
−
4
)
3x+5=2(x-4)
3
x
+
5
=
2
(
x
−
4
)
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Posted 8 months ago
Question
Solve for the variable.
\newline
x
+
12
=
14
x+12=14
x
+
12
=
14
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Posted 8 months ago
Question
As a fraction in simplest terms, what would you multiply the first number by to get the second?
\newline
First number:
6
6
6
Second number:
33
33
33
\newline
6
⋅
□
=
33
6 \cdot \square=33
6
⋅
□
=
33
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Posted 8 months ago
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