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Let’s check out your problem:
Estimate. Which sign makes the statement true?
\newline
3
?
2
3
×
8
3 \, ? \, \frac{2}{3} \times 8
3
?
3
2
×
8
\newline
Choices:
\newline
(A) >
\newline
(B) <
\newline
(C)
=
=
=
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Math Problems
Grade 6
Estimate quotients when dividing mixed numbers
Full solution
Q.
Estimate. Which sign makes the statement true?
\newline
3
?
2
3
×
8
3 \, ? \, \frac{2}{3} \times 8
3
?
3
2
×
8
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Calculate multiplication result:
Calculate
2
3
\frac{2}{3}
3
2
multiplied by
8
8
8
.
\newline
2
3
×
8
=
16
3
\frac{2}{3} \times 8 = \frac{16}{3}
3
2
×
8
=
3
16
.
Compare
fractions
:
Compare
3
3
3
with
16
3
\frac{16}{3}
3
16
.
\newline
Convert
3
3
3
to a
fraction
:
3
=
9
3
3 = \frac{9}{3}
3
=
3
9
.
\newline
Now compare
9
3
\frac{9}{3}
3
9
with
16
3
\frac{16}{3}
3
16
.
Determine inequality sign:
Determine the correct inequality sign. Since
9
3
\frac{9}{3}
3
9
(which is
3
3
3
) is less than
16
3
\frac{16}{3}
3
16
, the correct sign is <.
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