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Let’s check out your problem:
Which sign makes the statement true?
\newline
78
%
78\%
78%
?
\text{?}
?
2
5
\frac{2}{5}
5
2
\newline
Choices:
\newline
(A)>
\newline
(B)<
\newline
(C)
=
=
=
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Math Problems
Grade 6
Percents of numbers: fractional and decimal percents
Full solution
Q.
Which sign makes the statement true?
\newline
78
%
78\%
78%
?
\text{?}
?
2
5
\frac{2}{5}
5
2
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Convert to decimal:
Convert
78
%
78\%
78%
to a decimal for easier comparison.
\newline
Calculation:
78
%
=
0.78
78\% = 0.78
78%
=
0.78
Convert
fraction
to decimal:
Convert
2
5
\frac{2}{5}
5
2
to a decimal.
\newline
Calculation:
2
5
=
0.4
\frac{2}{5} = 0.4
5
2
=
0.4
Compare decimals:
Compare the two decimals to determine the correct sign.
\newline
Calculation:
0.78
?
0.4
0.78 \, ? \, 0.4
0.78
?
0.4
\newline
Since
0.78
0.78
0.78
is greater than
0.4
0.4
0.4
, the correct sign is '>'.
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\newline
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\newline
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