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Let’s check out your problem:
Which is the most accurate way to estimate
67
%
67\%
67%
of
41
41
41
?
\newline
Choices:
\newline
(A)
2
3
×
43
\frac{2}{3} \times 43
3
2
×
43
\newline
(B)
1
3
×
42
\frac{1}{3} \times 42
3
1
×
42
\newline
(C)
1
3
×
43
\frac{1}{3} \times 43
3
1
×
43
\newline
(D)
2
3
×
42
\frac{2}{3} \times 42
3
2
×
42
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Home
Math Problems
Grade 6
Estimate percents of numbers
Full solution
Q.
Which is the most accurate way to estimate
67
%
67\%
67%
of
41
41
41
?
\newline
Choices:
\newline
(A)
2
3
×
43
\frac{2}{3} \times 43
3
2
×
43
\newline
(B)
1
3
×
42
\frac{1}{3} \times 42
3
1
×
42
\newline
(C)
1
3
×
43
\frac{1}{3} \times 43
3
1
×
43
\newline
(D)
2
3
×
42
\frac{2}{3} \times 42
3
2
×
42
Convert to Fraction:
Step
1
1
1
: Convert
67
%
67\%
67%
to a
fraction
for easier calculation.
\newline
67
%
67\%
67%
is approximately equal to
2
3
\frac{2}{3}
3
2
.
Multiply by
41
41
41
:
Step
2
2
2
: Multiply the fraction by
41
41
41
to estimate
67
67
67
% of
41
41
41
.
\newline
2
3
×
41
=
27.33
\frac{2}{3} \times 41 = 27.33
3
2
×
41
=
27.33
Compare with Choices:
Step
3
3
3
: Compare the result with the choices provided.
\newline
(A)
2
3
×
43
=
28.67
\frac{2}{3} \times 43 = 28.67
3
2
×
43
=
28.67
\newline
(B)
1
3
×
42
=
14
\frac{1}{3} \times 42 = 14
3
1
×
42
=
14
\newline
(C)
1
3
×
43
=
14.33
\frac{1}{3} \times 43 = 14.33
3
1
×
43
=
14.33
\newline
(D)
2
3
×
42
=
28
\frac{2}{3} \times 42 = 28
3
2
×
42
=
28
Identify Closest Choice:
Step
4
4
4
: Identify which choice is closest to our calculation of
27.33
27.33
27.33
. Choice (A)
2
3
×
43
=
28.67
\frac{2}{3} \times 43 = 28.67
3
2
×
43
=
28.67
is closest to
27.33
27.33
27.33
.
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