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Which of the following is equal to 3/8+(3/4-1/3)/2/5
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20 Dec 2022, 08:02
20 Dec 2022, 08:02
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Question Stats:
65% (01:25) correct
34% (01:22) wrong based on 29 sessions
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Which of the following is equal to \(\frac{\frac{\frac{3}{8}}{(\frac{3}{4}-\frac{1}{3})}}{\frac{2}{5}}\)?
(A) 2.25
(B) 1.25
(C) \(1.60 \overline{714285}\)
(D) 0.390625
(E) 0.078125
(A) 2.25
(B) 1.25
(C) \(1.60 \overline{714285}\)
(D) 0.390625
(E) 0.078125
Which of the following is equal to 3/8+(3/4-1/3)/2/5
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22 Dec 2022, 06:48
22 Dec 2022, 06:48
1
Expert Reply
Solve first the denominator of the upper fraction
\(\frac{3}{4}-\frac{1}{3}=\frac{9-4}{12}=\frac{5}{12}\)
\(\frac{3}{8}*\frac{12}{5}=\frac{3}{4}*\frac{6}{5}=\frac{18}{20}=\frac{9}{10
}\)
\(\frac{9}{10}*\frac{5}{2}=\frac{9}{2}*\frac{1}{2}=\frac{9}{4}=2.25\)
A is the answer
\(\frac{3}{4}-\frac{1}{3}=\frac{9-4}{12}=\frac{5}{12}\)
\(\frac{3}{8}*\frac{12}{5}=\frac{3}{4}*\frac{6}{5}=\frac{18}{20}=\frac{9}{10
}\)
\(\frac{9}{10}*\frac{5}{2}=\frac{9}{2}*\frac{1}{2}=\frac{9}{4}=2.25\)
A is the answer
Which of the following is equal to 3/8+(3/4-1/3)/2/5
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27 Jan 2024, 20:09
27 Jan 2024, 20:09
1
We can rewrite this as
\(\frac{3}{8}\) divided by (\(\frac{3}{4}\) -\(\frac{1}{3}\)) divided by \(\frac{2}{5}\)
simplifying the middle term by evaluating the subtraction
\((\frac{3}{4} - \frac{1}{3}) = \frac{9-4}{12} = \frac{5}{12}\)
Thus, the division can be rewritten as
\(\frac{3}{8}\) divided by \(\frac{5}{12}\) divided by \(\frac{2}{5}\)
As per PEMDAS or BODMAS, we move from left to right and perform the division.
We can divide the first term by the subsequent terms or
we can also multiply the first term with the reciprocal of the subsequent terms turning
\(\frac{3}{8}\) divided by \(\frac{5}{12}\) divided by \(\frac{2}{5}\) into
\(\frac{3}{8} \times \frac{12}{5} \times \frac{5}{2}\)
\(= \frac{9}{4} = 2.25\)
The correct answer is Choice A
\(\frac{3}{8}\) divided by (\(\frac{3}{4}\) -\(\frac{1}{3}\)) divided by \(\frac{2}{5}\)
simplifying the middle term by evaluating the subtraction
\((\frac{3}{4} - \frac{1}{3}) = \frac{9-4}{12} = \frac{5}{12}\)
Thus, the division can be rewritten as
\(\frac{3}{8}\) divided by \(\frac{5}{12}\) divided by \(\frac{2}{5}\)
As per PEMDAS or BODMAS, we move from left to right and perform the division.
We can divide the first term by the subsequent terms or
we can also multiply the first term with the reciprocal of the subsequent terms turning
\(\frac{3}{8}\) divided by \(\frac{5}{12}\) divided by \(\frac{2}{5}\) into
\(\frac{3}{8} \times \frac{12}{5} \times \frac{5}{2}\)
\(= \frac{9}{4} = 2.25\)
The correct answer is Choice A
