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3*4/7+1/2/3/2/3-4/7
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08 Mar 2023, 04:41
08 Mar 2023, 04:41
Expert Reply
00:00
Question Stats:
30% (01:32) correct
70% (01:56) wrong based on 10 sessions
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\(\frac{3*\frac{4}{7}+1* \frac{2}{3}}{\frac{2}{3}-\frac{4}{7}}=\)
1
15
16
30
55
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE ARITHMETIC
_________________
1
15
16
30
55
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE ARITHMETIC
_________________
Re: 3*4/7+1/2/3/2/3-4/7
[#permalink]
04 Apr 2023, 00:06
04 Apr 2023, 00:06
2
Expert Reply
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Bookmarks
First, we simplify the expression within the brackets:
3*(4/7) + 1*(2/3) = 12/7 + 2/3
Next, we find a common denominator to add the fractions:
12/7 + 2/3 = 108/63 + 42/63 = 150/63
Now we substitute this value back into the original expression:
[3*(4/7) + 1*(2/3)] / [2/3 - 4/7] = (150/63) / (2/3 - 4/7)
We simplify the denominator by finding a common denominator:
2/3 - 4/7 = (14/21) - (12/21) = 2/21
Substituting this value gives:
(150/63) / (2/21) = (150/63) * (21/2) = 55
Therefore, the expression simplifies to 55.
Answer: E
3*(4/7) + 1*(2/3) = 12/7 + 2/3
Next, we find a common denominator to add the fractions:
12/7 + 2/3 = 108/63 + 42/63 = 150/63
Now we substitute this value back into the original expression:
[3*(4/7) + 1*(2/3)] / [2/3 - 4/7] = (150/63) / (2/3 - 4/7)
We simplify the denominator by finding a common denominator:
2/3 - 4/7 = (14/21) - (12/21) = 2/21
Substituting this value gives:
(150/63) / (2/21) = (150/63) * (21/2) = 55
Therefore, the expression simplifies to 55.
Answer: E
Re: 3*4/7+1/2/3/2/3-4/7
[#permalink]
27 Aug 2023, 09:22
27 Aug 2023, 09:22
Expert Reply
gmatclubot
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