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3/1-1/3+1/7
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09 Mar 2023, 10:21
09 Mar 2023, 10:21
Expert Reply
00:00
Question Stats:
82% (00:48) correct
17% (01:58) wrong based on 17 sessions
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\(\dfrac{3}{1-\dfrac{1}{3+\frac{1}{7}}}\)
11/5
12/5
22/5
22/3
66/5
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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11/5
12/5
22/5
22/3
66/5
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
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Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
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Re: 3/1-1/3+1/7
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04 Apr 2023, 00:12
04 Apr 2023, 00:12
1
Expert Reply
To solve this expression, we can follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, we need to simplify the expression within the curly brackets:
3 + (1/7) = (21/7) + (1/7) = 22/7
Next, we can substitute this value back into the original expression:
3 / [1 - {1 / (3 + (1/7))}] = 3 / [1 - {1 / (22/7)}]
Now we simplify the expression within the curly brackets:
1 / (22/7) = 7/22
Substituting this value back into the expression gives:
3 / [1 - (7/22)] = 3 / (15/22)
To divide by a fraction, we invert and multiply:
3 / (15/22) = 3 * (22/15) = 22/5
Therefore, the expression simplifies to 22/5.
Answer: C
First, we need to simplify the expression within the curly brackets:
3 + (1/7) = (21/7) + (1/7) = 22/7
Next, we can substitute this value back into the original expression:
3 / [1 - {1 / (3 + (1/7))}] = 3 / [1 - {1 / (22/7)}]
Now we simplify the expression within the curly brackets:
1 / (22/7) = 7/22
Substituting this value back into the expression gives:
3 / [1 - (7/22)] = 3 / (15/22)
To divide by a fraction, we invert and multiply:
3 / (15/22) = 3 * (22/15) = 22/5
Therefore, the expression simplifies to 22/5.
Answer: C
gmatclubot
Re: 3/1-1/3+1/7 [#permalink]
04 Apr 2023, 00:12
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