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3/4+7/2/5/4
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09 Mar 2023, 10:34
09 Mar 2023, 10:34
Expert Reply
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Question Stats:
100% (00:26) correct
0% (00:00) wrong based on 10 sessions
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\(\dfrac{\dfrac{3}{4}+\dfrac{7}{2}}{\dfrac{5}{4}}=\)
7/12
12/7
12/5
17/5
15/2
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
7/12
12/7
12/5
17/5
15/2
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
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: 3/4+7/2/5/4
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06 Apr 2023, 20:15
06 Apr 2023, 20:15
1
Expert Reply
To solve this equation, we'll follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Given equation:
[(¾) + (7/2)] / [5/4]
Step 1: Solve the fractions within the brackets
3/4 + 7/2
To add fractions, we need to find a common denominator. The least common multiple of 4 and 2 is 4.
3/4 + 7/2 = (3/4) + (7/2)(2/2) [Multiplying numerator and denominator of 7/2 by 2 to get a common denominator]
3/4 + 14/4 [Numerator multiplied by the same value, 2, to get a common denominator of 4]
Step 2: Combine like terms
3/4 + 14/4 = 17/4
So, the equation becomes:
17/4 / 5/4
Step 3: Divide the fractions
17/4 ÷ 5/4 = (17/4)(4/5) [Dividing by a fraction is the same as multiplying by its reciprocal]
17/4 * 4/5 = 17/5
So, the solution to the equation is 17/5.
Given equation:
[(¾) + (7/2)] / [5/4]
Step 1: Solve the fractions within the brackets
3/4 + 7/2
To add fractions, we need to find a common denominator. The least common multiple of 4 and 2 is 4.
3/4 + 7/2 = (3/4) + (7/2)(2/2) [Multiplying numerator and denominator of 7/2 by 2 to get a common denominator]
3/4 + 14/4 [Numerator multiplied by the same value, 2, to get a common denominator of 4]
Step 2: Combine like terms
3/4 + 14/4 = 17/4
So, the equation becomes:
17/4 / 5/4
Step 3: Divide the fractions
17/4 ÷ 5/4 = (17/4)(4/5) [Dividing by a fraction is the same as multiplying by its reciprocal]
17/4 * 4/5 = 17/5
So, the solution to the equation is 17/5.
gmatclubot
Re: 3/4+7/2/5/4 [#permalink]
06 Apr 2023, 20:15
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