GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
3/4+7/2/5/4
[#permalink]
09 Mar 2023, 10:34
09 Mar 2023, 10:34
Expert Reply
00:00
Question Stats:
99% (00:28) correct
0% (00:00) wrong based on 7 sessions
Hide Show timer Statistics
\(\dfrac{\dfrac{3}{4}+\dfrac{7}{2}}{\dfrac{5}{4}}=\)
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: 1053
GPA: 3.39
Re: 3/4+7/2/5/4
[#permalink]
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
Moderators:
