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What is the average of the two middle rational numbers if 4/7,1/3,2/5 and 5/9 are arranged in ascending order?
- a)80/90
- b)86/45
- c)43/45
- d)43/90
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the average of the two middlerational numbers if4/7,1/3,2/5and...
The ascending order of
The two middle numbers are 2/5 and 5/9
∴ Average
=
The two middle numbers are 2/5 and 5/9
∴ Average
=
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
What is the average of the two middlerational numbers if4/7,1/3,2/5and...
To find the average of the two middle rational numbers, we first need to arrange the given numbers in ascending order. Let's do that.
Given numbers:
4/7, 1/3, 2/5, and 5/9
Arranging them in ascending order:
1/3, 2/5, 4/7, 5/9
Now we need to find the two middle numbers. Since there are four numbers, the two middle numbers will be the second and third numbers in the arranged list, which are 2/5 and 4/7.
To find the average of these two numbers, we add them together and divide the sum by 2.
(2/5 + 4/7) / 2
To simplify the addition, we need to find a common denominator. The least common multiple (LCM) of 5 and 7 is 35.
(14/35 + 20/35) / 2
Now we can add the numerators.
34/35 / 2
Dividing by 2 is the same as multiplying by 1/2.
34/35 * 1/2
Multiplying the numerators and denominators together:
34 * 1 / 35 * 2
34/70
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
17/35
Therefore, the average of the two middle rational numbers is 17/35.
The correct answer is option 'D' - 43/90, which means there might be an error in the given solution.
Given numbers:
4/7, 1/3, 2/5, and 5/9
Arranging them in ascending order:
1/3, 2/5, 4/7, 5/9
Now we need to find the two middle numbers. Since there are four numbers, the two middle numbers will be the second and third numbers in the arranged list, which are 2/5 and 4/7.
To find the average of these two numbers, we add them together and divide the sum by 2.
(2/5 + 4/7) / 2
To simplify the addition, we need to find a common denominator. The least common multiple (LCM) of 5 and 7 is 35.
(14/35 + 20/35) / 2
Now we can add the numerators.
34/35 / 2
Dividing by 2 is the same as multiplying by 1/2.
34/35 * 1/2
Multiplying the numerators and denominators together:
34 * 1 / 35 * 2
34/70
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
17/35
Therefore, the average of the two middle rational numbers is 17/35.
The correct answer is option 'D' - 43/90, which means there might be an error in the given solution.
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What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer?
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What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer?.
What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer?.
Solutions for What is the average of the two middlerational numbers if4/7,1/3,2/5and 5/9are arranged in ascending order?a)80/90b)86/45c)43/45d)43/90Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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