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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 middle rational numbers if4/7,1/3,2/5an...
The ascending order of 4/7,1/3, 2/5 and 5/9 is 1/3<2/5<5/9<4/7. The two middle numbers are 2/5 and 5/9.
∴ Average = 
= 43/90
= 43/90Most Upvoted Answer
What is the average of the two middle rational numbers if4/7,1/3,2/5an...
To find the average of the two middle rational numbers, we first need to arrange the given rational numbers in ascending order.
The given rational numbers are: 4/7, 1/3, 2/5, and 5/9.
Arranging these numbers in ascending order, we get:
1/3, 2/5, 4/7, 5/9
To find the middle two numbers, we need to determine the position of the median. Since there are four numbers, the median will be the average of the two middle numbers.
Calculation:
1/3 + 2/5 = 5/15 + 6/15 = 11/15
So, the average of the two middle rational numbers is 11/15.
But this is not one of the given options. Let's check if we made a mistake.
To verify our calculation, let's find the average of the two middle numbers using the formula:
Average = (First Middle Number + Second Middle Number) / 2
Calculating the average using this formula:
(2/5 + 4/7) / 2
To add the fractions, we need a common denominator. The common denominator of 5 and 7 is 35.
(14/35 + 20/35) / 2 = 34/35 / 2
To divide a fraction by 2, we multiply the numerator by 1 and the denominator by 2.
34/35 * 1/2 = 34/70 = 17/35
Therefore, the average of the two middle rational numbers is 17/35.
Since 17/35 is not one of the given options, there seems to be an error in the question or answer choices provided. Without any further information or clarification, it is not possible to determine the correct answer.
The given rational numbers are: 4/7, 1/3, 2/5, and 5/9.
Arranging these numbers in ascending order, we get:
1/3, 2/5, 4/7, 5/9
To find the middle two numbers, we need to determine the position of the median. Since there are four numbers, the median will be the average of the two middle numbers.
Calculation:
1/3 + 2/5 = 5/15 + 6/15 = 11/15
So, the average of the two middle rational numbers is 11/15.
But this is not one of the given options. Let's check if we made a mistake.
To verify our calculation, let's find the average of the two middle numbers using the formula:
Average = (First Middle Number + Second Middle Number) / 2
Calculating the average using this formula:
(2/5 + 4/7) / 2
To add the fractions, we need a common denominator. The common denominator of 5 and 7 is 35.
(14/35 + 20/35) / 2 = 34/35 / 2
To divide a fraction by 2, we multiply the numerator by 1 and the denominator by 2.
34/35 * 1/2 = 34/70 = 17/35
Therefore, the average of the two middle rational numbers is 17/35.
Since 17/35 is not one of the given options, there seems to be an error in the question or answer choices provided. Without any further information or clarification, it is not possible to determine the correct answer.
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What is the average of the two middle rational numbers if4/7,1/3,2/5and5/9are 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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