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What smallest fraction should be added to
3x2/3+6x7/12+4x1/4+5+7x1/12 to make
the sum a whole number?
a) 5/12
b) 1/5
c) 7/12
d) 2/5?
3x2/3+6x7/12+4x1/4+5+7x1/12 to make
the sum a whole number?
a) 5/12
b) 1/5
c) 7/12
d) 2/5?
Most Upvoted Answer
What smallest fraction should be added to3x2/3+6x7/12+4x1/4+5+7x1/12 t...
1.
Analysis:
To find the smallest fraction that should be added to the given sum to make it a whole number, we need to first calculate the sum of the fractions and the whole numbers.
Given expression: 3x2/3 + 6x7/12 + 4x1/4 + 5 + 7x1/12
2.
Calculations:
- 3x2/3 = 2
- 6x7/12 = 3.5
- 4x1/4 = 1
- 7x1/12 = 0.58
Sum of fractions = 2 + 3.5 + 1 + 0.58 = 7.08
3.
Finding the smallest fraction:
To make the sum a whole number, we need to find the smallest fraction that can be added. In this case, we need to find a fraction that when added to 7.08, results in a whole number.
Possible fractions to add:
- 5/12
- 1/5
- 7/12
- 2/5
4.
Testing fractions:
- Adding 5/12 to 7.08 gives 7.58
- Adding 1/5 to 7.08 gives 7.28
- Adding 7/12 to 7.08 gives 7.75
- Adding 2/5 to 7.08 gives 7.48
5.
Conclusion:
The smallest fraction that should be added to the given sum to make it a whole number is 5/12. Adding 5/12 to 7.08 results in 7.58, which is the closest whole number. Therefore, the correct answer is option a) 5/12.
Analysis:
To find the smallest fraction that should be added to the given sum to make it a whole number, we need to first calculate the sum of the fractions and the whole numbers.
Given expression: 3x2/3 + 6x7/12 + 4x1/4 + 5 + 7x1/12
2.
Calculations:
- 3x2/3 = 2
- 6x7/12 = 3.5
- 4x1/4 = 1
- 7x1/12 = 0.58
Sum of fractions = 2 + 3.5 + 1 + 0.58 = 7.08
3.
Finding the smallest fraction:
To make the sum a whole number, we need to find the smallest fraction that can be added. In this case, we need to find a fraction that when added to 7.08, results in a whole number.
Possible fractions to add:
- 5/12
- 1/5
- 7/12
- 2/5
4.
Testing fractions:
- Adding 5/12 to 7.08 gives 7.58
- Adding 1/5 to 7.08 gives 7.28
- Adding 7/12 to 7.08 gives 7.75
- Adding 2/5 to 7.08 gives 7.48
5.
Conclusion:
The smallest fraction that should be added to the given sum to make it a whole number is 5/12. Adding 5/12 to 7.08 results in 7.58, which is the closest whole number. Therefore, the correct answer is option a) 5/12.
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What smallest fraction should be added to3x2/3+6x7/12+4x1/4+5+7x1/12 to makethe sum a whole number?a) 5/12b) 1/5 c) 7/12d) 2/5?
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What smallest fraction should be added to3x2/3+6x7/12+4x1/4+5+7x1/12 to makethe sum a whole number?a) 5/12b) 1/5 c) 7/12d) 2/5? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What smallest fraction should be added to3x2/3+6x7/12+4x1/4+5+7x1/12 to makethe sum a whole number?a) 5/12b) 1/5 c) 7/12d) 2/5? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What smallest fraction should be added to3x2/3+6x7/12+4x1/4+5+7x1/12 to makethe sum a whole number?a) 5/12b) 1/5 c) 7/12d) 2/5?.
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