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What number must be added to numerator and denominator of 2/7 to make fraction equal to 2/3 ?
- a)8
- b)5
- c)3
- d)1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What number must be added to numerator and denominator of 2/7to make f...
Let x be added to numerator and denominator of 2/7, so
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What number must be added to numerator and denominator of 2/7to make f...
To solve this problem, we need to find the number that needs to be added to both the numerator and denominator of the fraction 2/7 in order to make it equal to 2/3.
Let's assume that the number to be added is 'x'. So, the new fraction would be (2 + x)/(7 + x).
We want this new fraction to be equal to 2/3. Therefore, we can set up an equation:
(2 + x)/(7 + x) = 2/3
To solve this equation, we can cross-multiply:
3(2 + x) = 2(7 + x)
Simplifying this equation, we get:
6 + 3x = 14 + 2x
Now, we can solve for 'x' by isolating the variable:
3x - 2x = 14 - 6
x = 8
Therefore, the number that needs to be added to both the numerator and denominator of 2/7 to make it equal to 2/3 is 8.
Let's assume that the number to be added is 'x'. So, the new fraction would be (2 + x)/(7 + x).
We want this new fraction to be equal to 2/3. Therefore, we can set up an equation:
(2 + x)/(7 + x) = 2/3
To solve this equation, we can cross-multiply:
3(2 + x) = 2(7 + x)
Simplifying this equation, we get:
6 + 3x = 14 + 2x
Now, we can solve for 'x' by isolating the variable:
3x - 2x = 14 - 6
x = 8
Therefore, the number that needs to be added to both the numerator and denominator of 2/7 to make it equal to 2/3 is 8.
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What number must be added to numerator and denominator of 2/7to make fraction equal to 2/3 ?a)8b)5c)3d)1Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What number must be added to numerator and denominator of 2/7to make fraction equal to 2/3 ?a)8b)5c)3d)1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What number must be added to numerator and denominator of 2/7to make fraction equal to 2/3 ?a)8b)5c)3d)1Correct answer is option 'A'. Can you explain this answer?.
What number must be added to numerator and denominator of 2/7to make fraction equal to 2/3 ?a)8b)5c)3d)1Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What number must be added to numerator and denominator of 2/7to make fraction equal to 2/3 ?a)8b)5c)3d)1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What number must be added to numerator and denominator of 2/7to make fraction equal to 2/3 ?a)8b)5c)3d)1Correct answer is option 'A'. Can you explain this answer?.
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