Class 8 Exam > Class 8 Questions > 3/7+(-6/11)+(-8/21)+5/12?
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3/7+(-6/11)+(-8/21)+5/12?
Verified Answer
3/7+(-6/11)+(-8/21)+5/12?
Solution :-
3/7 + (- 6/11) + (- 8/21) + (5/22)
Taking L.C.M. of the denominators 7, 11, 21 and 22 and then solving it.
L.C.M. of 7, 11, 21 and 22 = 2*3*7*11
= 462
= (462/7)*3 - (462/11)*6 - (462/21)*8 + (462/22)*5
= (198/462) - (252/462) - (176/462) + (105/462)
= (303/462) - (428/462)
= (-125/462)
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
3/7+(-6/11)+(-8/21)+5/12?
Calculating the sum of fractions:
- To add fractions with different denominators, we first need to find a common denominator. In this case, the common denominator for 7, 11, 21, and 12 is 924.
Converting fractions to have a common denominator:
- 3/7 = 396/924
- -6/11 = -504/924
- -8/21 = -352/924
- 5/12 = 385/924
Adding the fractions:
- 396/924 + (-504/924) + (-352/924) + 385/924
- = (396 - 504 - 352 + 385) / 924
- = (-75) / 924
Simplifying the fraction:
- -75 and 924 do not share any common factors other than 1, so the fraction is already in its simplest form.
Therefore, the sum of 3/7 + (-6/11) + (-8/21) + 5/12 is -75/924.
- To add fractions with different denominators, we first need to find a common denominator. In this case, the common denominator for 7, 11, 21, and 12 is 924.
Converting fractions to have a common denominator:
- 3/7 = 396/924
- -6/11 = -504/924
- -8/21 = -352/924
- 5/12 = 385/924
Adding the fractions:
- 396/924 + (-504/924) + (-352/924) + 385/924
- = (396 - 504 - 352 + 385) / 924
- = (-75) / 924
Simplifying the fraction:
- -75 and 924 do not share any common factors other than 1, so the fraction is already in its simplest form.
Therefore, the sum of 3/7 + (-6/11) + (-8/21) + 5/12 is -75/924.
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3/7+(-6/11)+(-8/21)+5/12?
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3/7+(-6/11)+(-8/21)+5/12? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 3/7+(-6/11)+(-8/21)+5/12? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/7+(-6/11)+(-8/21)+5/12?.
3/7+(-6/11)+(-8/21)+5/12? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 3/7+(-6/11)+(-8/21)+5/12? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/7+(-6/11)+(-8/21)+5/12?.
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