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Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)?
Most Upvoted Answer
Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)?
-5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)
-5/6 + 7/8 + 11/12 + 1/6 - 7/16
LCM of 6, 8, 12 & 16 is 48
(-5*8)/48 + (7*6)/48 + (11*4)/48 + (1*8)/48 - (7*3)/48
-40/48 + 42/48 + 44/48 + 8/48 - 21/48
(-40 + 42 + 44 + 8 - 21)/48
(94 - 61)/48
33/48
11/16
-5/6 + 7/8 + 11/12 + 1/6 - 7/16
LCM of 6, 8, 12 & 16 is 48
(-5*8)/48 + (7*6)/48 + (11*4)/48 + (1*8)/48 - (7*3)/48
-40/48 + 42/48 + 44/48 + 8/48 - 21/48
(-40 + 42 + 44 + 8 - 21)/48
(94 - 61)/48
33/48
11/16
Community Answer
Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)?
Simplifying expressions
- Expression 1: -5/6 - 7/-8
- First, we need to convert the second fraction to a positive fraction by changing the sign of the denominator. This gives us -5/6 + 7/8.
- Next, we need to find a common denominator for the two fractions. The smallest common multiple of 6 and 8 is 24, so we can rewrite the fractions with this denominator. This gives us -20/24 + 21/24.
- Finally, we can combine the two fractions by subtracting the numerators and keeping the common denominator. This gives us 1/24.
- Therefore, -5/6 - 7/-8 simplifies to 1/24.
- Expression 2: 11/12 - (-1/6)
- A double negative becomes a positive, so we can rewrite the expression as 11/12 + 1/6.
- Next, we need to find a common denominator for the two fractions. The smallest common multiple of 12 and 6 is 12, so we can rewrite the fractions with this denominator. This gives us 11/12 + 2/12.
- Finally, we can combine the two fractions by adding the numerators and keeping the common denominator. This gives us 13/12.
- However, 13/12 is an improper fraction. We can simplify it to a mixed number by dividing the numerator by the denominator. This gives us 1 and 1/12.
- Therefore, 11/12 - (-1/6) simplifies to 1 and 1/12.
- Expression 3: 0 - (-7/-16)
- A double negative becomes a positive, so we can rewrite the expression as 0 + 7/16.
- However, 0 + 7/16 is just 7/16.
- Therefore, 0 - (-7/-16) simplifies to 7/16.
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Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)?
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Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)?.
Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify -5/6 - 7/-8 + 11/12 - (-1/6) + 0 - (-7/-16)?.
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