- A6
- B
- C−6
- D
Step-by-Step Solution
Flipping gives . Check with the defining rule: . Tanvi's rule is false — a reciprocal keeps the sign of the original number, so a negative rational always has a negative reciprocal.
Answer: C) −6
Tanvi says the reciprocal of is 6, because "a reciprocal is always positive". What is the correct reciprocal?
Class 7Rational NumbersRational Numbers
Key idea: Standard form (simplest form)
To put a rational number in standard form:
1. If the denominator is negative, multiply both top and bottom by −1 to make it positive.
2. Divide top and bottom by their GCD.
Example: −12/−18. Make denominator positive: 12/18. GCD = 6. Divide: 2/3.
Example: 15/−20. Make denominator positive: −15/20. GCD = 5. Divide: −3/4.
1. If the denominator is negative, multiply both top and bottom by −1 to make it positive.
2. Divide top and bottom by their GCD.
Example: −12/−18. Make denominator positive: 12/18. GCD = 6. Divide: 2/3.
Example: 15/−20. Make denominator positive: −15/20. GCD = 5. Divide: −3/4.
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