- A−1
- B1
- C
- D
Step-by-Step Solution
(. Then .
Answer: A) −1
Compute . Simplify.
Class 7Rational NumbersRational Numbers
Key idea: Operations on rationals
**Addition / subtraction**: same denominator → add/subtract numerators. Different denominator → bring to common denominator first.
**Multiplication**: (p/q) × (r/s) = (p×r)/(q×s). Sign rule from integers applies (same → +, different → −).
**Division**: multiply by the reciprocal. (p/q) ÷ (r/s) = (p/q) × (s/r), provided r ≠ 0.
Nothing new compared to fractions — just keep track of signs.
**Multiplication**: (p/q) × (r/s) = (p×r)/(q×s). Sign rule from integers applies (same → +, different → −).
**Division**: multiply by the reciprocal. (p/q) ÷ (r/s) = (p/q) × (s/r), provided r ≠ 0.
Nothing new compared to fractions — just keep track of signs.
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More Class 7 Rational Numbers practice
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