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Assertion (A): . Reason (R): Unlike fractions must first be rewritten with a common denominator before they can be added. Which is correct?

Class 6FractionsFractions
  • ABoth A and R are true, and R correctly explains A
  • BA is false but R is true
  • CA is true but R is false
  • DBoth A and R are false

Step-by-Step Solution

R is a correct rule. Applying it, , so — not . The in A came from adding the numerators and the denominators separately. So A is false while R is true.
Answer: B) A is false but R is true

Key idea: Comparing fractions

**Same denominator (like fractions)**: just compare the numerators. 5/7 > 3/7 because 5 > 3.

**Same numerator**: the bigger denominator means smaller pieces, so smaller value. 1/4 > 1/8 — the same one piece is bigger when the whole is split into fewer pieces.

**Neither same**: rewrite both with a common denominator (a denominator both fractions can share, often the LCM of the two denominators). Then compare numerators.

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