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Rewrite and with the common denominator 24. Which pair is correct?

Class 6FractionsFractions
  • A and
  • B and
  • C and
  • D and

Step-by-Step Solution

24 ÷ 6 = 4, so . And 24 ÷ 8 = 3, so . Simply swapping in the new denominator and leaving the numerators as 5 and 7 is the trap — that shrinks both fractions.
Answer: A) and

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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