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Two identical jars of pickle stand on a shelf. One is full and the other is full. Which jar holds more pickle?

Class 6FractionsFractions
  • AThe jar, because 11 is bigger than 7
  • BBoth hold the same, because both numerators are 4
  • CIt cannot be decided without knowing the size of the jars
  • DThe jar

Step-by-Step Solution

The numerators are equal, so compare the denominators: dividing a jar into 7 parts makes BIGGER parts than dividing it into 11. Four bigger parts beat four smaller parts, so . Picking the jar because 11 > 7 is the trap — a bigger denominator means smaller pieces, not more pickle.
Answer: D) The jar

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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