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Two mobile phones are charging. One shows of its battery filled and the other shows . Which phone has more charge?

Class 6FractionsFractions
  • AThe phone, because 8 is smaller than 12
  • BBoth are the same
  • CIt cannot be decided
  • DThe phone

Step-by-Step Solution

Rewrite both with denominator 24: and . Since 10 > 9, the phone has more charge. The 'smaller denominator wins' shortcut only works when the numerators are equal — here they are 3 and 5, so a common denominator is needed.
Answer: D) The phone

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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