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Which fraction is less?\newlineChoices:\newline(A) 14\frac{1}{4}\newline(B) 13\frac{1}{3}

Full solution

Q. Which fraction is less?\newlineChoices:\newline(A) 14\frac{1}{4}\newline(B) 13\frac{1}{3}
  1. Find Common Denominator: Compare the fractions by finding a common denominator. Common denominator for 14\frac{1}{4} and 13\frac{1}{3} is 1212. Convert each fraction:\newline14=312\frac{1}{4} = \frac{3}{12},\newline13=412\frac{1}{3} = \frac{4}{12}.
  2. Convert and Compare Fractions: Compare the numerators of the converted fractions. Since 312\frac{3}{12} (from 14\frac{1}{4}) is less than 412\frac{4}{12} (from 13\frac{1}{3}), 14\frac{1}{4} is the smaller fraction.