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Which fraction is less?\newlineChoices:\newline(A) 18\frac{1}{8}\newline(B) 12\frac{1}{2}

Full solution

Q. Which fraction is less?\newlineChoices:\newline(A) 18\frac{1}{8}\newline(B) 12\frac{1}{2}
  1. Find Common Denominator: Compare the two fractions by finding a common denominator. The denominators are 88 and 22. The least common multiple (LCM) of 88 and 22 is 88. Convert 12\frac{1}{2} to a fraction with denominator 88: (12)(44)=48\left(\frac{1}{2}\right) * \left(\frac{4}{4}\right) = \frac{4}{8}.
  2. Convert 12\frac{1}{2} to 48\frac{4}{8}: Now, compare 18\frac{1}{8} and 48\frac{4}{8}. Since 11 is less than 44, 18\frac{1}{8} is smaller than 48\frac{4}{8}.