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Which fraction is equivalent to 48\frac{4}{8}?\newlineChoices:\newline(A) 12\frac{1}{2}\newline(B) 47\frac{4}{7}\newline(C) 410\frac{4}{10}\newline(D) 49\frac{4}{9}

Full solution

Q. Which fraction is equivalent to 48\frac{4}{8}?\newlineChoices:\newline(A) 12\frac{1}{2}\newline(B) 47\frac{4}{7}\newline(C) 410\frac{4}{10}\newline(D) 49\frac{4}{9}
  1. Identify GCF: Identify the Greatest Common Factor (GCF) of 44 and 88.\newlineFactors of 44: 11, 22, 44\newlineFactors of 88: 11, 22, 44, 88\newlineGCF of 44 and 88: 44
  2. Simplify Fraction: Simplify the fraction 48\frac{4}{8} using the GCF.\newline(48)=(44)/(84)=12(\frac{4}{8}) = (\frac{4}{4}) / (\frac{8}{4}) = \frac{1}{2}
  3. Compare Choices: Compare the simplified fraction with the given choices.\newline12\frac{1}{2} matches choice (A)12\frac{1}{2}