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Which fraction is equivalent to 210\frac{2}{10}?\newlineChoices:\newline(A) 38\frac{3}{8}\newline(B) 19\frac{1}{9}\newline(C) 17\frac{1}{7}\newline(D) 15\frac{1}{5}

Full solution

Q. Which fraction is equivalent to 210\frac{2}{10}?\newlineChoices:\newline(A) 38\frac{3}{8}\newline(B) 19\frac{1}{9}\newline(C) 17\frac{1}{7}\newline(D) 15\frac{1}{5}
  1. Simplify Fraction: Simplify the fraction 210\frac{2}{10}.\newlineCalculation: The GCF of 22 and 1010 is 22.\newline(210)=(22)/(102)=15(\frac{2}{10}) = (\frac{2}{2}) / (\frac{10}{2}) = \frac{1}{5}
  2. Compare with Choices: Compare the simplified fraction with the given choices.\newlineCalculation: The simplified fraction is 15\frac{1}{5}.\newlineCheck choices:\newline(A) 38\frac{3}{8} - Not equivalent\newline(B) 19\frac{1}{9} - Not equivalent\newline(C) 17\frac{1}{7} - Not equivalent\newline(D) 15\frac{1}{5} - Equivalent