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Which sign makes the statement true?\newline2172\frac{1}{7} ?\text{?} 2672\frac{6}{7}\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline2172\frac{1}{7} ?\text{?} 2672\frac{6}{7}\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison.\newline217=(2×7+1)/7=1572 \frac{1}{7} = (2\times7 + 1)/7 = \frac{15}{7}\newline267=(2×7+6)/7=2072 \frac{6}{7} = (2\times7 + 6)/7 = \frac{20}{7}
  2. Compare Fractions: Compare the two improper fractions. 157?207\frac{15}{7} ? \frac{20}{7} Since 15 < 20, 157\frac{15}{7} is less than 207\frac{20}{7}.
  3. Choose Correct Sign: Choose the correct sign based on the comparison. \frac{15}{7} < \frac{20}{7}, so the correct sign is "<".

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