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Which sign makes the statement true?\newline911−311\frac{9}{11} - \frac{3}{11} ?\text{?} 911−211\frac{9}{11} - \frac{2}{11}\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

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Inequalities with addition and subtraction of like and unlike fractionsright chevron icon

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Q. Which sign makes the statement true?\newline911−311\frac{9}{11} - \frac{3}{11} ?\text{?} 911−211\frac{9}{11} - \frac{2}{11}\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Simplify expressions: Step 11: Simplify both expressions to find which is greater.\newline911−311=611\frac{9}{11} - \frac{3}{11} = \frac{6}{11} (since 9−3=69 - 3 = 6)\newline911−211=711\frac{9}{11} - \frac{2}{11} = \frac{7}{11} (since 9−2=79 - 2 = 7)
  2. Compare simplified results: Step 22: Compare the simplified results.\newline611\frac{6}{11} is less than 711\frac{7}{11}, so \frac{9}{11} - \frac{3}{11} < \frac{9}{11} - \frac{2}{11}.

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