Section D Section D Checkpoint

Problem 1

Use >>, <<, or == to make each statement true.

  1.  13 ‾ 12\frac{1}{3}\, \underline{\hspace{1cm}} \,\frac{1}{2}
  2.  58 ‾ 48\frac{5}{8} \,\underline{\hspace{1cm}}\, \frac{4}{8}
  3.  26 ‾ 13\frac{2}{6}\, \underline{\hspace{1cm}}\, \frac{1}{3}
  4.  32 ‾ 34\frac{3}{2}\, \underline{\hspace{1cm}} \,\frac{3}{4}
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Solution
  1. 13<12\frac{1}{3} < \frac{1}{2}
  2. 58>48\frac{5}{8} > \frac{4}{8}
  3. 26=13\frac{2}{6} = \frac{1}{3}
  4. 32>34\frac{3}{2} > \frac{3}{4}

Problem 2

Elena ate 13\frac{1}{3} of a loaf of bread while Clare ate 14\frac{1}{4} of the same loaf of bread. Clare says that she ate more of the bread because 4 is greater than 3.

Do you agree with Clare? Explain or show your reasoning.

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Solution

No. Sample response: Clare is not correct, Elena ate more of the bread. Thirds are bigger than fourths since the whole is split into fewer parts.