Comparing fractions

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We used a common denominator to compare fractions in a previous activity, but there are other strategies we can use. To solve these problems, we would like you to use methods other than making a common denominator. You may make equivalent fractions to help you think about the problems, but your strategy must include additional reasoning.

Which fraction is larger, $\frac {1}{12}$ or $\frac {1}{13}$ ? Use our meaning of fractions to explain how you know.

Which fraction is larger, $\frac {1}{93}$ or $\frac {1}{127}$ ? Use our meaning of fractions to explain how you know.

Which fraction is larger, $\frac {35}{64}$ or $\frac {37}{52}$ ? Use our meaning of fractions to explain how you know.

Which fraction is larger, $\frac {41}{80}$ or $\frac {43}{90}$ ? Use our meaning of fractions to explain how you know.

Imran says that $\frac {23}{24}$ is larger than $\frac {19}{20}$ because $\frac {23}{24}$ has more pieces. Do you agree with Imran? Explain your thinking using our meaning of fractions.

Joshua says that $\frac {14}{14}$ is smaller than $\frac {16}{16}$ because $14 < 16$ . Do you agree with Joshua? Explain your thinking using our meaning of fractions.

We are likely to ask you similar questions to those on this page. For each of the problems above, write a different fraction comparison problem which is solved using the strategy of that problem. If you have time, trade problems with a neighboring team and solve them!

2025-08-13 00:48:50