Comparing Fractions

Out of all the tiles Jackie and Jerome have for their mosaic, of them are made of glass, of them are made of stone, and of them are made of wood. Mr. Moreno asks them, “Which type of tiles do you have the most of, and of which do you have the least?”

“I think we should put the fractions in order from least to greatest,” said Jackie. “I know is bigger than because I can picture it as fractions of a red circle. An orange circle piece is bigger than a yellow circle piece. So those go in order like this.”

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“But what about ?” asked Jackie. “Is that bigger or smaller than ?”

“Let's find a common denominator to decide,” said Jerome.

  1. Find common denominators to compare the following pairs of fractions. Write your answers using the symbols <, >, or =. Think about or use fraction circle pieces or the Fraction Chart or Fractions on Number Lines Chart in the Reference section to check your answers.
  2. Arrange these fractions in order from smallest to largest. Show or tell how you decided on the order.