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6.

Compare Fractions with Same Denominators

Now that third graders can generate equivalent fractions for simple fractions without the help of models, it is time to move on to comparison of like fractions. Children compare the size of two fractions using fraction models and number lines in this interactive worksheet.

What’s inside?

- Compare two fractions with same denominators using visual models.

- Identify the greater or smaller fraction for a given fraction.

- Model a fraction greater than, smaller than or equal to a given fraction.

- Compare fractions on a number line.

- Order two or more fractions from the greatest to the least or vice-versa.

Real-World Application

Understanding the magnitude of a given fraction and its relation to other fractions is important. When we score 18/20 on a test and a friend scores 17/20 on the same test, we know we’ve scored higher because we’ve correctly compared the two fractions.

What’s next?

After having learned to compare fractions with same denominators, children can now proceed to compare fractions with same numerators.

Cool Fact

Do you know who invented fractions? The Egyptians, in 2000 B.C., invented the concept of fractions to simplify tax collection from land. A piece of land was divided into sections (or parts), and each section was taxed a certain amount. If you owed two such sections, you’d pay twice the amount, three such sections, three times the amount, and so on.

Common Core Alignment

3.NF.3.dCompare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.