Compare Fractions with Same Numerator

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Lesson Plans and Worksheets for Grade 3
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Common Core For Grade 3

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Examples, videos, and solutions to help Grade 3 students learn how to compare fractions with the same numerator using <, >, or = and use a model to reason about their size.

Common Core Standards: 3.NF.3d

New York State Common Core Math Grade 3, Module 5, Lesson 29

Worksheets for Grade 3

Application Problem

Catherine and Diana bought matching scrapbooks. Catherine decorated 5/9 pages in her book. Diana decorated 5/6 of the pages in her book.

Use a tape diagram to show who has decorated more pages of their scrapbooks.

Concept Development

Draw 2 number lines. And label the endpoints 0 and 1.
Partition the first number line into eighths and the second one into tenths.

On the first number line, make an arrow to label 8/8 of the unit fraction. On the second number line, make an arrow to label 2 copies of 5/10

Give a sentence comparing the fractions using the words ‘greater than,’‘less than,’ or ‘equal to.’ They are equal because they have the same point on the number line. That means they’re equivalent.

Now write the comparison as a number sentence with the correct symbol between the fractions.
8/8 = 10/10

Lesson 29 Homework

Directions: Label each shaded fraction. Use <, >, or = to compare.

Directions: Partition each number line into the units labeled on the left. Then, use the number lines to compare the fractions.

Draw your own models to compare the following fractions.

10. For an art project, Michello used 3/4 of a glue stick. Yamin 3/6 of an identical glue stick. Who used more of the glue stick? Use the model below to support your answer. Be sure to label 1 whole as 1 glue stick.

11. After gym class, Jahsir drank 2 eighths of a bottle of water. Jade drank 2 fifths of an identical bottle of water. Who drank less water? Use the model below to support your answer.

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