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Comparing Fractions Word Problems Worksheet

Three real-life scenarios ask students to draw a picture and write an inequality symbol comparing two quantities, such as sneakers against a full shoe collection.
Grades
Grades 3–5, Elementary
File type
PDF
Preparation
Print ready

Updated Mar 27, 2023

Subject
Algebra, Math, Fractions
Topic
Have Fun Teaching, Comparing Fractions
Resource types
Worksheets, Worksheets & Printables
Preparation
Print ready
Standards
3. NF.A.3

About this resource

What's inside this resource

If you want to give students extra practice with solving word problems with fractions, I have just the resource for you.

This Comparing Fractions Word Problems Worksheet is perfect for helping students compare fractions in real life situations. The word problems are relatable and encourage students to think critically about the fraction comparisons. As a teacher, you will love seeing your students engage with the material and learn in a fun and effective way!

This is a 2-page printable that is great for your upper elementary students in 3rd – 5th grade. There are 3 problems for students to complete. When students read each problem, they will draw a picture and write an inequality to show what is going on in the situations.

You may choose to have students complete this independently. It also works great as a small group assignment. Students could create groups of 3 and each person is responsible for 1 problem. Because there are only 3 problems, it would also make a great morning work assignment or exit ticket.

An answer key is included.

 

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In the classroom

Teaching tips & learning objectives

Learning objectives

  • Compare two quantities from a word problem and record the comparison using the correct inequality symbol (> or <)

  • Translate a word problem into a drawn picture that represents the quantities being compared

  • Apply comparison reasoning to real-life contexts such as shared portions and grouped collections

Teaching tips

  • Review the meaning of the '>' and '<' symbols before students begin, since the sheet expects them to choose and write the correct symbol independently

  • Use the answer key on the second page to check the three inequalities quickly during a lesson wrap-up

  • Because there are only three problems, use the sheet as a short warm-up or exit check rather than a full lesson

Skills covered

  • Quantity comparison — students compare two amounts (completed math problems, portions of a sandwich and an apple, sneaker pairs within a ten-pair collection) and decide which is greater.

  • Inequality notation — students record the comparison they found using the '>' or '<' symbol.

  • Visual modeling — students draw a picture for each scenario before writing the symbolic inequality, connecting the drawing to the answer.

Good to know

Questions teachers ask about this resource

Do the three word problems use the same kind of comparison?

No — each draws on a different real-life situation: one compares completed math problems out of a set, one compares portions of a sandwich and an apple, and one compares sneaker pairs within a ten-pair shoe collection.

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Curriculum

Standards, concepts & topics

Standards

  • 3. NF.A.3 — Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model. c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. d. Compare 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.

Core concepts

  • Comparing fractions

  • Inequality symbols

  • Word problems

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