# Fractions Teaching Resources

Make math lesson planning a breeze with printable fractions worksheets, fun activities, games, and more teaching resources for the elementary classroom.

This collection of curriculum-aligned printable and digital resources has been created just for teachers by the teachers on the Teach Starter team. That means each resource has undergone an in-depth review before being published to ensure it's ready for the classroom and your students! Inside this collection, you'll find editable resources you can easily differentiate for individual learners plus math center activities and fun games to help students understand how to add and divide fractions and more.

New to teaching this section of the math curriculum? Read on for a guide to all things fractions from our teacher team!

## What Are Fractions?

It may be basic, but we need to start somewhere! Fractions are, of course, mathematical expressions that represent a part of a whole or a ratio of two quantities. Fractions can be used to represent quantities that are not whole numbers, and they are an important part of arithmetic, algebra, and other areas of math that our students explore throughout their elementary and high school education.

Understanding numerators and denominators is an essential skill as students dive into adding, subtracting, multiplying, and dividing fractions.

Next, let's dive into the most common topics we cover when we're teaching fractions!

## Proper Fractions vs. Improper Fractions

Teaching fractions involves teaching students a *lot* of new vocabulary! Two terms your class will need to know early on in your lessons are:

**Proper Fractions:**This is a fraction where the numerator (the top part) is less than the denominator (the bottom part). A proper fraction represents a value that is between 0 and 1. For example, 1/2 is a proper fraction because the numerator (1) is less than the denominator (2).**Improper Fractions:**This is a fraction where the numerator is greater than or equal to the denominator. An improper fraction represents a value that is greater than or equal to 1. For example, 3/2 is an improper fraction because the numerator (3) is greater than the denominator (2).

## What Is a Unit Fraction?

We told you there was a lot of vocabulary involved! A unit fraction is a fraction whose numerator is 1 and whose denominator is a positive integer.

For example, 1/2, 1/3, 1/4, etc., are all unit fractions. Unit fractions are also examples of proper fractions, as they are always less than 1 in value.

When working with unit fractions in your classroom, students learn to represent these fractions with visual models where one piece of a partitioned shape is shaded in. Students also learn to build larger fractions by grouping unit fractions together.

As an example, 1/8 + 1/8 + 1/8 = 3/8.

## What Is the Least Common Multiple?

Working on fractions with your upper elementary students? You may be tackling the least common multiple this school year. So let's talk about what that means. The least common multiple is another important term to define before diving into adding, subtracting, or comparing fractions.

Sometimes called the LCM, the least common multiple of two or more numbers is the smallest positive integer that is divisible by all of the numbers.

In order to find the LCM of two or more numbers, you can teach students to use one of several methods, including:

- The prime factorization method
- The listing method
- The division method

## How Do You Add Fractions?

Once students understand the basics of fractions, it's time to teach how they work in relation to the different operations. We'll start with addition.

To add two or more fractions, students will need to:

- Find a common denominator (also known as the least common denominator or LCD) that is a multiple of the denominators of all the fractions. A common denominator can be found by finding the least common multiple (LCM) of the denominators.
- Once students have found the common denominator, they need to learn to convert each fraction so that it has the same denominator as the others. This is done by multiplying both the numerator and denominator of each fraction by the same number so that the denominator is equal to the common denominator.
- After converting the fractions to have the same denominator, they can add the numerators of the converted fractions.
- The denominator will be the least common denominator that was found earlier.

## How Do You Subtract Fractions?

Finding the sum of fractions is one thing, but how do students find the difference?

- Students will once again need to find a common denominator — a common multiple of the denominators of the fractions.
- Once they have found a common denominator, they can convert each fraction so that it has the same denominator as the others.
- After converting the fractions to have the same denominator, students can subtract the numerators of the converted fractions to find the numerator of the difference. The denominator of the difference will be the common denominator that they found earlier.

## How Do You Multiply Fractions?

Once students have adding and subtracting fractions down, they might find that multiplying is a lot simpler!

To multiply two or more fractions, you simply multiply the numerators (the top parts) together to get the numerator of the product, and then multiply the denominators (the bottom parts) together to get the denominator of the product.

## How Do You Divide Fractions?

It's time for one last operation! Dividing fractions is one of the more complicated processes elementary students will have to handle when it comes to working with fractions. They will need to know how to invert fractions before they can dive in, aka flipping the numerator and denominator.

To divide fractions, teach students to:

- Invert the second fraction.
- Multiply the two fractions.
- Simplify the quotient — if possible — by finding the greatest common factor of the numerator and denominator and dividing both by it, to get the final answer in simplest form.

## How Do You Simplify Fractions?

Simplifying a fraction is pretty, well, simple! It means reducing it to its simplest form. To do this, students will find an equivalent fraction that has the same value but with a smaller numerator and denominator. The numerator and denominator of a simplified fraction have no common factors other than 1.

To simplify a fraction, you can divide both the numerator and denominator by their greatest common factor. You'll then need to keep dividing by the greatest common factor until it is equal to 1, which means that the fraction can't be simplified any further. And there you have it — a simplified fraction!

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### Escape From the Alien Invasion – Math Escape Room (Basic Fractions)

Save the planet from the alien invasion by identifying fractions, comparing fractions, creating models, and more with an exciting digital escape room.

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### Is It Half? Differentiated Fractions Coloring Sheet

Introduce your students to the concept of halves as well as equal and unequal parts with this fractions coloring sheet.

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### Fraction Fact File Worksheet

Explore all things fractions with this one-page printable worksheet.

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### Comparing Fractions Mini-Book

Use this mini-book to help your students learn how to compare fractions with visual models, number lines, and mathematical reasoning.

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### Types of Fractions – Poster

Display information about proper fractions, improper fractions, and mixed numbers with this free math poster.

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### Simplify to Multiply – Multiplying Fractions Worksheet

Practice how to simplify fractions before multiplying with this worksheet.

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### Fraction Strips

Promote hands-on learning in your classroom with this set of printable fraction strips.

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### Identifying Fractions – Worksheet

Strengthen student understanding of fraction models, how to identify fractions on a number line, and determine a fraction of a set with this free worksheet.

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### Comparing Fractions – Instructional Slide Deck

Teach your students about comparing fractions with like numerators or denominators by means of visual models, number lines, and mathematical reasoning.

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### 5th Grade Math Review – Test Prep Packet

Encourage your students to work through 8 pages of 5th-grade math problems while charting their progress to measure their success.

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### Least Common Multiple - Digital and Printable Worksheet

Find the least common multiple of a set of numbers with this worksheet.

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### Percentages, Fractions, and Decimals Sort

A worksheet connecting percentage, decimal, and fraction values.

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### Understanding Fractions – Exit Tickets

Assess student understanding of basic fractions with this set of 24 math exit tickets.

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### Basic Fractions – Task Cards

Identify unit fractions on a number line, aim to understand fraction models, and discover partitioning shapes into equal parts with this free set of 24 task cards.

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### Math Mazes (Equivalent Fractions, Decimals, and Percentages)

Determine equivalent fractions, decimals, and percentages with this puzzling math maze.

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### Fractions on a Number Line - Halves, Fifths, and Tenths

Demonstrate the concept of fractions on a number line with a printable fraction number line display and student reference sheets.

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### Dividing Shapes Into Equal Parts – Worksheet

Practice partitioning shapes and shading fraction models with this math worksheet for 2nd and 3rd-grade students.

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### Converting Decimals, Fractions, and Percentages – Worksheet

Strengthen your students’ understanding of how to convert a percent to a decimal and a fraction with this worksheet.

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### Fractions, Decimals and Percentages Worksheets

Use these fractions, decimals and percentages worksheets in your upper elementary classroom for independent practice or as an assessment activity.

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### Comparing Fractions – Task Cards

Practice comparing fractions with the same numerator or denominator with this set of 24 task cards.

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### Fractions on a Number Line Worksheets

Represent fractions greater than zero and less than or equal to one with a pack of fraction number line worksheets.

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### Equivalent Fractions – Worksheet Pack

Use fraction models, strip diagrams, and number lines to determine equivalent fractions with this worksheet pack.

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### Equivalent Fractions – Instructional Slide Deck

Teach your students how to find equivalent fractions by using a number line, shaded models, or a fraction chart with this instructional slide deck.

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### Equivalent Fractions Chart – Differentiated Worksheets

Use a fraction wall to find equivalent fractions and compare fractions with this set of differentiated worksheets.

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### Equivalent Fraction Wall - Poster

Guide students to develop an understanding of fractions with the same value by using an equivalent fractions chart in your classroom.

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### Multiplying Mixed Numbers – Word Problem Worksheet

Solve a variety of word problems with this multiplying mixed numbers worksheet.

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### Fractions on a Number Line - Instructional Deck

Teach your students how to identify and work with fractions on a number line with an interactive, explicit instructional teaching presentation.

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### Fraction Representations Posters - Whole, Halves, Thirds, Fourths, and Fifths

A set of posters showing the different representations of benchmark fractions.

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### Comparing Fractions – Differentiated Cut and Paste Worksheets

Compare fractions with like numerators and denominators with this cut and paste worksheet.

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### Equivalent Fractions – Mystery Picture Worksheet

Determine equivalent fractions while using the color guide to reveal a mystery image.

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### Fractions of a Set – Cut and Paste Worksheets

A set of worksheets to practice fractional sets of a whole.

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### Fractions Worksheet Pack – Differentiated

Practice partitioning shapes, shading in fraction models, representing fractions on a number line, and more with this set of differentiated worksheets.