Adding and Subtracting Fractions with Like Denominators

Lesson 4 from Learning Gig: Operations with Whole Numbers and Fractions - 5th Grade Outstanda Math

Students will understand how to add and subtract fractions with the same denominator, simplify their results, and apply these skills to real-life scenarios.

Common Core USA - Map To Standards

 

Learning Gig Resources

Reading

Understanding Like Denominators

An introduction to denominators and why having like denominators makes fraction addition and subtraction easier.

Reading

Step-by-Step Guide to Adding Fractions

A breakdown of how to add fractions when the denominators are already the same.

Video

Adding Fractions with Common Denominators (Step by Step) | Math with Mr. J

This instructional video by Mr. J offers a step-by-step guide on how to add fractions with like denominators. It's ideal for beginners or anyone needing a refresher on this math concept.

Source: Math with Mr. J
Reading

Subtracting Fractions: How Does It Work?

A step-by-step explanation of subtracting fractions with like denominators.

Video

Subtracting Fractions with Common Denominators (Step by Step)

This instructional video by Mr. J provides a step-by-step guide on how to subtract fractions that have the same denominators. It's suitable for beginners or anyone needing a refresher on this math concept.

Source: Math with Mr. J
Reading

Simplifying Fractions: Why It’s Important

A guide to simplifying fractions after performing operations.

Video

Simplifying Fractions

This instructional video demonstrates how to simplify fractions by identifying common factors between the numerator and denominator, providing clear examples to enhance understanding.

Source: YouTube Video Publisher
Reading

Fraction Practice: Addition, Subtraction, and Simplification

A set of fraction practice problems to reinforce adding, subtracting, and simplifying fractions with like denominators.

Project Work (Recommended)

Project

Project: Fraction Snack Mix – Mixing, Measuring & Sharing with Fractions

Students will create a snack mix by measuring and combining different ingredients while practicing fraction addition, subtraction, simplification, and division.

2 students
Slides

Adding and Subtracting Fractions with Like Denominators

Learn how to add and subtract fractions with the same denominator, simplify results, and apply these skills to real-life scenarios.

What is a fraction?

 

What is a fraction?

A fraction represents a part of a whole, with a numerator (top number) and denominator (bottom number).

What does the denominator tell us in a fraction?

 

What does the denominator tell us in a fraction?

It tells us how many equal parts make up the whole.

What are like denominators?

 

What are like denominators?

Fractions that have the same denominator.

Why is it easier to add and subtract fractions with like denominators?

 

Why is it easier to add and subtract fractions with like denominators?

Because the parts are already the same size, so we only need to add or subtract the numerators.

What is \( \frac{3}{8} + \frac{2}{8} \)?

 

What is \( \frac{3}{8} + \frac{2}{8} \)?

\( \frac{5}{8} \)

What is the first step when adding fractions with the same denominator?

 

What is the first step when adding fractions with the same denominator?

Check that the denominators are the same.

What do you do with the numerators when adding fractions with like denominators?

 

What do you do with the numerators when adding fractions with like denominators?

Add the numerators together.

What do you do with the denominator when adding fractions with like denominators?

 

What do you do with the denominator when adding fractions with like denominators?

Keep the denominator the same.

Solve: \( \frac{4}{7} + \frac{2}{7} \)

 

Solve: \( \frac{4}{7} + \frac{2}{7} \)

\( \frac{6}{7} \)

Solve: \( \frac{1}{4} + \frac{2}{4} \)

 

Solve: \( \frac{1}{4} + \frac{2}{4} \)

\( \frac{3}{4} \)

What is the first step when subtracting fractions with the same denominator?

 

What is the first step when subtracting fractions with the same denominator?

Check that the denominators are the same.

What do you do with the numerators when subtracting fractions with like denominators?

 

What do you do with the numerators when subtracting fractions with like denominators?

Subtract the numerators.

What do you do with the denominator when subtracting fractions with like denominators?

 

What do you do with the denominator when subtracting fractions with like denominators?

Keep the denominator the same.

Solve: \( \frac{6}{9} - \frac{2}{9} \)

 

Solve: \( \frac{6}{9} - \frac{2}{9} \)

\( \frac{4}{9} \)

Solve: \( \frac{5}{7} - \frac{2}{7} \)

 

Solve: \( \frac{5}{7} - \frac{2}{7} \)

\( \frac{3}{7} \)

What does it mean to simplify a fraction?

 

What does it mean to simplify a fraction?

To express it in its smallest form by dividing the numerator and denominator by their greatest common factor (GCF).

What is the simplified form of \( \frac{6}{9} \)?

 

What is the simplified form of \( \frac{6}{9} \)?

\( \frac{2}{3} \)

What is the simplified form of \( \frac{12}{16} \)?

 

What is the simplified form of \( \frac{12}{16} \)?

\( \frac{3}{4} \)

What is the simplified form of \( \frac{9}{18} \)?

 

What is the simplified form of \( \frac{9}{18} \)?

\( \frac{1}{2} \)


Study Guide

Guided Notes and Study Guide: Adding and Subtracting Fractions with Like Denominators

This guide helps students understand how to add and subtract fractions with the same denominator, simplify results, and apply these skills to real-world scenarios.


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