Subjects

Arithmetic

Equations

Algebraic Equations Basics

Easy Fractions: Adding and Simplifying with Different Denominators

Name: Knowunity
Brand: Knowunity

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Easy Fractions: Adding and Simplifying with Different Denominators

Clara Vandenbelt

@clara_tiara0

110 Followers

A comprehensive guide to how to add fractions with different denominators and handle negative fractions, focusing on using least common multiples (LCM) for fraction operations.

Learn to find the LCM of denominators to create equivalent fractions
Master the process of simplifying negative fractions with unlike denominators
Understand how to convert fractions to equivalent forms with common denominators
Practice using the step-by-step method to solve fraction problems
Apply techniques to both addition and subtraction of fractions

11/2/2023

177

$ADDING AND SUBTRACTING POSITIVE AND NEGATIVE FRACTIONS WITH UNLIKE DENOMINATORS To add or subtract fractions with different denominators, we$

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Converting to Equivalent Fractions

This page demonstrates how to create equivalent fractions using the LCM. The process involves multiplying both numerator and denominator by appropriate factors to achieve the common denominator.

Example: Converting fractions to equivalent forms with denominator 20:

1/5 × 4/4 = 4/20
2/4 × 5/5 = 10/20

Vocabulary: Equivalent fractions are fractions that represent the same value but have different numerators and denominators.

Highlight: When converting to equivalent fractions, multiply both the numerator and denominator by the same number to maintain the fraction's value.

$ADDING AND SUBTRACTING POSITIVE AND NEGATIVE FRACTIONS WITH UNLIKE DENOMINATORS To add or subtract fractions with different denominators, we$

View

Working with Negative Fractions

This page covers the specific case of working with negative fractions and subtracting fractions. The process involves understanding how signs affect the operations and final results.

Definition: The additive inverse of a fraction is the same fraction with the opposite sign.

Example: When subtracting fractions with denominator 12:

Converting subtraction to addition of the opposite
Determining the sign of the result based on the larger absolute value

Highlight: When working with negative fractions, pay special attention to signs and consider converting subtraction to addition of the opposite number.

$ADDING AND SUBTRACTING POSITIVE AND NEGATIVE FRACTIONS WITH UNLIKE DENOMINATORS To add or subtract fractions with different denominators, we$

View

Adding and Subtracting Fractions with Unlike Denominators

This page introduces the fundamental concept of working with fractions that have different denominators. The process begins with finding the least common multiple (LCM) of the denominators to create equivalent fractions.

Definition: Least Common Multiple (LCM) is the smallest positive number that is divisible by two or more numbers.

Example: For denominators 5 and 4:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45,...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,...
LCM = 20

Highlight: To add or subtract fractions with unlike denominators, always start by finding the LCM of the denominators.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

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Subjects

Arithmetic

Equations

Algebraic Equations Basics

Easy Fractions: Adding and Simplifying with Different Denominators

Clara Vandenbelt

@clara_tiara0

110 Followers

A comprehensive guide to how to add fractions with different denominators and handle negative fractions, focusing on using least common multiples (LCM) for fraction operations.

Learn to find the LCM of denominators to create equivalent fractions
Master the process of simplifying negative fractions with unlike denominators
Understand how to convert fractions to equivalent forms with common denominators
Practice using the step-by-step method to solve fraction problems
Apply techniques to both addition and subtraction of fractions

11/2/2023

177

6th/7th

Arithmetic

$ADDING AND SUBTRACTING POSITIVE AND NEGATIVE FRACTIONS WITH UNLIKE DENOMINATORS To add or subtract fractions with different denominators, we$

Converting to Equivalent Fractions

This page demonstrates how to create equivalent fractions using the LCM. The process involves multiplying both numerator and denominator by appropriate factors to achieve the common denominator.

Example: Converting fractions to equivalent forms with denominator 20:

1/5 × 4/4 = 4/20
2/4 × 5/5 = 10/20

Vocabulary: Equivalent fractions are fractions that represent the same value but have different numerators and denominators.

Highlight: When converting to equivalent fractions, multiply both the numerator and denominator by the same number to maintain the fraction's value.

$ADDING AND SUBTRACTING POSITIVE AND NEGATIVE FRACTIONS WITH UNLIKE DENOMINATORS To add or subtract fractions with different denominators, we$

Working with Negative Fractions

This page covers the specific case of working with negative fractions and subtracting fractions. The process involves understanding how signs affect the operations and final results.

Definition: The additive inverse of a fraction is the same fraction with the opposite sign.

Example: When subtracting fractions with denominator 12:

Converting subtraction to addition of the opposite
Determining the sign of the result based on the larger absolute value

Highlight: When working with negative fractions, pay special attention to signs and consider converting subtraction to addition of the opposite number.

$ADDING AND SUBTRACTING POSITIVE AND NEGATIVE FRACTIONS WITH UNLIKE DENOMINATORS To add or subtract fractions with different denominators, we$

Adding and Subtracting Fractions with Unlike Denominators

Definition: Least Common Multiple (LCM) is the smallest positive number that is divisible by two or more numbers.

Example: For denominators 5 and 4:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45,...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,...
LCM = 20

Highlight: To add or subtract fractions with unlike denominators, always start by finding the LCM of the denominators.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User