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Adding & Subtracting Rational Numbers

Fractions Made Easy: Simplifying, Comparing, and Calculating!

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Fractions Made Easy: Simplifying, Comparing, and Calculating!
user profile picture

Bill

@bill_uidw

·

105 Followers

Follow

A comprehensive guide to fundamental fraction operations covering simplification, comparison, and arithmetic operations.

  • Master the simplifying and comparing fractions technique through clear step-by-step instructions and practical examples
  • Learn adding and subtracting mixed numbers with detailed explanations of converting between mixed numbers and improper fractions
  • Understand the steps for multiplying and dividing fractions including cross-cancellation and working with reciprocals
  • Explore proper fractions, improper fractions, and mixed numbers with real-world applications
  • Practice with guided examples demonstrating each concept systematically

5/23/2023

178

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

View

Adding and Subtracting Fractions

This section covers the essential techniques for adding and subtracting fractions, with special attention to working with mixed numbers and common denominators.

Definition: Sum refers to addition while difference refers to subtraction in fraction operations.

Example: When adding fractions with common denominators, add only the numerators: 5/8 + 3/8 = 8/8 = 1

Highlight: Converting mixed numbers to improper fractions is crucial before performing addition or subtraction operations.

Vocabulary: Mixed number conversion involves multiplying the whole number by the denominator and adding the numerator.

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

View

Multiplying Fractions

The page details the systematic approach to multiplying fractions and mixed numbers effectively.

Definition: Cross canceling is the process of simplifying factors before multiplication.

Example: When multiplying fractions, multiply numerators together and denominators together: 1/3 × 3/1 = 3/3 = 1

Highlight: Always convert mixed numbers to improper fractions before multiplication.

Quote: "To multiply fractions or mixed numbers: 1. Rewrite mixed numbers and whole numbers as improper fractions. 2. Simplify factors if possible by cross canceling."

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

View

Dividing Fractions

This final section explains the KCF (Keep, Change, Flip) method for dividing fractions effectively.

Definition: The KCF method stands for Keep the first fraction, Change division to multiplication, Flip the second fraction.

Example: When dividing fractions, multiply by the reciprocal of the divisor: 1/2 ÷ 3 = 1/2 × 1/3

Highlight: Converting mixed numbers to improper fractions is essential before applying the KCF method.

Vocabulary: Reciprocal - the fraction obtained by flipping the numerator and denominator.

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

View

Understanding Fraction Basics

This page introduces fundamental concepts of fractions and their simplification. The content focuses on proper fractions, improper fractions, and mixed numbers, along with methods for simplifying and comparing them.

Definition: A fraction represents a part of a whole piece, consisting of a numerator (top number) and denominator (bottom number).

Example: When simplifying fractions, reduce by finding common factors. For instance, 42/14 simplifies to 3/1.

Vocabulary: Proper fraction - numerator is less than denominator; Improper fraction - numerator is greater than denominator; Mixed number - whole number with a proper fraction.

Highlight: To find equivalent fractions, multiply or divide both the numerator and denominator by the same non-zero number.

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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.

Ranked #1 Education App

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

Subjects

/

Arithmetic

/

Rational Numbers

/

Adding & Subtracting Rational Numbers

Fractions Made Easy: Simplifying, Comparing, and Calculating!

user profile picture

Bill

@bill_uidw

·

105 Followers

Follow

A comprehensive guide to fundamental fraction operations covering simplification, comparison, and arithmetic operations.

  • Master the simplifying and comparing fractions technique through clear step-by-step instructions and practical examples
  • Learn adding and subtracting mixed numbers with detailed explanations of converting between mixed numbers and improper fractions
  • Understand the steps for multiplying and dividing fractions including cross-cancellation and working with reciprocals
  • Explore proper fractions, improper fractions, and mixed numbers with real-world applications
  • Practice with guided examples demonstrating each concept systematically

5/23/2023

178

 

7th

 

Arithmetic

9

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Adding and Subtracting Fractions

This section covers the essential techniques for adding and subtracting fractions, with special attention to working with mixed numbers and common denominators.

Definition: Sum refers to addition while difference refers to subtraction in fraction operations.

Example: When adding fractions with common denominators, add only the numerators: 5/8 + 3/8 = 8/8 = 1

Highlight: Converting mixed numbers to improper fractions is crucial before performing addition or subtraction operations.

Vocabulary: Mixed number conversion involves multiplying the whole number by the denominator and adding the numerator.

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Multiplying Fractions

The page details the systematic approach to multiplying fractions and mixed numbers effectively.

Definition: Cross canceling is the process of simplifying factors before multiplication.

Example: When multiplying fractions, multiply numerators together and denominators together: 1/3 × 3/1 = 3/3 = 1

Highlight: Always convert mixed numbers to improper fractions before multiplication.

Quote: "To multiply fractions or mixed numbers: 1. Rewrite mixed numbers and whole numbers as improper fractions. 2. Simplify factors if possible by cross canceling."

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Dividing Fractions

This final section explains the KCF (Keep, Change, Flip) method for dividing fractions effectively.

Definition: The KCF method stands for Keep the first fraction, Change division to multiplication, Flip the second fraction.

Example: When dividing fractions, multiply by the reciprocal of the divisor: 1/2 ÷ 3 = 1/2 × 1/3

Highlight: Converting mixed numbers to improper fractions is essential before applying the KCF method.

Vocabulary: Reciprocal - the fraction obtained by flipping the numerator and denominator.

➜ Simplifying & Comparing Fractions. Fraction represents a part of a whole piece. numerator denominator Ź 3/353 proper fraction Examples: Si

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Understanding Fraction Basics

This page introduces fundamental concepts of fractions and their simplification. The content focuses on proper fractions, improper fractions, and mixed numbers, along with methods for simplifying and comparing them.

Definition: A fraction represents a part of a whole piece, consisting of a numerator (top number) and denominator (bottom number).

Example: When simplifying fractions, reduce by finding common factors. For instance, 42/14 simplifies to 3/1.

Vocabulary: Proper fraction - numerator is less than denominator; Improper fraction - numerator is greater than denominator; Mixed number - whole number with a proper fraction.

Highlight: To find equivalent fractions, multiply or divide both the numerator and denominator by the same non-zero number.

Similar Content

Arithmetic - Mean, Median, Mode, Range, and MAD

Simple instructions on finding mean, median, range, mode, and MAD

424

906

5

Know Mean, Median, Mode, Range, and MAD thumbnail

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.

Ranked #1 Education App

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