adding and Subtracting
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poohThe document explains how to add and subtract fractions with different denominators. It describes finding the least common multiple (LCM) of the denominators, which allows converting the fractions to equivalent fractions with a common denominator. It then demonstrates adding 2/3 + 3/9 and subtracting 5/10 - 3/20 as examples, showing the steps of finding the LCM, converting the fractions, and then adding or subtracting the numerators over the common denominator.
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1. This document provides instructions for adding fractions with common and unlike denominators. It explains that for common denominators, you add the numerators and keep the denominators the same.
2. For unlike denominators, you need to find a common denominator using the least common multiple (LCM) of the denominators. You multiply the numerator and denominator of each fraction by the LCM to obtain equivalent fractions with a common denominator that can be added.
3. The document provides examples of finding the LCM of different number pairs and using it to convert fractions to equivalent fractions with a common denominator to allow addition.
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To add or subtract fractions with unlike denominators:
1. Find the least common multiple (LCM) of the denominators.
2. Write the fractions with this LCM as the new denominator by multiplying the numerators and denominators.
3. Add or subtract the new numerators and put over the common denominator.
4. Simplify the final fraction if possible by dividing the numerator and denominator by common factors.
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This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.
Adding And Subtracting Fraction Notes For Web
To add or subtract fractions with like denominators, add or subtract the numerators and keep the same denominators, simplifying the resulting fraction if needed. There are two types of fractions: proper fractions where the numerator is smaller than the denominator, and improper fractions where the numerator is greater than or equal to the denominator. For improper fractions, the answer must be simplified by dividing.
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To add or subtract fractions with unlike denominators:
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This document provides steps for adding fractions with unlike denominators:
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To add or subtract fractions with like denominators, add or subtract the numerators and keep the same denominators, simplifying the resulting fraction if needed. There are two types of fractions: proper fractions where the numerator is smaller than the denominator, and improper fractions where the numerator is greater than or equal to the denominator. For improper fractions, the answer must be simplified by dividing.
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1. Adding Fractions with Common Denominators
Add the Numerators.
Keep the Denominators the same.
2. Practice time
3. Reduce or simplify if necessary…
4. Adding Fractions with Unlike Denominators
5.Find a common denominator using LCM.
Multiply numerator and denominator by LCM.
Add the converted fractions.
6. Least Common Multiple
7. We need to create fractions with like denominators in order to add these fractions. This is where we need LCM (Least Common Multiples)
8. The first common multiple is the Least Common Multiple
This will become the new denominators in order to create like denominators to add fractions.
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6:
5:
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Explain a simplified fraction
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1. Adding Fractions with Common Denominators
Add the Numerators.
Keep the Denominators the same.
2. Practice time
3. Reduce or simplify if necessary…
4. Adding Fractions with Unlike Denominators
5.Find a common denominator using LCM.
Multiply numerator and denominator by LCM.
Add the converted fractions.
6. Least Common Multiple
7. We need to create fractions with like denominators in order to add these fractions. This is where we need LCM (Least Common Multiples)
8. The first common multiple is the Least Common Multiple
This will become the new denominators in order to create like denominators to add fractions.
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Multiples of 4: 4, 8, 12, 16, 20, 24, 28
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6:
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The document provides information about fractions including:
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van Emden shows how Nx can simplify the developer’s life and facilitate a rapid transition from concept to production-ready applications.He provides valuable insights into developing scalable and efficient edge AI solutions, with a strong focus on practical implementation.AI 101: An Introduction to the Basics and Impact of Artificial Intelligence
Imagine a world where machines not only perform tasks but also learn, adapt, and make decisions. This is the promise of Artificial Intelligence (AI), a technology that's not just enhancing our lives but revolutionizing entire industries.
Building Production Ready Search Pipelines with Spark and Milvus
Spark is the widely used ETL tool for processing, indexing and ingesting data to serving stack for search. Milvus is the production-ready open-source vector database. In this talk we will show how to use Spark to process unstructured data to extract vector representations, and push the vectors to Milvus vector database for search serving.
Artificial Intelligence for XMLDevelopment
In the rapidly evolving landscape of technologies, XML continues to play a vital role in structuring, storing, and transporting data across diverse systems. The recent advancements in artificial intelligence (AI) present new methodologies for enhancing XML development workflows, introducing efficiency, automation, and intelligent capabilities. This presentation will outline the scope and perspective of utilizing AI in XML development. The potential benefits and the possible pitfalls will be highlighted, providing a balanced view of the subject.
We will explore the capabilities of AI in understanding XML markup languages and autonomously creating structured XML content. Additionally, we will examine the capacity of AI to enrich plain text with appropriate XML markup. Practical examples and methodological guidelines will be provided to elucidate how AI can be effectively prompted to interpret and generate accurate XML markup.
Further emphasis will be placed on the role of AI in developing XSLT, or schemas such as XSD and Schematron. We will address the techniques and strategies adopted to create prompts for generating code, explaining code, or refactoring the code, and the results achieved.
The discussion will extend to how AI can be used to transform XML content. In particular, the focus will be on the use of AI XPath extension functions in XSLT, Schematron, Schematron Quick Fixes, or for XML content refactoring.
The presentation aims to deliver a comprehensive overview of AI usage in XML development, providing attendees with the necessary knowledge to make informed decisions. Whether you’re at the early stages of adopting AI or considering integrating it in advanced XML development, this presentation will cover all levels of expertise.
By highlighting the potential advantages and challenges of integrating AI with XML development tools and languages, the presentation seeks to inspire thoughtful conversation around the future of XML development. We’ll not only delve into the technical aspects of AI-powered XML development but also discuss practical implications and possible future directions.
20240607 QFM018 Elixir Reading List May 2024
Everything I found interesting about the Elixir programming ecosystem in May 2024
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdf
Discover how MongoDB Atlas and vector search technology can revolutionize your application's search capabilities. This comprehensive presentation covers:
* What is Vector Search?
* Importance and benefits of vector search
* Practical use cases across various industries
* Step-by-step implementation guide
* Live demos with code snippets
* Enhancing LLM capabilities with vector search
* Best practices and optimization strategies
Perfect for developers, AI enthusiasts, and tech leaders. Learn how to leverage MongoDB Atlas to deliver highly relevant, context-aware search results, transforming your data retrieval process. Stay ahead in tech innovation and maximize the potential of your applications.
#MongoDB #VectorSearch #AI #SemanticSearch #TechInnovation #DataScience #LLM #MachineLearning #SearchTechnology
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-und-domino-lizenzkostenreduzierung-in-der-welt-von-dlau/
DLAU und die Lizenzen nach dem CCB- und CCX-Modell sind für viele in der HCL-Community seit letztem Jahr ein heißes Thema. Als Notes- oder Domino-Kunde haben Sie vielleicht mit unerwartet hohen Benutzerzahlen und Lizenzgebühren zu kämpfen. Sie fragen sich vielleicht, wie diese neue Art der Lizenzierung funktioniert und welchen Nutzen sie Ihnen bringt. Vor allem wollen Sie sicherlich Ihr Budget einhalten und Kosten sparen, wo immer möglich. Das verstehen wir und wir möchten Ihnen dabei helfen!
Wir erklären Ihnen, wie Sie häufige Konfigurationsprobleme lösen können, die dazu führen können, dass mehr Benutzer gezählt werden als nötig, und wie Sie überflüssige oder ungenutzte Konten identifizieren und entfernen können, um Geld zu sparen. Es gibt auch einige Ansätze, die zu unnötigen Ausgaben führen können, z. B. wenn ein Personendokument anstelle eines Mail-Ins für geteilte Mailboxen verwendet wird. Wir zeigen Ihnen solche Fälle und deren Lösungen. Und natürlich erklären wir Ihnen das neue Lizenzmodell.
Nehmen Sie an diesem Webinar teil, bei dem HCL-Ambassador Marc Thomas und Gastredner Franz Walder Ihnen diese neue Welt näherbringen. Es vermittelt Ihnen die Tools und das Know-how, um den Überblick zu bewahren. Sie werden in der Lage sein, Ihre Kosten durch eine optimierte Domino-Konfiguration zu reduzieren und auch in Zukunft gering zu halten.
Diese Themen werden behandelt
- Reduzierung der Lizenzkosten durch Auffinden und Beheben von Fehlkonfigurationen und überflüssigen Konten
- Wie funktionieren CCB- und CCX-Lizenzen wirklich?
- Verstehen des DLAU-Tools und wie man es am besten nutzt
- Tipps für häufige Problembereiche, wie z. B. Team-Postfächer, Funktions-/Testbenutzer usw.
- Praxisbeispiele und Best Practices zum sofortigen Umsetzen
Introduction of Cybersecurity with OSS at Code Europe 2024
I develop the Ruby programming language, RubyGems, and Bundler, which are package managers for Ruby. Today, I will introduce how to enhance the security of your application using open-source software (OSS) examples from Ruby and RubyGems.
The first topic is CVE (Common Vulnerabilities and Exposures). I have published CVEs many times. But what exactly is a CVE? I'll provide a basic understanding of CVEs and explain how to detect and handle vulnerabilities in OSS.
Next, let's discuss package managers. Package managers play a critical role in the OSS ecosystem. I'll explain how to manage library dependencies in your application.
I'll share insights into how the Ruby and RubyGems core team works to keep our ecosystem safe. By the end of this talk, you'll have a better understanding of how to safeguard your code.
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adding and Subtracting
- 1. Adding Subtracting with Different Denominators By KC
- 2. 2/3 + 3/9 To find the answer you have to find the LCM. The LCM is 9 because 3X3 equals 9. You times the 3X3 so you have to times number 2 by 3, so you get 6/9 + 3/9.
- 3. 3/9 + 6/9 9/9 =1 I got an answer of 1 out of 2/3 + 3/9. I got the answer 1 because you times 3x3 to get LCM. When you have got the LCM, you have to times 2 by 3 so it becomes 3/9 + 6/9. When you have the LCM you just add the top number and keep the bottom number same.
- 4. 5/10 - 3/20 To find the answer you have to find the LCM. The LCM is 20 because 10X2 equals to 20. You have to time 10by2 because you need to get LCM, so it is 10/20-3/20.
- 5. 10/20 – 3/20 = 7/20 I got 7/20 for an answer from 5/10 - 3/20because you times 10 by 2 so you can get a LCM. Then you have to times 5 by 2 because you had multiplied 10 by 2. After you get the LCM you just subtract the top number and the keep the bottom number same.