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Lesson 3: Adding and Subtracting Fractions
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Lesson 3: Adding and Subtracting Fractions

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Questions and Answers

What is a fraction?

  • A fraction is a unit of measurement for length.
  • A fraction is part of a whole and shows how much of something you have. (correct)
  • A fraction is a type of decimal.
  • A fraction is used to represent whole numbers only.
  • When might you need to add or subtract fractions?

  • When converting fractions to decimals
  • When working with quantities that are only in whole numbers
  • When working with units of measurement for weight
  • When dealing with real-life situations involving parts of a whole (correct)
  • Which operation is demonstrated in the example: 'drained 1/4 of a quart of gas from a gas tank that had 3/4 of a quart in it'?

  • Multiplication
  • Subtraction (correct)
  • Division
  • Addition
  • What do 4/10 and 3/10 represent in the context of running distance?

    <p>Fraction of the total distance run</p> Signup and view all the answers

    What does '7/8 of a stick of butter' mean in terms of quantity?

    <p>Almost a whole stick of butter</p> Signup and view all the answers

    What does '2/5 full' represent in the context of the gas tank?

    <p>Almost empty tank</p> Signup and view all the answers

    What is the first step in subtracting fractions with different denominators?

    <p>Find the lowest common denominator (LCD)</p> Signup and view all the answers

    What is the key requirement for adding or subtracting fractions?

    <p>Both fractions should have the same denominator</p> Signup and view all the answers

    What is necessary before adding or subtracting fractions with different denominators?

    <p>Find the lowest common denominator (LCD)</p> Signup and view all the answers

    What is an improper fraction?

    <p>A fraction with a numerator larger than the denominator</p> Signup and view all the answers

    Why do fractions need to have the same denominator for addition or subtraction?

    <p>To ensure accurate results</p> Signup and view all the answers

    What is a mixed number?

    <p>A number that includes both a fraction and a whole number</p> Signup and view all the answers

    What happens after finding the lowest common denominator (LCD) for fractions?

    <p>The fractions can be added or subtracted as usual</p> Signup and view all the answers

    Why do we convert mixed numbers to improper fractions before adding or subtracting?

    <p>To ensure consistent representation of numbers</p> Signup and view all the answers

    What is the purpose of finding the lowest common denominator before adding or subtracting fractions?

    <p>To ensure accurate calculations</p> Signup and view all the answers

    What do you need to do before adding or subtracting fractions with different denominators?

    <p>Find the lowest common denominator (LCD)</p> Signup and view all the answers

    According to Republic Act 8293, Section 176, what is required if an article is to be found?

    <p>Consent of the agency or government office providing authorization</p> Signup and view all the answers

    What is the consequence of reproducing any part of the material without permission?

    <p>Claim of copyright by the publishers and authors</p> Signup and view all the answers

    Who is responsible for setting appropriate fees for using copyrighted materials?

    <p>Agency or government office providing authorization</p> Signup and view all the answers

    What is required before using any material beyond the scope of the module?

    <p>Permission of the original owners or author</p> Signup and view all the answers

    What is emphasized in relation to the use of any part of the material?

    <p>Permission of the original owners or author</p> Signup and view all the answers

    Who may claim copyright for using any part of the material?

    <p>Publishers and authors</p> Signup and view all the answers

    What medium of painting is a mixture of ground pigments and an aluminous and colloidal vehicle, either egg, gum or glue, and is usually done on a wooden panel that has been made smooth with a coating plaster?

    <p>Tempera</p> Signup and view all the answers

    Which medium of painting possesses color that only covers the surface of light, gives no glazed effect, and most closely resembles dry pigment?

    <p>Tempera</p> Signup and view all the answers

    Which two-dimensional art form is made up of layers of pigments applied onto a surface?

    <p>Painting</p> Signup and view all the answers

    In which medium of painting are the pigments mixed in oil, and the surface used is usually canvass although other surfaces like wood, paper, and metal may be used?

    <p>Oil</p> Signup and view all the answers

    In which medium of painting are the pigments mixed with water and applied to fine, white paper in very thin layers?

    <p>Water Color</p> Signup and view all the answers

    Study Notes

    Fractions

    • A fraction is a way to represent a part of a whole.
    • You need to add or subtract fractions when you're dealing with quantities that are not whole units.
    • The example 'drained 1/4 of a quart of gas from a gas tank that had 3/4 of a quart in it' demonstrates subtraction of fractions.
    • 4/10 and 3/10 represent running distances of 4 and 3 units out of 10 units respectively.
    • '7/8 of a stick of butter' means 7 units out of 8 units of a whole stick of butter.
    • '2/5 full' represents a gas tank that is 2 units out of 5 units full.
    • The first step in subtracting fractions with different denominators is to find the lowest common denominator (LCD).
    • The key requirement for adding or subtracting fractions is that they must have the same denominator.
    • Before adding or subtracting fractions with different denominators, you need to find the lowest common denominator (LCD).
    • An improper fraction is a fraction where the numerator is greater than the denominator.
    • Fractions need to have the same denominator for addition or subtraction because it allows you to compare the same parts of the whole.
    • A mixed number is a combination of a whole number and a fraction.
    • After finding the lowest common denominator (LCD) for fractions, you can convert them to equivalent fractions with the LCD.
    • You need to convert mixed numbers to improper fractions before adding or subtracting because it makes it easier to perform the operation.
    • The purpose of finding the lowest common denominator before adding or subtracting fractions is to make it possible to compare the same parts of the whole.
    • According to Republic Act 8293, Section 176, permission is required to reproduce any part of the material.
    • The consequence of reproducing any part of the material without permission is copyright infringement.
    • The government is responsible for setting appropriate fees for using copyrighted materials.
    • You need to get permission before using any material beyond the scope of the module.
    • It is emphasized that permission is required for using any part of the material.
    • The creator of the material may claim copyright for using any part of the material.

    Art

    • The medium of painting that is a mixture of ground pigments and an aluminous and colloidal vehicle, either egg, gum or glue, and is usually done on a wooden panel is tempera.
    • The medium of painting that possesses color that only covers the surface of light, gives no glazed effect, and most closely resembles dry pigment is fresco.
    • A painting that is made up of layers of pigments applied onto a surface is a two-dimensional art form.
    • The medium of painting where the pigments are mixed in oil, and the surface used is usually canvass although other surfaces like wood, paper, and metal may be used is oil painting.
    • The medium of painting where the pigments are mixed with water and applied to fine, white paper in very thin layers is watercolor painting.

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    Description

    Learn the basics of adding and subtracting fractions, which are essential in real-life scenarios like measuring distances and quantities of liquids. This lesson covers practical examples of adding and subtracting fractions to help you understand how to apply these concepts in everyday situations.

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