Adding Fractions with Same and Different Denominators
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Questions and Answers

What is the result of adding 1/4 and 2/4?

  • 1/2
  • 5/4
  • 3/4 (correct)
  • 1/8
  • What is the least common multiple (LCM) of 4 and 6?

  • 8
  • 12 (correct)
  • 10
  • 20
  • How can we visually represent the sum of fractions?

  • Using a number line
  • Using a chart
  • Dividing a rectangle or area (correct)
  • Using a graph
  • What is the result of subtracting 2/4 from 3/4?

    <p>1/4</p> Signup and view all the answers

    What is the result of adding 1/6 and 2/8?

    <p>5/24</p> Signup and view all the answers

    What is the result of subtracting 2/6 from 3/4?

    <p>5/12</p> Signup and view all the answers

    What is the result of adding 1/8 and 2/8?

    <p>3/8</p> Signup and view all the answers

    What is the result of subtracting 1/8 from 3/8?

    <p>2/8</p> Signup and view all the answers

    Study Notes

    Adición De Fracciones Con Igual Denominador

    • Para sumar fracciones con igual denominador, se suman los numeradores y se mantiene el mismo denominador.
    • Ejemplo: 1/4 + 2/4 = 3/4
    • Se pueden sumar varias fracciones con igual denominador, sumando los numeradores y manteniendo el denominador.

    Adición De Fracciones Con Distinto Denominador

    • Para sumar fracciones con distinto denominador, se necesitan encontrar el mínimo común múltiplo (mcm) de los denominadores.
    • Se convierten las fracciones al mismo denominador (mcm) y se suman los numeradores.
    • Ejemplo: 1/4 + 1/6 = ?
      • mcm de 4 y 6 es 12
      • Convertimos las fracciones: 3/12 + 2/12 = 5/12
    • Se pueden sumar varias fracciones con distinto denominador, encontrando el mcm y sumando los numeradores.

    Representación Gráfica De Sumas De Fracciones

    • Se puede representar gráficamente la suma de fracciones mediante rectángulos o áreas divididas.
    • Cada fracción se representa como una parte de un todo, y la suma se representa como la unión de las partes.
    • La representación gráfica ayuda a visualizar la suma y a comprender mejor el concepto.

    Resta De Fracciones Con Igual Denominador

    • Para restar fracciones con igual denominador, se restan los numeradores y se mantiene el mismo denominador.
    • Ejemplo: 3/4 - 2/4 = 1/4
    • Se pueden restar varias fracciones con igual denominador, restando los numeradores y manteniendo el denominador.

    Resta De Fracciones Con Distinto Denominador

    • Para restar fracciones con distinto denominador, se necesitan encontrar el mínimo común múltiplo (mcm) de los denominadores.
    • Se convierten las fracciones al mismo denominador (mcm) y se restan los numeradores.
    • Ejemplo: 3/4 - 2/6 = ?
      • mcm de 4 y 6 es 12
      • Convertimos las fracciones: 9/12 - 4/12 = 5/12
    • Se pueden restar varias fracciones con distinto denominador, encontrando el mcm y restando los numeradores.

    Adding Fractions with the Same Denominator

    • To add fractions with the same denominator, add the numerators and keep the same denominator.
    • Example: 1/4 + 2/4 = 3/4
    • Multiple fractions with the same denominator can be added by adding the numerators and keeping the denominator.

    Adding Fractions with Different Denominators

    • To add fractions with different denominators, find the least common multiple (LCM) of the denominators.
    • Convert the fractions to the same denominator (LCM) and add the numerators.
    • Example: 1/4 + 1/6 = ?; LCM of 4 and 6 is 12
      • Convert the fractions: 3/12 + 2/12 = 5/12
    • Multiple fractions with different denominators can be added by finding the LCM and adding the numerators.

    Graphical Representation of the Sum of Fractions

    • The sum of fractions can be graphically represented using rectangles or divided areas.
    • Each fraction is represented as a part of a whole, and the sum is represented as the union of the parts.
    • The graphical representation helps visualize the sum and better understand the concept.

    Subtracting Fractions with the Same Denominator

    • To subtract fractions with the same denominator, subtract the numerators and keep the same denominator.
    • Example: 3/4 - 2/4 = 1/4
    • Multiple fractions with the same denominator can be subtracted by subtracting the numerators and keeping the denominator.

    Subtracting Fractions with Different Denominators

    • To subtract fractions with different denominators, find the least common multiple (LCM) of the denominators.
    • Convert the fractions to the same denominator (LCM) and subtract the numerators.
    • Example: 3/4 - 2/6 = ?; LCM of 4 and 6 is 12
      • Convert the fractions: 9/12 - 4/12 = 5/12
    • Multiple fractions with different denominators can be subtracted by finding the LCM and subtracting the numerators.

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    Description

    Learn how to add fractions with same and different denominators, including finding the least common multiple (LCM) of denominators.

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