Understanding Fractions
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Questions and Answers

What is the total distance Roitwalk travels in a day?

  • 9 km (correct)
  • 5 km
  • 4 km
  • 3 km
  • What is the least common multiple (LCM) of 5 and 7?

  • 12
  • 15
  • 35 (correct)
  • 42
  • What happens when you subtract 0 from a fraction?

  • The fraction remains the same (correct)
  • The fraction is eliminated
  • The value becomes negative
  • The fraction increases in value
  • In addition, how is the order of the terms impacted?

    <p>It can be changed</p> Signup and view all the answers

    Which statement regarding Preeti and Roitwalk's purchases is true?

    <p>Preeti bought more ribbon than Roitwalk</p> Signup and view all the answers

    If two fractions are equivalent, what can be said about their numerators and denominators?

    <p>They are proportional.</p> Signup and view all the answers

    What is the highest common factor (HCF) of 15 and 20?

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

    What is the total length of Maya's red and green ribbons combined?

    <p>7 m</p> Signup and view all the answers

    Which of the following pairs of numbers can form equivalent fractions through division?

    <p>10 and 20</p> Signup and view all the answers

    What is the weight of the other book if the combined weight of two books is 3.4 kg and one book weighs 1 kg?

    <p>2.4 kg</p> Signup and view all the answers

    What is the result of subtracting the fraction 1/21 from 5/13?

    <p>10/273</p> Signup and view all the answers

    What is the result when you add the fractions 3/10 and 7/10?

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

    What is the total length of cloth purchased by Nina and Rajan?

    <p>54 meters</p> Signup and view all the answers

    How many meters more cloth did Rajan buy compared to Nina?

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

    If you subtract the sum of 3 and 23 from the sum of 24 and 53, what is the result?

    <p>7</p> Signup and view all the answers

    What is the first step in reducing a fraction to its lowest terms?

    <p>Divide both the numerator and denominator by their common factors</p> Signup and view all the answers

    Which pair of numbers are considered coprime?

    <p>5 and 9</p> Signup and view all the answers

    What does the term 'improper fraction' refer to?

    <p>A fraction where the numerator is greater than or equal to the denominator</p> Signup and view all the answers

    What is a common factor of 24 and 36?

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

    When the fraction $\frac{13}{24}$ is reduced, what is its lowest term?

    <p>$\frac{13}{24}$</p> Signup and view all the answers

    What is the result of reducing the fraction $\frac{36}{42}$ to its lowest terms?

    <p>$\frac{3}{7}$</p> Signup and view all the answers

    Which calculation correctly reduces the fraction $\frac{24}{36}$ to its lowest terms?

    <p>$\frac{2}{3}$</p> Signup and view all the answers

    Which of the following is a mixed fraction representation of the improper fraction $\frac{13}{6}$?

    <p>2 $\frac{1}{6}$</p> Signup and view all the answers

    What is the first step in adding mixed fractions?

    <p>Convert the mixed fractions into improper fractions.</p> Signup and view all the answers

    In the example provided, what is the LCM of 8, 3, and 12 used for?

    <p>To find the least common denominator for addition or subtraction.</p> Signup and view all the answers

    When subtracting mixed fractions, what must you do if the first fraction is smaller than the second?

    <p>Borrow from the whole number part of the first fraction.</p> Signup and view all the answers

    After finding the LCM for adding or subtracting fractions, what is the next step?

    <p>Multiply each fraction by the necessary factors to ensure they have the same denominator.</p> Signup and view all the answers

    In the calculation of $2 \frac{3}{8} + \frac{2}{12}$, which factor should be used to convert to a common denominator?

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

    What is the result of subtracting $1 \frac{5}{7} - \frac{4}{7}$?

    <p>$\frac{1}{7}$</p> Signup and view all the answers

    What does converting improper fractions back to mixed fractions allow you to do?

    <p>Present the result in a more understandable format.</p> Signup and view all the answers

    What is the mixed fraction equivalent of the improper fraction $\frac{31}{12}$?

    <p>$2 \frac{7}{12}$</p> Signup and view all the answers

    What is the simplest form of the fraction 28?

    <p>14/1</p> Signup and view all the answers

    When comparing the fractions 12/7 and 12/5, which fraction is greater?

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

    Which fraction is expressed in the lowest terms: 38/64?

    <p>19/32</p> Signup and view all the answers

    Which of the following statements is true for fractions with the same denominators?

    <p>The fraction with the larger numerator is greater.</p> Signup and view all the answers

    Which fraction represents a smaller value: 38/12 or 28/64?

    <p>28/64</p> Signup and view all the answers

    What is the greatest common factor of 92 and 19?

    <p>19</p> Signup and view all the answers

    How would you arrange the numbers 2, 7, 4 in descending order?

    <p>7, 4, 2</p> Signup and view all the answers

    If two fractions have the same numerator, what determines which one is greater?

    <p>The smaller denominator.</p> Signup and view all the answers

    Study Notes

    Fractions

    • A fraction represents a part or parts of a whole.
    • A fraction is in the form numerator/denominator, where the denominator is not zero

    Types of Fractions

    • Like Fractions: Fractions with the same denominators
    • Unlike Fractions: Fractions with different denominators
    • Unit Fractions: Fractions where the numerator is 1
    • Proper Fractions: Fractions where the numerator is less than the denominator
    • Improper Fractions: Fractions where the numerator is greater than or equal to the denominator

    Equivalent Fractions

    • Equivalent fractions have the same value but represent different portions of a whole.
    • Equivalent fractions can be created by multiplying (or dividing) both the numerator and denominator by the same number.

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    Fractions PDF - Lesson 7

    Description

    This quiz explores the concept of fractions, including their definition and types. You'll learn about like, unlike, unit, proper, and improper fractions, as well as equivalent fractions and how to create them. Test your knowledge and understanding of these essential mathematical concepts.

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