Fraction Operations Quiz
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Questions and Answers

What is the result of the multiplication $\frac{5}{3} \times \frac{18}{19}$?

  • $\frac{60}{19}$
  • $\frac{18}{19}$
  • $\frac{30}{57}$
  • $\frac{90}{57}$ (correct)
  • How do you calculate $\frac{4}{9} \div \frac{3}{5}$?

  • $\frac{20}{27}$ (correct)
  • $\frac{12}{35}$
  • $\frac{15}{36}$
  • $\frac{4}{27}$
  • What is the result of $\frac{3}{5} + \frac{17}{6}$?

  • $\frac{49}{30}$
  • $\frac{68}{30}$
  • $\frac{23}{30}$
  • $\frac{103}{30}$ (correct)
  • What is the value of $2 \frac{1}{4} \times 1 \frac{1}{2}$?

    <p>$3 \frac{5}{8}$</p> Signup and view all the answers

    What is the result of $\frac{13}{9} \div \frac{1}{6}$?

    <p>$\frac{78}{9}$</p> Signup and view all the answers

    Study Notes

    Fraction Operations

    • Multiplication: Multiply the numerators together and the denominators together. Example: (5/3) x (18/19) = (5 x 18) / (3 x 19).

    • Addition: Find a common denominator, add the numerators, and keep the denominator. Example: (4/9) + (3/5) = (20/45) + (27/45) = 47/45.

    • Subtraction: Find a common denominator, subtract the numerators, and keep the denominator. Example: (3/5) - (17/6) = (18/30) - (85/30) = -67/30.

    • Division: Multiply the first fraction by the reciprocal of the second fraction. Example: (2/4) ÷ (1/4) = (2/4) x (4/1) = 8/4 = 2

    • Mixed Numbers:

      • Convert mixed numbers to improper fractions before performing operations. Example: 2 1/4 = (2 * 4 + 1)/4 = 9/4

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    Description

    Test your knowledge on various operations with fractions, including multiplication, addition, subtraction, and division. This quiz also covers converting mixed numbers into improper fractions for easier calculations. Perfect for students learning fraction operations!

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