Multiplication of Fractions
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Questions and Answers

What is the reciprocal of $3/4$?

  • $1/3$
  • $4/3$ (correct)
  • $3/4$
  • $1/4$

    • What is $2/5 ÷ 3/7$ equal to?

  • $14/15$ (correct)
  • $10/21$
  • $7/15$
  • $6/35$

    • How do you find the reciprocal of a number?

  • Multiply the number by 1
  • Subtract the number from 1
  • Divide 1 by the number (correct)
  • Add 1 to the number

    • What is the reciprocal of 2.5?

    <p>0.4</p> Signup and view all the answers

    How do you multiply fractions?

    <p>Multiply numerators together and denominators together</p> Signup and view all the answers

    What must be done before multiplying mixed numbers?

    <p>Change them to improper fractions</p> Signup and view all the answers

    What is the reciprocal of $3 2/5$?

    <p>$5/17$</p> Signup and view all the answers

    What happens to the value of a fraction if both numerator and denominator are multiplied by the same number?

    <p>It remains unaltered</p> Signup and view all the answers

    What is the reciprocal of 0.25?

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

    Which of these statements about reciprocals is true?

    <p>The product of a number and its reciprocal is always 1</p> Signup and view all the answers

    Study Notes

    Working with Fractions

    • A fraction remains unchanged when both its numerator and denominator are multiplied by the same number.

    Multiplication of Fractions

    • To multiply fractions, multiply the numerators together and the denominators together.
    • Mixed numbers must be converted to improper fractions before multiplication.
    • Cancel common factors between the numerator and denominator prior to multiplication.

    Reciprocals

    • Two numbers are reciprocals if their product equals 1.
    • Example: 1/3 and 3 are reciprocals since ( \frac{1}{3} \times 3 = 1 ).
    • The reciprocal of a fraction is found by inverting it. For instance, the reciprocal of 3/4 is 4/3.
    • Any number can be expressed as a fraction, e.g., 3 can be written as 3/1.
    • The reciprocal of 3/1 is 1/3, while the reciprocal of 2.5/1 is 0.4 (or 1/2.5).

    Division by a Fraction

    • Dividing by a fraction entails multiplying by its reciprocal.
    • Example: For ( \frac{2}{5} \div \frac{3}{7} ), convert it to ( \frac{2}{5} \times \frac{7}{3} ) to get ( \frac{14}{15} ).

    Exercises on Reciprocals

    • The reciprocals for specific numbers can be captured in a table format, showcasing the number alongside its reciprocal, e.g.:
      • 1 has a reciprocal of 1,
      • 2.5 has a reciprocal of 0.4,
      • 4 has a reciprocal of 0.25, etc.

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    Description

    Quiz on multiplying fractions, including changing mixed numbers to improper fractions and cancelling common factors.

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