Fractions

• What is the first step in multiplying fractions?


  Multiply both the numerators and denominators together separately
• What is the product of $\frac{7}{15}$ and $\frac{3}{4}$?


  $\frac{21}{60}$
• Why do you need to simplify the answer when multiplying fractions?

  Because exams typically require the answer in its simplest form
• How do you simplify $\frac{21}{60}$?


  By dividing both the numerator and denominator by 3
• What is the simplified form of $\frac{21}{60}$?


  $\frac{7}{20}$
• What is the product of $\frac{4}{7}$ and $\frac{9}{5}$?


  $\frac{36}{35}$
• Why is it easier to multiply a mixed number by a fraction after converting it to an improper fraction?

  Because it simplifies the multiplication process
• How do you convert the mixed number $2 \frac{3}{4}$ to an improper fraction?


  By multiplying 2 by 4 and adding 3 to get $\frac{11}{4}$
• What is the product of $\frac{4}{5}$ and $\frac{11}{4}$?


  $\frac{44}{20}$
• How do you simplify $\frac{44}{20}$?


  By dividing both the numerator and denominator by 4
• What is the simplified form of $\frac{44}{20}$?


  $\frac{11}{5}$
• What happens when you multiply two fractions that are less than one?

  You get an even smaller number
• What is the product of $\frac{1}{2}$ and $\frac{1}{3}$?


  $\frac{1}{6}$
• What is the first step in dividing fractions?

  Flip the second fraction upside down
• What is $\frac{3}{4} \div \frac{5}{9}$ after flipping the second fraction?


  $\frac{3}{4} \times \frac{9}{5}$
• What is the result of $\frac{3}{4} \times \frac{9}{5}$?


  $\frac{27}{20}$
• Can $\frac{27}{20}$ be simplified?


  No, it cannot be simplified
• What is $\frac{2}{3} \div \frac{4}{5}$ after flipping the second fraction?


  $\frac{2}{3} \times \frac{5}{4}$
• What is the result of $\frac{2}{3} \times \frac{5}{4}$?


  $\frac{10}{12}$
• How do you simplify $\frac{10}{12}$?


  By dividing both the numerator and denominator by 2
• What is the simplified form of $\frac{10}{12}$?


  $\frac{5}{6}$
• How do you convert $\frac{35}{4}$ to a mixed number?


  By dividing 35 by 4 to get 8 remainder 3
• What is the mixed number form of $\frac{35}{4}$?


  8 and $\frac{3}{4}$
• What are the steps to multiply fractions?

  1. Multiply the numerators together.
  2. Multiply the denominators together.
  3. Simplify the result if necessary.
• What are the steps to divide fractions?

  1. Flip the second fraction upside down.
  2. Change the division to multiplication.
  3. Multiply the fractions together.
  4. Simplify the result if necessary.
• What is the process to convert a mixed number to an improper fraction?

  1. Multiply the whole number by the denominator.
  2. Add the numerator to the result.
  3. Place the result over the original denominator.
• What is the significance of simplifying fractions?

  • Provides the answer in its simplest form.
  • Makes it easier to understand and compare fractions.
  • Often required in exams.