fractions into mixed numbers

• What are improper fractions?

  Improper fractions are whole numbers in disguise, such as:

  • 4/2
  • 9/3
  • 100/10
• What is the relationship between mixed numbers and improper fractions?

  • Mixed numbers combine whole numbers and fractions
  • Improper fractions have numerators larger than denominators
  • Conversion between the two will be covered in future lessons
• What are the advantages of using mixed numbers over improper fractions?

  Mixed numbers are easier to understand and work with intuitively compared to improper fractions
• What do the numerator and denominator represent in a fraction?

  The numerator is the top number, denominator is the bottom
• How can you convert an improper fraction to a mixed number?

  To convert an improper fraction to a mixed number:

  1. Divide the numerator by the denominator
  2. The whole number part is the mixed number
  3. The remainder becomes the new numerator, and the original denominator becomes the new denominator
• What are mixed numbers?

  Mixed numbers are numbers that are a combination of a whole number and a fraction, such as:

  • 4 3/2
  • 7 1/2
  • 101 1/10
• What is a mixed number?

  • A combination of a whole number and a fraction
  • Represents a value greater than one
• What is the first step to convert a fraction into a mixed number?

  Divide the numerator by the denominator
• What does the remainder indicate when converting a fraction to a mixed number?

  It shows the leftover part of the fraction
• What is a whole number called?

  Whole number
• What is the difference between a whole number and a proper fraction?

  • Whole number: A complete number (e.g. 2)
  • Proper fraction: A part of a whole (e.g. 1/4)
• What is the remainder when 432 is divided by 15?

  12
• What is the definition of remainder in division?

  The amount left over after division
• What is the process of finding the remainder in division?

  1. Divide the numerator by the denominator.
  2. Identify the quotient.
  3. Calculate the remainder as the leftover amount.
• What is the remainder when dividing 13 by 4?


  1
• How can the fraction $\frac{12}{15}$ be simplified?


  • The simplified fraction is $\frac{4}{5}$
• What is a mixed number?

  A combination of a whole number and a fraction
• How do improper fractions differ from mixed numbers?

  Improper fractions are whole numbers in disguise, while mixed numbers are a combination of a whole number and a fraction
• What are the components of a mixed number?

  • Whole number part
  • Fraction part
• What does the remainder indicate in division?

  It shows what is left after forming groups
• What is an improper fraction?

  A fraction where the numerator is greater than the denominator
• How is the division of 432 by 15 shown step-by-step?

  • Divide 432 by 15
  • The quotient is 28
  • The remainder is 12
• Why is it important to keep the original denominator in a mixed number?

  To maintain the value of the fraction
• How do you convert a mixed number to an improper fraction?

  1. Multiply the whole number by the denominator of the fraction
  2. Add the numerator to the result
  3. The result is the new numerator, keep the same denominator
• What is the quotient of 432 ÷ 15 in all methods shown?

  28
• What is the numerator in the mixed number representation?

  The remainder from the original fraction
• What does the quotient represent in a mixed number?

  The whole number part of the mixed number
• What is a mixed number written as?

  $quotient \frac{remainder}{denominator}$
• What remains as the numerator in a mixed number?

  The remainder from the original fraction
• How do you interpret the mixed number derived from $\frac{7}{3}$?


  It has 2 whole groups and $\frac{1}{3}$ left over
• How does the structure of a mixed number differ from an improper fraction?

  A mixed number has a whole part and a fraction
• What fraction is left over when converting $\frac{7}{3}$ to a mixed number?


  $\frac{1}{3}$
• What is the difference between a whole number and a fraction?

  A whole number is a complete number, while a fraction represents a part of a whole
• What is the result of dividing 7 by 3?

  2 with a remainder of 1
• What is the result of dividing 432 by 15?

  28
• How is the remainder represented in the second method of division?

  As $28 \frac{4}{5}$
• What are the three methods shown for dividing 432 by 15?

  1. Remainder: 28 r12
  2. Fraction: $28 \frac{4}{5}$
  3. Decimal: 28.8
• What is the definition of the quotient?

  The whole number result of division
• How does the remainder relate to the quotient in division?

  The remainder shows what's left after forming groups
• How is the remainder represented in the third method of division?

  As 28.8