Mixed Numbers & Improper Fractions (Cambridge (CIE) IGCSE Maths)

Mixed Numbers & Top Heavy Fractions

What are mixed numbers & top heavy fractions?

• A mixed number has an integer part and a fraction part

  • has the whole number 3 and the fraction , meaning “three and three quarters”

• A top heavy fraction is also known as an improper fraction 

• An improper fraction is a fraction where the numerator is bigger than the denominator

  • means “fifteen quarters”

• Any fraction that is greater than 1 can be written as either a mixed number or an equivalent improper fraction

How do I convert a mixed number into an improper fraction?

• Multiply the integer part by the denominator of the fraction part

  • For example, convert into a top heavy fraction

  • 

• Add the result to the numerator of the fraction part

  • 

• Write the 'new' numerator over the same denominator and ignore the integer part

  • 

How do I convert an improper fraction into a mixed number?

• Divide the numerator by the bottom

  • For example, convert  into a mixed number 

  • remainder 

• The integer part of the mixed number is the whole number

• The fraction part is the remainder over the denominator

  •