Conversion between an Improper Fraction and a Mixed Fraction

Improper Fractions

Fraction whose numerator is more than or equal to its denominator is called Improper fraction.

Example:  

Here, Numerator > Denominator (Numerator is greater than Denominator)

Therefore 8/5 is an improper fraction.

Mixed Fractions

Fraction made up of a whole number and a proper number is called Mixed fraction.

Example:

Here, 5 is a whole number and ¾ is a proper fraction.

Changing a Mixed Fraction into Improper Fraction

Step1: First multiply the whole number with denominator.

Step2: Then add product of whole number and denominator with numerator

Step3: Write the resultant number as numerator. Also write the denominator.

Example: Express as improper fraction.

Changing an Improper Fraction into Mixed Fraction

Step1: First divide the numerator by the denominator of the given number.

Step2: Then write down quotient (whole number) and the remainder we get becomes the numerator of the resultant fraction.

Step3: Finally write the denominator of given number as denominator of the resultant fraction.

Example: Express as mixed fraction.

19 ÷ 4 (Divide the numerator by denominator)

We get quotient =4, remainder =3

Note: First write quotient 4 which is a whole number. Then, write remainder 3 as numerator and denominator will remain same.