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.