Mixed Number to Improper Fraction Calculator

Mixed Number to Improper Fraction Calculator

Mixed Number to Improper Fraction calculator is used to convert all types of mixed numbers into improper fractions.

What is an improper fraction?

It is the type of fraction in which the value of the numerator is greater than or equal to the denominator. E.g. we have a value of 9/2 where 9 is known as the numerator and 2 is the denominator. This is an improper fraction because 9 is greater than 2. If we have the same numerator and denominator 4/4 is also an improper fraction.

What is a mixed number?

A mixed number is also known as a mixed fraction. A fraction with an integer part is called a mixed fraction. 12 4/6  where 12 is known as the integer part. Remember that with the integer part, the fraction is always in proper form.

What is a proper fraction?

A fraction in which the value of the numerator is less than the of the denominator. Proper fractions never convert into mixed numbers or mixed fractions. E.g. 2/5 is a proper fraction because from the definition the value of the numerator is less than the denominator.

Method of conversion

Let’s have a general mixed number of the form where a is known as the integer part b is the numerator and c is the denominator. To convert it into an improper form

mixed fraction = a * b/c

• Multiply a and c by each other.
• After the multiplication of a by c, add b to the answer and make it a numerator.
• The denominator always remains the same.
• The simplest way to write it is: (a*c+b)/c

Example

What is the improper fraction of the mixed fraction 12 * 2/5?

Solution:

Step 1: Multiply the denominator by the whole number and add the numerator of the proper fraction to it.

(a * c) + b = 12*5 + 2

= 60 + 2

= 62

Step 2: Now write the above result over "c".

[(a * c) + b] / c = 62/5

Hence, 62/5 is the improper fraction of the given mixed number.