# Mixed Number to Improper Fraction Calculator

To use mixed number to improper fraction calculator, enter mixed fraction, and click calculate button

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## 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.