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Mixed Number to Improper Fraction Calculator

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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 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

What is a mixed number?

A mixed number is also known as a mixed fraction. A mixed fraction is a fraction that contains an integer part and a fractional part. 12 4/6  where 12 is known as the integer part and 4/6 is the fractional part. Remember that the fractional part of the mixed fraction should be a proper fraction.

A fraction in which the value of the numerator is less than the of the denominator proper fraction.

Method of conversion

To convert a mixed fraction into an improper form, follow the steps below

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

For example

mixed fraction to improper fraction

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.

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