Follow Us on Twitter

How to Convert from Mixed Fractions to Improper Fractions (Mathematics Lesson)

Converting from Mixed to Improper Fractions

Mixed fractions can be converted to improper fractions.



  • A mixed fraction has a whole number and a fraction.

  • An improper fraction (or top-heavy fraction) is a fraction where the top number is greater than (or equal to) the bottom number.

How to Convert from Improper to Mixed Fractions

An Example Question

Convert the mixed fraction below to an improper fraction.
Don't forget: A mixed fraction has a 'whole number' part (2 in our example) and a 'fraction' part (½).

The top number of the fraction (1) is called the numerator. The bottom number of the fraction (2) is called the denominator.



Step 1
Multiply the whole number (2) by the denominator of the fraction (2).


2 × 2 = 4
Step 2
Take this answer (4) and add the numerator (1) of the fraction part of the mixed fraction.


4 + 1 = 5
Step 3
Make this the numerator of the improper fraction.



Step 4
Take the denominator from the fraction part of the mixed fraction (2) and make this the denominator of the improper fraction.



Step 5
Simplify the fraction if possible. (The fraction in our example is already as simple as possible.)

5/2 (five-halves) is 2 1/2 (two and a half) written as a mixed fraction.

A Real Example of How to Convert from Mixed to Improper Fractions

The slider below shows another example of converting mixed fractions to improper fractions:
Interactive Test
  show
 


Here's a second test on converting mixed fractions to improper fractions.
Here's a third test on converting mixed fractions to improper fractions.
Note

What Is a Fraction?

A fraction is a part of a whole number.

Fractions consist of a numerator and a denominator.

There are three different types of fractions:

Mixed Fractions

A mixed fraction is a type of fraction that 'mixes' a whole number with a fraction.



Improper or "Top-Heavy" Fractions

An improper fraction is a type of fraction, where the numerator is greater than or equal to the denominator.



Improper fractions are sometimes called "top-heavy" fractions, because the top of the fraction is bigger than the bottom.