# Converting Improper Fractions to Mixed Fractions and Vice Versa

In a previous lesson, we saw that there are three types of fractures:

**Proper Fractions**: The numerator is less than the denominator. ()

Exemples: ; ;

**Improper Fractions**: The numerator is greater than, or equal to, the denominator. ()

Exemples: ; ;

**Mixed numbers**: There is a whole number and a fraction.

Exemples: ; ;

In this lesson, we will focus on the last two types, Improper Fractions and Mixed Fractions, so that we will see how to convert a mixed fraction to an improper fraction, and how to convert an improper fraction to a mixed fraction using a very simple rule. All you have to do, dear student, is to continue reading the lesson to the end, and re-perform the examples that we will see in this lesson.

## Converting Improper Fractions to Mixed Fractions

There are three very easy steps to convert an improper fraction to a mixed fraction, which are as follows:

Divide the denominator by the numerator;

Keep the obtained quotient as the whole part;

Write the fraction part which the numerator is the remainder and the denominator is the original denominator;

Write down the final result by combining the parts **[Whole Part][Fraction Part]**;

**Info!**

The fraction part is always a **proper fraction**.

### Examples of how to convert an improper fraction to a mixed fraction

**Example1:**

Convert to a mixed fraction.

**Solution:**

The denominator (28) is greater than the numerator (5), so is an improper fraction.

Thus, the final answer is:

**Example2:**

Convert to a mixed fraction.

**Solution:**

The denominator (39) is greater than the numerator (4), so is an improper fraction.

Thus, the final answer is:

**Example3:**

Convert to a mixed fraction.

**Solution:**

The denominator (85) is greater than the numerator (19), so is an improper fraction.

Thus, the final answer is:

## Converting Mixed Fractions to Improper Fractions

For the reverse process, Converting a mixed fraction to an improper fraction is also easy, you just follow this three steps below.

### Note:

Let is a mixed fraction. To convert the mixed fraction to improper fraction we use the following formula:

Lets take some examples of converting the mixed fractions to improper fractions.

### Examples of how to convert an mixed fraction to a improper fraction

**Example4:**

Convert to an improper fraction.

**Solution:**

We can do the process in one go:

**Example5:**

Convert to an improper fraction.

**Solution:**

We can do the process in one go:

**Example6:**

Convert to an improper fraction.

**Solution:**

We can do the process in one go: