**Converting Improper Fractions to Mixed Numbers**

In mathematics, an improper fraction is a fraction where the numerator is greater than or equal to the denominator. In this article, we will learn how to convert an improper fraction to a mixed number, using the example of **0.75**.

**What is an Improper Fraction?**

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, **3/2**, **4/3**, and **5/4** are all improper fractions.

**Converting 0.75 to a Mixed Number**

To convert **0.75** to a mixed number, we need to find the whole number part and the fraction part.

**Step 1: Divide the numerator by the denominator**

Divide the numerator (75) by the denominator (100):

`75 ÷ 100 = 0.75`

**Step 2: Find the whole number part**

The whole number part is the integer part of the result:

`0.75 = 0`

(whole number part)

**Step 3: Find the fraction part**

The fraction part is the remaining decimal value:

`0.75 - 0 = 0.75`

(fraction part)

**Step 4: Simplify the fraction part**

Simplify the fraction part by dividing both the numerator and the denominator by their greatest common divisor (GCD):

`75 ÷ 25 = 3`

(numerator)
`100 ÷ 25 = 4`

(denominator)

The simplified fraction part is:

`3/4`

**The Mixed Number Equivalent**

Combining the whole number part and the fraction part, we get the mixed number equivalent:

`0 3/4`

Therefore, the mixed number equivalent of **0.75** is **0 3/4**.

**Conclusion**

In this article, we learned how to convert an improper fraction to a mixed number using the example of **0.75**. By following the steps outlined above, we can convert any improper fraction to a mixed number. This is an essential skill in mathematics, as it allows us to simplify complex fractions and make them easier to work with.