Want to find 30/4 as a mixed fraction? Here is a step-by-step guide illustrating the easiest technique to convert an improper fraction as 30/4 as a mixed fraction.

Fractions can be expressed in different forms and here we shall learn about how to convert from one form to another.

The number 30/4 is an improper fraction that needs to be converted to a mixed fraction in the given case. Let us learn the techniques of how to convert a given improper fraction to a mixed fraction.

**What is 30/4 as a Mixed Fraction? **30/4 = 7 ½

## Basic Concepts

1) A mixed fraction is constructed of a whole number and a fraction that is smaller in size than the given improper fraction from which it is simplified.

2) Definition of numerator: A numerator is a digit or a number that is present above the line of division.

3) Definition of denominator: A denominator is a digit that is present below the line division.

4) What is an improper fraction: An improper fraction is where the numerator is greater than the denominator and it can also be converted to a mixed fraction.

5) What is a proper fraction: A proper fraction is where the numerator is smaller than the denominator.

**Also read: **Convert 500 mcg to mg?

## Calculation to find 30/4 as a Mixed Fraction

**Step 1**: **Find the whole number**

First, you need to find the whole number, and do so you need to find the value by dividing the numerator by denominator.

Now,

#### 30 ÷ 4 = 7.5

So the **whole number is now 7** and we have already solved a part of the given question.

**Step 2**: **Find the smaller numerator**

How to find the new smaller numerator.

To find the new numerator you need to multiply the whole number we found in the results of step 1 with the original denominator which is 4

Hence,

#### 7×4 = 28

Now you need to subtract the multiple from the original numerator and thus,

#### 30-28 = 2

Hence, **2 is the new numerator**.

**Step 3**

Hence, 2 is the new numerator.

The original denominator will be the same for the new denominator and thus the given expression will be

**Whole number = 7**

**New numerator = 2**

**The new denominator (same as original) = 4**

Hence, the mixed fraction will be = 7 2/4

[latexpage]

\[

\frac{30}{4}=7\frac{2}{4}

\]

**Step 4**

The smaller fraction can be implied even further by dividing both the denominator and the numerator with a common factor of 2

#### Hence the answer will be 7 ½

[latexpage]

\[

\frac{30}{4}=7\frac{1}{2}

\]

This is because the greatest common factor of 2 and 4 is 2 hence we reduce the numerator and denominator 2 and 4 by 2 respectively.

## Conclusion

So the final result to the conversion of improper fraction **30/4 is 7 ½**

**Also read: **What is 1/5 as a Decimal?

Naomi is an educator with 2 decades of experience working with children of all ages. She is a keen observer of the magic and importance of Maths in our daily lives. Follow me on Linkedin