Learn what is a decimal number and what is meant by the whole number? And also know how to represent a mixed fraction(A combination of a whole number and a decimal number). We will also know how to write a mixed fraction into its decimal form by following the steps given in the article.

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## What are Whole Numbers, Decimals, Mixed Numbers?

**Whole Number:** It is defined as a set of positive integers which includes 0 in that. Those numbers start from 0 to infinity.

**Decimal: **A number that has a decimal point followed by digits that show the fractional part.

The combination of both numbers is the mixed number.

**Mixed Number: **A mixed number is defined as a whole number and a fraction represented together.

Example: 1 \(\frac { 3 }{ 4 } \) is a mixed number.

where 1 is a whole number and \(\frac { 3 }{ 4 } \) is a fractional part.

### How to Convert a Mixed Number into Decimal Form?

Firstly convert the given mixed fraction into a normal fraction form, Now as we know mixed fractions consist of a whole number and a fraction in it.

- Now multiply the denominator with the whole number and add to the numerator, now place the obtained result in the place of the numerator. i.e a \(\frac { b }{ c } \) is a mixed fraction, where a is a whole number and \(\frac { b}{ c } \) is a fraction. Now, conversion into normal fraction form to \(\frac { (c*a)+b }{ c } \).
- Now it is converted into a normal fraction, Divide the numerator with denominator to obtain decimal form.

### Examples on Representing Mixed Numbers to Decimals

**Example 1.**

Convert 2 \(\frac { 3 }{ 4 } \) into decimal form?

**Solution:**

Given Mixed fraction is 2 \(\frac { 3 }{ 4 } \), where 2 is a whole number and \(\frac { 3 }{ 4 } \) is fractional number.

Now multiply the denominator with the whole number and add to the numerator, now place the obtained result in the place of the numerator. i.e 4 * 2 + 3 = 11, keep 11 as a numerator.

After converting the mixed fraction into an improper fraction, we get

\(\frac { 11 }{ 4 } \), convert into decimal form by dividing numerator with the denominator

i.e 11 / 4 = 2.75

Therefore, 2.75 is the decimal form.

**Example 2.**

Convert 4 \(\frac { 5}{ 8 } \) into decimal form.

**Solution:**

Given Mixed fraction is 4 \(\frac {5 }{ 8 } \), where 4 is a whole number and \(\frac { 5}{ 8 } \) is fractional number.

Now multiply the denominator with the whole number and add to the numerator, now place the obtained result in the place of the numerator. i.e 8 * 4 + 5 = 37, keep 37 as a numerator.

After converting the mixed fraction into an improper fraction, we get

\(\frac { 37 }{ 8 } \), convert into decimal form by dividing numerator with the denominator

i.e 37/ 8 = 2.75

Therefore, 4.625 is the decimal form.