2. The fruit is another example of a fraction. Every time we cut any fruit into a piece, we are making a part of a whole.

**Decimals **

The decimal number system is also known as the ‘Base-ten’ positional numeral system and also called Denary. In simpler meaning, a decimal fraction is a fraction where the denominator is either ten or the higher power of ten such as 10, 100,1000, etc.

The decimal fraction is represented as a/10^{n}

Where n=Natural Number.

**Decimal notation: **

The decimal or decimal number identified by a separator called ’Decimal point’ or “.”. Such as 3.14 is the approximate decimal value of pi \(\begin{align}\pi \end{align}\) =3.14

**History of decimals: **

The decimal fraction was developed by the Chinese in the 4th century BCE.

**Types of Decimals: **

There are 2 types of Decimals,

1. **Non-recurring decimals or terminal decimals:** Non-recurring decimals mean it does not reoccur. E.g 0.5, 0.25 etc.

2. **Recurring decimals or Non-terminal decimals:** It means that it reoccurs. E.g.0.222…, 0.3333…., 0.232323….

**The relation between Fraction and decimal:**

For instance, a decimal number 12.4547, where 12is a whole number and 4547 is the decimal part or fractional part.

- Decimals fraction based on the power of 10. So when we move left to right we have to divide the place value of the digits by 10. The place value after the decimals is Tenth, Hundredth, Thousandth, and so on.

- Decimal numbers of From Mixed Fraction.

The expanded form of decimal numbers:

Conversion of Decimals number from fraction:

To find the decimal number from its fraction we can use the following method-

- When we will divide a number by another number where the remainder is coming, we will add a decimal point in the quotient line. And for taking decimal point we can add one zero in each step.

**Other methods: **

1. We have to find a number that can be multiplied to the numerator and denominator to get 10,100, 1000 ...

¾ to decimal number

We have to multiply 4 by 25 to get 100 as Denominator.

2. Then we have to write down the number after putting the decimal point, one space from the right side for every zero in the denominator.

** Problems on Fraction and decimals**

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**Frequently Asked Questions (FAQs)**

**What is the difference between a decimal & a whole number?**

Whole numbers specify how many elements there are in a collection of objects while decimals are a part of the whole numbers.

**How to add and subtract fractions?**

For like fractions, add/subtract the numerators and retain the same denominator. For adding unlike fractions, take the LCM of the denominators and convert the addends to equivalent fractions and add them as like fractions. Reduce to its lowest term if needed.

What decimal of an hour is a second?

=1/(60×60)=1/3600=0.00027

**How do you multiply fractions?**

- To multiply any two fractions, we can follow the steps below.
- Multiply the numerators
- Multiply the denominators
- Simplify to the lowest form

**How to divide fractions?**

A simple way to explain how to divide fractions is :

- Flip the reciprocal of the divisor.
- Change the division sign into a multiplication sign
- Multiply it with the dividend.