**How to study fractions ?**

**Ever Wondered?**

**This is where your search is going to end , not an end but this is where you are going to dive into the concepts of decimal fractions .**

## FRACTIONS-

A Number which can be expressed in the form of p/q where q does not equal to 0 , is known as fraction .

e.g. 4/5 , 3/2 ,etc are fractions and here the lower number is called as denominator and the upper number is called as numerator.

## DECIMAL FRACTIONS-

Fractions that have powers of 10^M in the denominators are called as Decimal fractions e.g. 1/ 10, 1/100, 1/1000 , etc.

Here M is a natural number .

e.g. (a) 1/10 is the tenth part of 1 and written as 0.1 .

(b) 1/100 is the 7th hundredth part of 1 and written as 0.01 .

**Lets see some of the important rules for decimal fractions,**

## IMPORTANT RULES-

- While making addition or subtraction of decimal fractions the numbers are placed under each in such a way that the decimal point lie in one column . Then the numbers can be added or subtracted as usual .
- While multiplying the two given numbers consider them without the decimal point.In the product the decimal point is marked off (from right to left ) to obtain as many places of decimal as is the sum of the number of decimal places in the given numbers.
- While multiplying a decimal fraction by powers of 10 , the product is obtained by shifting the decimal point to the right by as many places of decimal as is the power of 10.
- While dividing a decimal fraction by powers of 10 the result is obtained by shifting the decimal point to the left by as many places of decimal as is the power of 10.
- While dividing the given decimal fraction without the decimal point by the given counting number . Here in the quotient place the decimal point to have as many places of decimal as are these in the dividend.
- For dividing a decimal fraction by a decimal fraction multiply the dividend and the divisor by a suitable power of 10 to make the divisor a whole number and then proceed as in the previous rule.

### TERMINATING AND REPEATING DECIMALS-

Every rational number has a particular characteristics that when expressed in decimal form they are expressible either in terminating decimals or in repeating decimals .

e.g 1/5 = 0.5 or 5/4 = 1.25

### RECURRING DECIMALS

The number which does not terminate but repeat the same numbers again and again in the process if division is called non terminating repeated decimals or recurring decimals.The repeated digit of the recurring decimal is called the period of the recurring decimal.

e.g 1/7 = 0.1428571428........

**Why am i teaching this good?**

**don't you think?**

**because i love to do this , share my knowledge with others :)**

**Here are some exercises for you to practise ,**

**Enjoy,**

math capsule decimal fraction 1 |

math capsule decimal fraction 2 |

math capsule decimal fraction 3 |