Number Series

Decimal Fractions

Students in exams face difficulty while solving the questions for decimal fractions. This is because they are not sure of the formula to use while solving the decimal fractions questions. It is necessary to understand the concept so as to be able to solve it during the exams. There are different formulas for decimal fractions which you need to remember while solving the questions. 

Suggested Videos

Play
Play
Play
previous arrow
next arrow
previous arrownext arrow
Slider

 

Fractions

Decimal Fractions

Fractions: The number which is of the form a/b, where b is not equal to 0, is termed as a fraction. In this case, a and b are termed as the numerator and denominator of the fraction. A fraction is also a rational number. So, the fraction will be,

Numerator/Denominator

The fraction represents some part of a number or a whole number generally. This number is divided into equal parts.

Thus, when a number is divided into ‘n’ number of equal parts, then one or more is termed as a fraction of that number.

The numerator defines a number that is equal parts and the denominator represents how many parts will that number make up to. Some of the points that you need to remember in the fractions are:

  • When the value of a fraction a/b = 1, then denominator = numerator.
  • If the denominator is 0 then the value of the fraction will be infinity.
  • The value of denominator is not 0 and the value of numerator is 0, then the fraction = 0.
  • If the value for the numerator and denominator is divided and multiplied by the same number, then the value of the fraction does not change.
  • A decimal fraction is called a pure recurring decimal when the number after the decimal keeps on repeating.
  • Also, a decimal fraction is called mixed recurring decimal when some of the numbers are repetitive and some numbers are not.

Browse more Topics under Number Series

Learn more about Missing Number Series here in detail.

Types of Decimal Fractions

The fraction is called a decimal fraction where the power of denominator is 10. For example, the 10th part of a unit i.e. 1/10 = 0.1.

When you convert decimal into a simple fraction, put 1 in the denominator under the decimal point. After this, remove the decimal point and place as many numbers of zeros after the decimal point.

Also, reduce the fraction in its smallest form.

For example, 476/100 = 119/25

Different Functions of the Decimal Fraction

  1. For subtraction and addition, write decimal functions in such a way that they are in the aligned form. It will be easier to solve the equations.
  2. For multiplying two or more decimal functions, multiply them without considering the decimal points. After this, mark the decimal points for as many places as the sum of the decimal numbers is given.

For example: Multiplying 4.3 x 0.13 is,

First, remove the decimals. So, this will be 43 x 13 which is equal to 599. Now add the decimal points.

Here it is 1 + 2 = 3. Put the decimal on the left side of 599 which will be 0.599. So, 4.3 x 0.13 = 0.599.

Similarly, repeat the steps for the division.

  1. LCM and HCF of decimal fractions

For LCM, first, make sure that the decimal point of each and every number is the same. Now, find the LCM of the numbers as if they are the integers. Follow the same procedure as you do in an integer. Also, for the result, do not forget to mark the decimal places equal to the ones given in the numbers.

Example: Find LCM for 9.6, 0.8, and 0.12.

The numbers given above are the same as 9.60, 0.80, and 0.12.

Now, find the LCM for 960, 80, and 120. It will be 960. So, the required LCM for the above three numbers is 9.60.

For HCF also, follow the same procedure. Instead of LCM, you need to find HCF over here.

Example: Find the HCF of 0.90 and 15.5.

The numbers given here are the same as in 1550 and 90. So, HCF of 90 and 1550 is 10. Therefore the HCF of 0.90 and 15.5 is 0.1.

Practice Questions

Q. Find the number of digits that will be on the right side of the decimal point for the product of 0.5567 and 82.56.

A. 6                     B. 5                    C. 7                    D. 3

Answer: C. 7

Q. Find the decimal of an hour which is second.

A. 0.024            B. 0.00027                C. 0.020                 D. 0.0002

Answer: B. 0.00027

Share with friends

Customize your course in 30 seconds

Which class are you in?
5th
6th
7th
8th
9th
10th
11th
12th
Get ready for all-new Live Classes!
Now learn Live with India's best teachers. Join courses with the best schedule and enjoy fun and interactive classes.
tutor
tutor
Ashhar Firdausi
IIT Roorkee
Biology
tutor
tutor
Dr. Nazma Shaik
VTU
Chemistry
tutor
tutor
Gaurav Tiwari
APJAKTU
Physics
Get Started

24
Leave a Reply

avatar
16 Comment threads
8 Thread replies
0 Followers
 
Most reacted comment
Hottest comment thread
20 Comment authors
Shriya NimjeAshishLokeshAkashPinky Choudhary Recent comment authors
  Subscribe  
newest oldest most voted
Notify of
Jagdish
Guest

5 7 31 283 ?

Parth Joshi
Guest
Parth Joshi

4533

ajay jadhav
Guest
ajay jadhav

3967

Priya
Guest
Priya

5×1+2=7
7×4+3=31
31×9+4=283
283×16+5=4533

mahu
Guest

ook

Venu
Guest
Venu

4533

anmol
Guest
anmol

4,8,24,28,84,88,_

Parth Joshi
Guest
Parth Joshi

264

Rahul
Guest
Rahul

4+4=8×3=24+4=28×3=84+4=88×3=264

Ashish
Guest
Ashish

84+100=184or 84+240=324

spy7
Guest
spy7

4+4=8
8×3=24
24+4=28
28×3=84
84+4=88
88×3=264

pavan kalyan
Guest
pavan kalyan

1 5 20 ???

lavanya lakhotia
Guest
lavanya lakhotia

60

anmol
Guest
anmol

1*3+2=5
5*3+5=20
20*3+7=67
can it not be like this???
if not then why?

Sathish
Guest

1×5=5
5×4=20
20×3=60

Saumit
Guest
Saumit

How

srashti
Guest
srashti

60

anmol
Guest
anmol

1*3+2=5
5*3+5=20
20*3+7=67
can it not be like this???
if not then why?

anmol
Guest
anmol

thats 20*3+8=68

Ashish
Guest
Ashish

1×2+3=5×3+5=20×4+7=86

Honey
Guest
Honey

16,4,68,12,?,4,30,1,9 plz reply i need it

ABCD
Guest
ABCD

GAY

Ayushi shukla
Guest
Ayushi shukla

2,3,3,5,10,13,?,43,172,177

Sneha
Guest
Sneha

4,5,5,7,9,13,10__,14

abcd
Guest
abcd

I think
Answer. 15
In series of odd numbers (4, 5,9,10,14) there is addition of 1 and 4 alternately.
And in series of even numbers (5, 7,13,?) There is addition of 2 and 6 alternately.

Janu
Guest
Janu

Find missing teams-1,5,14,?,44

Robin rathi
Guest
Robin rathi

Find the missing number of this series
60,50,60,90,41,_?

Options 1. 12
2. 18
3. 25
4. 30
5. none this above

Rohith
Guest
Rohith

26,4,20,10,14,16,8,22,2,28

Paulo
Guest

____,360,000,000,____, 389,000,000,____, 420,000,000

Sune Pedersen
Guest
Sune Pedersen

37 52 93 75 29 ? what is the math behind this

Sonali sahu
Guest
Sonali sahu

2,1,0,-3,-24,? Find the next number

Pinky Choudhary
Guest

Upper line 3 5 8 mid line 6 10 32 lower line 9 ? 50 me missing no. Kya h

Akash
Guest
Akash

94 101 115 136 164 ?

Ashish
Guest
Ashish

199

Lokesh
Guest
Lokesh

QID : 426 – In the following question, select the
missing number from the given alternatives.
41, 83, 167, 335, 671, ?
Options:
1) 1297
2) 1343
3) 1447
4) 1661

Ashish
Guest
Ashish

1343

Shriya Nimje
Guest
Shriya Nimje

50,50,54,72,?,220

Stuck with a

Question Mark?

Have a doubt at 3 am? Our experts are available 24x7. Connect with a tutor instantly and get your concepts cleared in less than 3 steps.

Download the App

Watch lectures, practise questions and take tests on the go.

Customize your course in 30 seconds

Which class are you in?
No thanks.