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- 1. http://sscportal.in Online Coaching by SSCPORTAL Staff Selection Commission Combined Graduate Level : [Tier-1] Subject : Numerical Aptitude Chapter : Fractions © SSCPORTAL.IN SSC EXAM Online Coaching
- 2. Numerical Aptitude http://sscportal.in Fractions A fraction is a part of the whole (object, thing, region). It forms the part of basic aptitude of a person to have and idea of the parts of a population, group or territory. Aspirants must have a feel of ‘fractional’ thinking. eg, 5/12, here ‘12’ is the number of equal part into which the whole has been divided, is called denominator and ‘5’ is the number of equal parts which have been taken out, is called numerator. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 3. Numerical Aptitude http://sscportal.in Fractions Lowest Term of a Fraction Dividing the numerator and denominator by the highest common element (or number) in them, we get the fraction in its lowest form. eg, To find the fraction 6/14 in lowest form Since ‘2’ is highest common element in numerator 6 and denominator 14 so dividing them by 2, we get 3/7. Which is the lowest form of 6/14. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 4. Numerical Aptitude http://sscportal.in Fractions Equivalent Fractions If numerator and denominator of any fraction are multiplied by the same number then all resulting fractions are called equivalent fractions. eg, 1/2 ,2/4,3/6,4/8 all are equivalent fractions but 1/2 is the lowest form. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 5. Numerical Aptitude http://sscportal.in Fractions Addition and Subtraction of Fractions Here two cases arise as denominators of the fraction are same or not. Case I: When denominators of the two fractions are same then we write denominator once and add (or subtract) the numerators. eg, 2/7+3/7=5/7 © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 6. Numerical Aptitude http://sscportal.in Fractions Addition and Subtraction of Fractions Case II: If denominators are different, we need to find a common denominator that both denominators will divide into. eg, 1/6+3/8 We can write, 1/6=2/12,3/18 =4/24 3/8=6/16 =9/24 1/6+3/8 =4/24 +9/24=13/24 © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 7. Numerical Aptitude http://sscportal.in Fractions Multiplication and Division of Fractions To multiply fractions, the numerators are multiplied together and denominators are multiplied together. eg, 1/6x3/8=(1x3)/(6x8) =3/48=1/16 In division of fraction, the numerator of first fraction is multiplied by the denominator of second fraction and gives the numerators. Also denominator of first fraction is multiplied by the numerator of second fraction and gives the denominator. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 8. Numerical Aptitude http://sscportal.in Fractions Proper and Improper Fractions The fractions in which the number in numerator is less than that of denominator, are called proper fractions. Also if the number in numerator is greater than that of denominator, then the fractions are called improper fractions. eg, 4/3 is an improper fraction while 3/4 is a proper fraction. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 9. Numerical Aptitude http://sscportal.in Fractions Mixed Numbers A mixed number is that, which contains both a whole number and a fraction. eg, 55/12,13/4,53/8 are mixed numbers. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 10. Numerical Aptitude http://sscportal.in Fractions Decimal Fractions The fractions in which denominators has the power of 10 are called decimal fractions. eg, 0.25 25/100 =1/4= one quarter 0.1 = nought point one =1/10 = one-tenth. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 11. Numerical Aptitude http://sscportal.in Fractions Addition or Subtraction of Decimal In the addition or subtraction of decimal fractions, we write the decimal fractions in such a way that all the decimal points are in the same straight line then these numbers can be add or subtract in simple manner. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 12. Numerical Aptitude http://sscportal.in Fractions Multiplication of Decimal Fractions To multiply by multiplies (powers) of 10 the decimal point is moved to the right by the respective number of zero. Example : Multiply 8 and 10.24 Solution. First we multiply 8 and 1024 8 × 1024 = 8192 Now, 8 × 10.24 = 81.92 © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 13. Numerical Aptitude http://sscportal.in Fractions Division of Decimal Fractions Division of decimal numbers is the reverse of the multiplication case ie, we move the decimal point to the left while dividing by multiplies of 10. Example : Divide 0.0221 by 17 Solution. First we divide 221 by 17 ie, without decimal 221 ÷ 17 = 13 Now, we put decimal according as in the given problem 0.0221 ÷ 17 = 0.0013 © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 14. Numerical Aptitude http://sscportal.in Fractions To Find HCF and LCM of Decimal Fractions First we make the decimal digits of the given decimal numbers, same by putting some number of zero if necessary. Then find HCF or LCM ignoring decimals. And at last put the decimal according as the given numbers. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 15. Mathematics http://sscportal.in Fractions Non-Terminating, Non-Recurring Decimals Every fraction can be put in the form of terminating or nonterminating recurring decimals ie, these decimal numbers can be put in the form of p/q. These are called rational numbers. But some decimals numbers are there that can’t be put in the form of p/q, these are non-terminating, nonrecurring decimals. Also these are called irrational numbers. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 16. Mathematics http://sscportal.in Fractions To Convert Non-terminating Recurring Decimals Into Simple Fraction First write the non-terminating recurring decimal in bar notation. Then write the digit ‘a’ in the denominators as many times as number of digits recurring in the numerator. Also don’t put decimal in the numerator. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 17. Mathematics http://sscportal.in Fractions Mixed Recurring Decimals A decimal fraction in which some digits are not repeated and some are repeated, called mixed recurring decimal. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 18. Numerical Aptitude http://sscportal.in Fractions How to Convert Mixed Recurring Decimal into a Simple Fraction? First we subtract non repeated part from the number (without decimal) and put number 9 as many times as number of recurring digits and also put the number ‘0’ as many times odd number of non-recurring digits. © 2014 SSCPORTAL .IN Join Online Coaching Click Here
- 19. THANK YOU! CGL Tier-1: Join Online Coaching Click Here http://sscportal.in/community/courses/ssc-cgl-tier-1 If You want to Buy Hard Copy Click Here : http://sscportal.in/community/study-kit/cgl IAS Online Coaching Courses http://www.upscportal.com/civilservices/courses http://sscportal.in
- 20. UPSCPORTAL other online Courses Online Course For Civil Services Preliminary Examination सामान्य अध्ययन पेपर-1 ऑनऱाइन कोच ग िं Online Coaching For CSAT Paper -1 (GS) 2014 Online Coaching For CSAT Paper -2 (CSAT) 2014 Online Course For Civil Services Mains Examination General Studies Mains (New Pattern Paper 2,3,4,5) Contemporary Issues for Civil Services Main Examination Public Administration For Mains More IAS Online Coaching Courses http://www.upscportal.com/civilservices/courses www.upscportal.com

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