Denominatorand Numerator CommonDenominator

Denominatorand Numerator

Thedenominatorindicatesthenumberofequal parts in whichthewholethinghas to bedivided.
Thenumeratorindicatesthenumberofdivisionsselectedoutofthetotalnumberofequal parts.
ThiswouldbebetterexplainedwiththehelpofanExample.
3/4 is a fraction in whichthedenominator 4 representsthat 4 equaldivisionshave to bemade.
3 parts selectedoutof 4 equal parts createdoutfrom 1 circlecanberepresentedas 3/4.
Diagrammaticrepresentationof ¾ is asfollows:

Thediagramclearlyshowsthreeequal parts takenoutwhenthewholecircle is dividedintofourequal parts.

What is theCommonDenominator?

Whentwofractionshavethesamevalue in thedenominatorthentheyarecommon. Theyarealsocalled likeandunlikefractions based on thesimilaritybetweenthedenominators. Supposewhenweperformthearithmeticoperationssuchasadditionandsubtraction, thenthedenominatorofthefractionsshouldbecommon or equal. But fractionscanbemultiplied or divided even thoughthedenominatorsofthefractionsarenotthesame or common. Letussee some exampleshere;

1. 
   1/2 +3/2 = (1+3)/2 = 4/2 = 2
   
2. 
   4/7 – 2/7 = (4-2)/7 = 2/7
   
3. 
   1/2 x 1/3 = (1 x 1)/(2 x 3) = 1/6
   
4. 
   4/5 ÷ 3/7 = 4/5 x 7/3 = (4 x 7)/(5 x 3) = 28/15
   

LeastCommonDenominator(LCD)

Theleastcommondenominatoroftwo or more non-zero denominators is thesmallestwholenumberthat is divisiblebyeachofthedenominators.

FrequentlyAskedQuestions on Denominator

What is thedifferencebetweennumeratoranddenominator?

In a fraction, the top number is calledthenumeratorandthebottomnumber is calledthedenominator. Forexample, ⅘ is a fraction. Here, 4 is thenumeratorand 5 is thedenominator. Similarly, thenumeratordefineshowmany parts wehaveandthebottomnumberrepresentshowmanyequal parts theobject is dividedinto.

Can a denominatorvaluebe zero?

Thedenominatorvalueofthefractioncannotbenegative, becausethefractionvaluebecomesundefinedifwehave zero in thedenominatorof a fraction.

What is meantbythecommondenominator?

Iftwo or morefractionscontainthesamebottomnumber, it is consideredasthecommondenominator. Wecanadd or subtractfractionsdirectlyifthefractionshave a commondenominator. Forinstance, ⅔ and 4/3 arethetwofractions, andthecommondenominator is 3.

Whatdoesthedenominatorrepresent?

In a fraction, thedenominatorrepresentshowmanyequal parts theobject/item is dividedinto, whereasthenumeratorrepresentshowmany parts wehave.