QUESTIONS AND ANSWERS WITH
SOLUTIONS 2024
NumeratorV-VANSWERVTheVwholeVnumberVthatVappearsVonVtheVtopVofVaVfraction.V
?/D
DenominatorV-VANSWERVTheVnumberVthatVappearsVonVtheVbottomVofVtheVfraction.V
N/?
ProperVfractionV-VANSWERVTheVnumeratorVisVsmallerVthanVtheVdenominator.V
Ex.V1/2
ImproperVfractionV-VANSWERVTheVnumeratorVisVlargerVthanVtheVdenominator.
Ex.V2/1
MixedVnumbersV-
VANSWERVAVmixedVnumberVconsistsVofVaVwholeVnumberVandVaVproperVfraction.VAVimproperVfractionVcanVb
eVwrittenVintoVaVmixedVnumber.
HowVdoVyouVconvertVanVimproperVfractionVintoVaVmixedVnumber?V-
VANSWERV1.VDivideVtheVnumeratorVbyVtheVdenominator.VTheVresultVwillVbeVaVwholeVnumber,VwithVorVwith
outVaVremainder.
2.VWriteVtheVwholeVnumber.
3.VIfVthereVisVaVremainder,VwriteVaVfractionVwithVtheVremainderVinVtheVnumeratorVandVtheVoriginalVdenomi
natorVinVtheVdenominator.V
,Ex.VConvertV17/5VtoVaVmixedVnumber?V
17/5=3VwithVaVremainderVofV2
17/5=3V2/5
HowVdoVyouVconvertVaVmixedVnumberVintoVaVimproperVfraction?V-
VANSWERV1.VMultiplyVtheVwholeVnumberVinVtheVmixedVnumberVbyVtheVdenominatorVofVtheVfraction.V
2.VAddVtheVresultVtoVtheVnumeratorVofVtheVfraction.
Ex.VConvertV5V1/6VtoVanVimproperVfraction.V
5x6=V30V
30+1=V31
5V1/6=V31/6
WhenVshouldVyouVconvertVmixedVnumbersVintoVimproperVfractions?V-
VANSWERVWheneverVyouVareVaskedVtoVmultiplyVorVdivideVmixedVnumbers
HowVdoVyouVreduceVaVfraction?V-
VANSWERVYouVreduceVaVfractionVbyVdividingVbothVtheVnumeratorVandVtheVdenominatorVbyVaVsingleVvalueVt
hatVdividesVevenlyVintoVbothVofVthem.
Ex.VReduceV5/10?
BothV5VandV10VareVdivisibleVbyV5
5/5=1
10/5=2
, 5/10=V1/2
KeyVwordsVforVequal?V-VANSWERVIs,Vare,Vhas,Vwas,Vwere,Vhad
KeyVwordsVforVaddition?V-VANSWERVSum,Vtogether,Vmore,Vtotal,Vgreater,VorVolderVthan
KeyVwordVforVmultiplication?V-VANSWERVProduct,Vtimes,Vof
KeywordsVofVdivision?V-VANSWERVPer,Vevenly
KeyVwordsVofVsubtraction?V-VANSWERVDifference,VlessVthan,Vfewer,VorVyoungerVthan,Vremain,VleftVover
exampleVofVkeyVwordsVforVsubtraction.VJacobVhasV5VfewerVthanVLeslie?V-VANSWERVWouldVbeVLeslie-
5=Jacob
DistanceVformulaVproblemsVincludeVkeyVwordsVsuchVas?V-
VANSWERVspeed,Vplane,Vtrain,Vboat,Vcar,Vwalk,Vrun,Vclimb,VandVswim
DistanceVFormulaV-VANSWERVRateVxVTimeV=VDistance
KeyVwordVinVtheVdistanceVformulaVprovideV2VofVtheV3VelementsV-VANSWERVrate,Vtime,Vdistance
PlugVthoseV2VelementsVintoVtheVformulaVandVsolveVforVtheVthird
RateVandVtimeVhaveVtoVbeVmeasuredVintoVcommonVunitsV-
VANSWERVIfVtheVrateVisVmeasuredVinVmilesVperVhour,VtheVtimeVhasVtoVbeVmeasuredVinVhours,VnotVminutesV
orVdays