Ati Teas 7 Full Study Guide Math

ATI TEAS 7 FULL STUDY GUIDE
MATH
TheMtopMnumberMofMaMfractionMisMtheM__________________________.M-
MAnswerMnumerator



TheMbottomMnumberMofMaMfractionMisMtheM__________________________.M-
MAnswerMdenominator



WhatMisMaMproperMfraction?M-
MAnswerMAMfractionMwhereMtheMnumeratorMisMsmallerMthanMtheMdenominator.



WhatMisManMimproperMfraction?M-
MAnswerMAMfractionMwhereMtheMnumeratorMisMlargerMthanMtheMdenominator.



WhatMcanManMimproperMfractionMbeMchangedMto?M-MAnswerMAMmixedMnumber.



WhatMisMaMmixedMnumber?M-
MAnswerMAMmixedMnumberMisMaMwholeMnumberMandMaMproperMfraction.



HowMdoMyouMchangeManMimproperMfractionMtoMaMmixedMnumber?M-
MAnswerMDivideMtheMdenominatorMintoMtheMnumerator.MTheMresultMisMtheMwholeMnu
mber.MTheMremainderMisMtheMnumeratorMofMtheMproperMfraction,MandMtheMvalueMofM
theMdenominatorMdoesMnotMchange.M



Example:M5/2MisM2M1/2MbecauseM2MgoesMintoM5MtwiceMwithMaMremainderMofM1.



HowMdoMyouMchangeMaMmixedMnumberMtoManMimproperMfraction?M-
MAnswerMMultiplyMtheMwholeMnumberMbyMtheMdenominatorMandMaddMtheMresultMtoM
theMnumerator.MTheMresultsMbecomeMtheMnewMnumerator.M



Example:M2M1/2MisM5/2MbecauseM2MtimesM2MplusM1MisM5MforMtheMnewMnumerator.



WhatMisMtheMleastMcommonMdenominator?M-
MAnswerMTheMsmallestMnumberMthatMcanMbeMdividedMevenlyMintoMtheMdenominatorsM
ofMallMfractionsMbeingMcompared.

,HowMdoMyouMchangeMaMdecimalMtoMaMfraction?M-
MAnswerM1.MWriteMtheMdecimalMdividedMbyM1MwithMtheMdecimalMasMtheMnumeratorM
andM1MasMtheMdenominator.M



2.MMultiplyMtheMnumeratorMandMdenominatorMbyM10MforMeveryMnumberMafterMtheMde
cimalMpoint.M

Example:MifMthereMisM1MdecimalMplace,MmultiplyMbyM10.MIfMthereMareM2MdecimalMplac
es,MmultiplyMbyM100.M



3.MReduceMtheMfractionMcompletely.M



Example:M0.37

1.M0.37/1

2.M0.37MxM100/1MxM100M=M37/100

3.M37/100M(thisMfractionMdoesMnotMreduce)



StepsMtoMchangingMaMfractionMtoMaMdecimal.M-
MAnswerM1.MdivideMtheMnumeratorMbyMtheMdenominator.MAddMzerosMafterMtheMdecim
alMpointMasMneeded.M

2.McompleteMtheMprocessMwhenMthereMisMnoMremainderMorMtheMdecimalMisMrepeating.



2MwaysMtoMconvertMaMdecimalMtoMaMpercent.M-
MAnswerM1.MmultiplyMtheMdecimalMbyM100MandMaddMaMpercentMsign.

2.MmoveMtheMdecimalMpointM2MplacesMtoMtheMright.



2MwaysMtoMconvertMaMpercentMtoMaMdecimal.M-
MAnswerM1.MremoveMtheMpercentMsignMandMdivideMtheMdecimalMbyM100.M

2.MmoveMtheMdecimalMpointM2MplacesMtoMtheMleft.



StepsMtoMchangeMaMfractionMtoMaMpercent.M-
MAnswerM1.MdivideMtheMnumeratorMandMdenominator.

2.MmultiplyMbyM100MandMaddMaMpercentMsign.

, StepsMtoMchangeMaMpercentMtoMaMfraction.M-
MAnswerM1.MRemoveMtheMpercentMsignMandMwriteMtheMvalueMasMtheMnumeratorMwith
MaMdenominatorMofM100.M

2.MSimplifyMtheMfraction.



TermMforMfractionsMwithMtheMsameMdenominator.M-MAnswerMLikeMfractions.



HowMdoMyouMaddMlikeMfractions?M-MAnswerMAddMtheMnumerators.M



Example:M2/5M+M1/5M=M3/5



HowMdoMyouMsubtractMlikeMfractions?M-MAnswerMSubtractMtheMnumerators.M



Example:M8/9M-M2/9M=M6/9M=M2/3



StepsMtoMaddingMorMsubstractingMfractionsMwithoutMlikeMdenominators.M-
MAnswerM1.MfindMtheMlowestMcommonMdenominatorM(theMlowestMcommonMmultiple).

2.MconvertMtheMLCDMbyMmultiplyingMtheMfractionMbyMtheMnecessaryMnumericalMvalueM
writtenMasMaMfractionMequalMtoM1.M

3.MAddMorMsubtractMtheMnumerators.



HowMtoMmultiplyMfractions.M-MAnswerM1.MmultiplyMtheMnumeratorsMtogether.M

2.MmultiplyMtheMdenominatorsMtogether.



StepsMtoMmultiplyMaMfractionMbyMaMwholeMnumber.M-
MAnswerM1.MchangeMtheMwholeMnumberMtoMaMfractionMwithMaMdenominatorMofM1.M

2.MmultiplyMtheMnumeratorsMtogether.M

3.MmultiplyMtheMdenominatorsMtogether.M

4.MrewriteMtheMfinalManswerMasMaMmixedMnumber.



StepsMtoMmultiplyMaMfractionMbyMaMmixedMnumberMorMmultiplyingM2MmixedMnumbers.
M-MAnswerM1.MchangeMtheMmixedMnumberMtoManMimproperMfraction.M

2.MmultiplyMtheMnumerators.