ATI TEAS 7 FULL STUDY GUIDE (SMART
EDITION): MATH 2024-2025
The itop inumber iof ia ifraction iis ithe i__________________________. i- iCorrect iAnswer-
numerator
The ibottom inumber iof ia ifraction iis ithe i__________________________. i- iCorrect
iAnswer-denominator
What iis ia iproper ifraction? i- iCorrect iAnswer-A ifraction iwhere ithe inumerator iis ismaller
ithan ithe idenominator.
What iis ian iimproper ifraction? i- iCorrect iAnswer-A ifraction iwhere ithe inumerator iis
ilarger ithan ithe idenominator.
What ican ian iimproper ifraction ibe ichanged ito? i- iCorrect iAnswer-A imixed inumber.
What iis ia imixed inumber? i- iCorrect iAnswer-A imixed inumber iis ia iwhole inumber iand ia
iproper ifraction.
How ido iyou ichange ian iimproper ifraction ito ia imixed inumber? i- iCorrect iAnswer-
Divide ithe idenominator iinto ithe inumerator. iThe iresult iis ithe iwhole inumber. iThe
iremainder iis ithe inumerator iof ithe iproper ifraction, iand ithe ivalue iof ithe idenominator
idoes inot ichange. i
Example: i5/2 iis i2 i1/2 ibecause i2 igoes iinto i5 itwice iwith ia iremainder iof i1.
How ido iyou ichange ia imixed inumber ito ian iimproper ifraction? i- iCorrect iAnswer-
Multiply ithe iwhole inumber iby ithe idenominator iand iadd ithe iresult ito ithe inumerator.
iThe iresults ibecome ithe inew inumerator. i
Example: i2 i1/2 iis i5/2 ibecause i2 itimes i2 iplus i1 iis i5 ifor ithe inew inumerator.
, What iis ithe ileast icommon idenominator? i- iCorrect iAnswer-The ismallest inumber ithat
ican ibe idivided ievenly iinto ithe idenominators iof iall ifractions ibeing icompared.
How ido iyou ichange ia idecimal ito ia ifraction? i- iCorrect iAnswer-1. iWrite ithe idecimal
idivided iby i1 iwith ithe idecimal ias ithe inumerator iand i1 ias ithe idenominator. i
2. iMultiply ithe inumerator iand idenominator iby i10 ifor ievery inumber iafter ithe idecimal
ipoint. i
Example: iif ithere iis i1 idecimal iplace, imultiply iby i10. iIf ithere iare i2 idecimal iplaces,
imultiply iby i100. i
3. iReduce ithe ifraction icompletely. i
Example: i0.37
1. i0.37/1
2. i0.37 ix i100/1 ix i100 i= i37/100
3. i37/100 i(this ifraction idoes inot ireduce)
Steps ito ichanging ia ifraction ito ia idecimal. i- iCorrect iAnswer-1. idivide ithe inumerator iby
ithe idenominator. iAdd izeros iafter ithe idecimal ipoint ias ineeded. i
2. icomplete ithe iprocess iwhen ithere iis ino iremainder ior ithe idecimal iis irepeating.
2 iways ito iconvert ia idecimal ito ia ipercent. i- iCorrect iAnswer-1. imultiply ithe idecimal iby
i100 iand iadd ia ipercent isign.
2. imove ithe idecimal ipoint i2 iplaces ito ithe iright.
2 iways ito iconvert ia ipercent ito ia idecimal. i- iCorrect iAnswer-1. iremove ithe ipercent isign
iand idivide ithe idecimal iby i100. i
2. imove ithe idecimal ipoint i2 iplaces ito ithe ileft.
Steps ito ichange ia ifraction ito ia ipercent. i- iCorrect iAnswer-1. idivide ithe inumerator iand
idenominator.
2. imultiply iby i100 iand iadd ia ipercent isign.
Steps ito ichange ia ipercent ito ia ifraction. i- iCorrect iAnswer-1. iRemove ithe ipercent isign
iand iwrite ithe ivalue ias ithe inumerator iwith ia idenominator iof i100. i
2. iSimplify ithe ifraction.
EDITION): MATH 2024-2025
The itop inumber iof ia ifraction iis ithe i__________________________. i- iCorrect iAnswer-
numerator
The ibottom inumber iof ia ifraction iis ithe i__________________________. i- iCorrect
iAnswer-denominator
What iis ia iproper ifraction? i- iCorrect iAnswer-A ifraction iwhere ithe inumerator iis ismaller
ithan ithe idenominator.
What iis ian iimproper ifraction? i- iCorrect iAnswer-A ifraction iwhere ithe inumerator iis
ilarger ithan ithe idenominator.
What ican ian iimproper ifraction ibe ichanged ito? i- iCorrect iAnswer-A imixed inumber.
What iis ia imixed inumber? i- iCorrect iAnswer-A imixed inumber iis ia iwhole inumber iand ia
iproper ifraction.
How ido iyou ichange ian iimproper ifraction ito ia imixed inumber? i- iCorrect iAnswer-
Divide ithe idenominator iinto ithe inumerator. iThe iresult iis ithe iwhole inumber. iThe
iremainder iis ithe inumerator iof ithe iproper ifraction, iand ithe ivalue iof ithe idenominator
idoes inot ichange. i
Example: i5/2 iis i2 i1/2 ibecause i2 igoes iinto i5 itwice iwith ia iremainder iof i1.
How ido iyou ichange ia imixed inumber ito ian iimproper ifraction? i- iCorrect iAnswer-
Multiply ithe iwhole inumber iby ithe idenominator iand iadd ithe iresult ito ithe inumerator.
iThe iresults ibecome ithe inew inumerator. i
Example: i2 i1/2 iis i5/2 ibecause i2 itimes i2 iplus i1 iis i5 ifor ithe inew inumerator.
, What iis ithe ileast icommon idenominator? i- iCorrect iAnswer-The ismallest inumber ithat
ican ibe idivided ievenly iinto ithe idenominators iof iall ifractions ibeing icompared.
How ido iyou ichange ia idecimal ito ia ifraction? i- iCorrect iAnswer-1. iWrite ithe idecimal
idivided iby i1 iwith ithe idecimal ias ithe inumerator iand i1 ias ithe idenominator. i
2. iMultiply ithe inumerator iand idenominator iby i10 ifor ievery inumber iafter ithe idecimal
ipoint. i
Example: iif ithere iis i1 idecimal iplace, imultiply iby i10. iIf ithere iare i2 idecimal iplaces,
imultiply iby i100. i
3. iReduce ithe ifraction icompletely. i
Example: i0.37
1. i0.37/1
2. i0.37 ix i100/1 ix i100 i= i37/100
3. i37/100 i(this ifraction idoes inot ireduce)
Steps ito ichanging ia ifraction ito ia idecimal. i- iCorrect iAnswer-1. idivide ithe inumerator iby
ithe idenominator. iAdd izeros iafter ithe idecimal ipoint ias ineeded. i
2. icomplete ithe iprocess iwhen ithere iis ino iremainder ior ithe idecimal iis irepeating.
2 iways ito iconvert ia idecimal ito ia ipercent. i- iCorrect iAnswer-1. imultiply ithe idecimal iby
i100 iand iadd ia ipercent isign.
2. imove ithe idecimal ipoint i2 iplaces ito ithe iright.
2 iways ito iconvert ia ipercent ito ia idecimal. i- iCorrect iAnswer-1. iremove ithe ipercent isign
iand idivide ithe idecimal iby i100. i
2. imove ithe idecimal ipoint i2 iplaces ito ithe ileft.
Steps ito ichange ia ifraction ito ia ipercent. i- iCorrect iAnswer-1. idivide ithe inumerator iand
idenominator.
2. imultiply iby i100 iand iadd ia ipercent isign.
Steps ito ichange ia ipercent ito ia ifraction. i- iCorrect iAnswer-1. iRemove ithe ipercent isign
iand iwrite ithe ivalue ias ithe inumerator iwith ia idenominator iof i100. i
2. iSimplify ithe ifraction.
