ATI TEAS 7 FULL STUDY GUIDE (SMART EDITION) MA
B B B B B B B B
TH EXAM QUESTIONS WITH COMPLETE SOLUTIONS
B B B B B B
Thebtopbnumberbofbabfractionbisbtheb__________________________.b-bCORRECTbANSWER-
numerator
Thebbottombnumberbofbabfractionbisbtheb__________________________.b-bCORRECTbANSWER-
denominator
Whatbisbabproperbfraction?b-bCORRECTbANSWER-
Abfractionbwherebthebnumeratorbisbsmallerbthanbthebdenominator.
Whatbisbanbimproperbfraction?b-bCORRECTbANSWER-
Abfractionbwherebthebnumeratorbisblargerbthanbthebdenominator.
Whatbcanbanbimproperbfractionbbebchangedbto?b-bCORRECTbANSWER-Abmixedbnumber.
Whatbisbabmixedbnumber?b-bCORRECTbANSWER-
Abmixedbnumberbisbabwholebnumberbandbabproperbfraction.
Howbdobyoubchangebanbimproperbfractionbtobabmixedbnumber?b-bCORRECTbANSWER-
Dividebthebdenominatorbintobthebnumerator.bThebresultbisbthebwholebnumber.bThebremainderbisbt
hebnumeratorbofbthebproperbfraction,bandbthebvaluebofbthebdenominatorbdoesbnotbchange.b
Example:b5/2bisb2b1/2bbecauseb2bgoesbintob5btwicebwithbabremainderbofb1.
Howbdobyoubchangebabmixedbnumberbtobanbimproperbfraction?b-bCORRECTbANSWER-
Multiplybthebwholebnumberbbybthebdenominatorbandbaddbthebresultbtobthebnumerator.bThebresult
sbbecomebthebnewbnumerator.b
ATIbTEASb7bFULLbSTUDYbGUIDEb(SMARTbEDITION)bMATHbEXAMbQUESTIONSbWITHbCOMPLETEbSOLUTIONSb
,Example:b2b1/2bisb5/2bbecauseb2btimesb2bplusb1bisb5bforbthebnewbnumerator.
Whatbisbthebleastbcommonbdenominator?b-bCORRECTbANSWER-
Thebsmallestbnumberbthatbcanbbebdividedbevenlybintobthebdenominatorsbofballbfractionsbbeingbco
mpared.
Howbdobyoubchangebabdecimalbtobabfraction?b-bCORRECTbANSWER-
1.bWritebthebdecimalbdividedbbyb1bwithbthebdecimalbasbthebnumeratorbandb1basbthebdenominator.b
2.bMultiplybthebnumeratorbandbdenominatorbbyb10bforbeverybnumberbafterbthebdecimalbpoint.b
Example:bifbtherebisb1bdecimalbplace,bmultiplybbyb10.bIfbtherebareb2bdecimalbplaces,bmultiplybbyb10
0.b
3.bReducebthebfractionbcompletely.b
Example:b0.37
1.b0.37/1
2.b0.37bxb100/1bxb100b=b37/100
3.b37/100b(thisbfractionbdoesbnotbreduce)
Stepsbtobchangingbabfractionbtobabdecimal.b-bCORRECTbANSWER-
1.bdividebthebnumeratorbbybthebdenominator.bAddbzerosbafterbthebdecimalbpointbasbneeded.b
2.bcompletebthebprocessbwhenbtherebisbnobremainderborbthebdecimalbisbrepeating.
2bwaysbtobconvertbabdecimalbtobabpercent.b-bCORRECTbANSWER-
1.bmultiplybthebdecimalbbyb100bandbaddbabpercentbsign.
2.bmovebthebdecimalbpointb2bplacesbtobthebright.
ATIbTEASb7bFULLbSTUDYbGUIDEb(SMARTbEDITION)bMATHbEXAMbQUESTIONSbWITHbCOMPLETEbSOLUTIONSb
, 2bwaysbtobconvertbabpercentbtobabdecimal.b-bCORRECTbANSWER-
1.bremovebthebpercentbsignbandbdividebthebdecimalbbyb100.b
2.bmovebthebdecimalbpointb2bplacesbtobthebleft.
Stepsbtobchangebabfractionbtobabpercent.b-bCORRECTbANSWER-
1.bdividebthebnumeratorbandbdenominator.
2.bmultiplybbyb100bandbaddbabpercentbsign.
Stepsbtobchangebabpercentbtobabfraction.b-bCORRECTbANSWER-
1.bRemovebthebpercentbsignbandbwritebthebvaluebasbthebnumeratorbwithbabdenominatorbofb100.b
2.bSimplifybthebfraction.
Termbforbfractionsbwithbthebsamebdenominator.b-bCORRECTbANSWER-Likebfractions.
Howbdobyoubaddblikebfractions?b-bCORRECTbANSWER-Addbthebnumerators.b
Example:b2/5b+b1/5b=b3/5
Howbdobyoubsubtractblikebfractions?b-bCORRECTbANSWER-Subtractbthebnumerators.b
Example:b8/9b-b2/9b=b6/9b=b2/3
Stepsbtobaddingborbsubstractingbfractionsbwithoutblikebdenominators.b-bCORRECTbANSWER-
1.bfindbtheblowestbcommonbdenominatorb(theblowestbcommonbmultiple).
2.bconvertbthebLCDbbybmultiplyingbthebfractionbbybthebnecessarybnumericalbvaluebwrittenbasbabfrac
tionbequalbtob1.b
3.bAddborbsubtractbthebnumerators.
Howbtobmultiplybfractions.b-bCORRECTbANSWER-1.bmultiplybthebnumeratorsbtogether.b
ATIbTEASb7bFULLbSTUDYbGUIDEb(SMARTbEDITION)bMATHbEXAMbQUESTIONSbWITHbCOMPLETEbSOLUTIONSb
B B B B B B B B
TH EXAM QUESTIONS WITH COMPLETE SOLUTIONS
B B B B B B
Thebtopbnumberbofbabfractionbisbtheb__________________________.b-bCORRECTbANSWER-
numerator
Thebbottombnumberbofbabfractionbisbtheb__________________________.b-bCORRECTbANSWER-
denominator
Whatbisbabproperbfraction?b-bCORRECTbANSWER-
Abfractionbwherebthebnumeratorbisbsmallerbthanbthebdenominator.
Whatbisbanbimproperbfraction?b-bCORRECTbANSWER-
Abfractionbwherebthebnumeratorbisblargerbthanbthebdenominator.
Whatbcanbanbimproperbfractionbbebchangedbto?b-bCORRECTbANSWER-Abmixedbnumber.
Whatbisbabmixedbnumber?b-bCORRECTbANSWER-
Abmixedbnumberbisbabwholebnumberbandbabproperbfraction.
Howbdobyoubchangebanbimproperbfractionbtobabmixedbnumber?b-bCORRECTbANSWER-
Dividebthebdenominatorbintobthebnumerator.bThebresultbisbthebwholebnumber.bThebremainderbisbt
hebnumeratorbofbthebproperbfraction,bandbthebvaluebofbthebdenominatorbdoesbnotbchange.b
Example:b5/2bisb2b1/2bbecauseb2bgoesbintob5btwicebwithbabremainderbofb1.
Howbdobyoubchangebabmixedbnumberbtobanbimproperbfraction?b-bCORRECTbANSWER-
Multiplybthebwholebnumberbbybthebdenominatorbandbaddbthebresultbtobthebnumerator.bThebresult
sbbecomebthebnewbnumerator.b
ATIbTEASb7bFULLbSTUDYbGUIDEb(SMARTbEDITION)bMATHbEXAMbQUESTIONSbWITHbCOMPLETEbSOLUTIONSb
,Example:b2b1/2bisb5/2bbecauseb2btimesb2bplusb1bisb5bforbthebnewbnumerator.
Whatbisbthebleastbcommonbdenominator?b-bCORRECTbANSWER-
Thebsmallestbnumberbthatbcanbbebdividedbevenlybintobthebdenominatorsbofballbfractionsbbeingbco
mpared.
Howbdobyoubchangebabdecimalbtobabfraction?b-bCORRECTbANSWER-
1.bWritebthebdecimalbdividedbbyb1bwithbthebdecimalbasbthebnumeratorbandb1basbthebdenominator.b
2.bMultiplybthebnumeratorbandbdenominatorbbyb10bforbeverybnumberbafterbthebdecimalbpoint.b
Example:bifbtherebisb1bdecimalbplace,bmultiplybbyb10.bIfbtherebareb2bdecimalbplaces,bmultiplybbyb10
0.b
3.bReducebthebfractionbcompletely.b
Example:b0.37
1.b0.37/1
2.b0.37bxb100/1bxb100b=b37/100
3.b37/100b(thisbfractionbdoesbnotbreduce)
Stepsbtobchangingbabfractionbtobabdecimal.b-bCORRECTbANSWER-
1.bdividebthebnumeratorbbybthebdenominator.bAddbzerosbafterbthebdecimalbpointbasbneeded.b
2.bcompletebthebprocessbwhenbtherebisbnobremainderborbthebdecimalbisbrepeating.
2bwaysbtobconvertbabdecimalbtobabpercent.b-bCORRECTbANSWER-
1.bmultiplybthebdecimalbbyb100bandbaddbabpercentbsign.
2.bmovebthebdecimalbpointb2bplacesbtobthebright.
ATIbTEASb7bFULLbSTUDYbGUIDEb(SMARTbEDITION)bMATHbEXAMbQUESTIONSbWITHbCOMPLETEbSOLUTIONSb
, 2bwaysbtobconvertbabpercentbtobabdecimal.b-bCORRECTbANSWER-
1.bremovebthebpercentbsignbandbdividebthebdecimalbbyb100.b
2.bmovebthebdecimalbpointb2bplacesbtobthebleft.
Stepsbtobchangebabfractionbtobabpercent.b-bCORRECTbANSWER-
1.bdividebthebnumeratorbandbdenominator.
2.bmultiplybbyb100bandbaddbabpercentbsign.
Stepsbtobchangebabpercentbtobabfraction.b-bCORRECTbANSWER-
1.bRemovebthebpercentbsignbandbwritebthebvaluebasbthebnumeratorbwithbabdenominatorbofb100.b
2.bSimplifybthebfraction.
Termbforbfractionsbwithbthebsamebdenominator.b-bCORRECTbANSWER-Likebfractions.
Howbdobyoubaddblikebfractions?b-bCORRECTbANSWER-Addbthebnumerators.b
Example:b2/5b+b1/5b=b3/5
Howbdobyoubsubtractblikebfractions?b-bCORRECTbANSWER-Subtractbthebnumerators.b
Example:b8/9b-b2/9b=b6/9b=b2/3
Stepsbtobaddingborbsubstractingbfractionsbwithoutblikebdenominators.b-bCORRECTbANSWER-
1.bfindbtheblowestbcommonbdenominatorb(theblowestbcommonbmultiple).
2.bconvertbthebLCDbbybmultiplyingbthebfractionbbybthebnecessarybnumericalbvaluebwrittenbasbabfrac
tionbequalbtob1.b
3.bAddborbsubtractbthebnumerators.
Howbtobmultiplybfractions.b-bCORRECTbANSWER-1.bmultiplybthebnumeratorsbtogether.b
ATIbTEASb7bFULLbSTUDYbGUIDEb(SMARTbEDITION)bMATHbEXAMbQUESTIONSbWITHbCOMPLETEbSOLUTIONSb
