ATI TEAS 7 FULL STUDY GUIDE MATH EXAM QUESTONS AND ANSWERS

ATI TEAS 7 FULL STUDY GUIDE
MATH EXAM QUESTONS AND
ANSWERS
Theh7toph7numberh7ofh7ah7fractionh7ish7theh7__________________________.h7-
h7ANSWERS--numerator



Theh7bottomh7numberh7ofh7ah7fractionh7ish7theh7__________________________.h7-
h7ANSWERS--denominator



Whath7ish7ah7properh7fraction?h7-h7ANSWERS--
Ah7fractionh7whereh7theh7numeratorh7ish7smallerh7thanh7theh7denominator.

Whath7ish7anh7improperh7fraction?h7-h7ANSWERS--
Ah7fractionh7whereh7theh7numeratorh7ish7largerh7thanh7theh7denominator.

Whath7canh7anh7improperh7fractionh7beh7changedh7to?h7-h7ANSWERS--
Ah7mixedh7number.

Whath7ish7ah7mixedh7number?h7-h7ANSWERS--
Ah7mixedh7numberh7ish7ah7wholeh7numberh7andh7ah7properh7fraction.

Howh7doh7youh7changeh7anh7improperh7fractionh7toh7ah7mixedh7number?h7-h7ANSWERS--
Divideh7theh7denominatorh7intoh7theh7numerator.h7Theh7resulth7ish7theh7wholeh7number.h7T
heh7remainderh7ish7theh7numeratorh7ofh7theh7properh7fraction,h7andh7theh7valueh7ofh7theh7de
nominatorh7doesh7noth7change.h7

Example:h75/2h7ish72h71/2h7becauseh72h7goesh7intoh75h7twiceh7withh7ah7remainderh7ofh71.

Howh7doh7youh7changeh7ah7mixedh7numberh7toh7anh7improperh7fraction?h7-h7ANSWERS--
Multiplyh7theh7wholeh7numberh7byh7theh7denominatorh7andh7addh7theh7resulth7toh7theh7num
erator.h7Theh7resultsh7becomeh7theh7newh7numerator.h7

Example:h72h71/2h7ish75/2h7becauseh72h7timesh72h7plush71h7ish75h7forh7theh7newh7numerator.

Whath7ish7theh7leasth7commonh7denominator?h7-h7ANSWERS--
Theh7smallesth7numberh7thath7canh7beh7dividedh7evenlyh7intoh7theh7denominatorsh7ofh7allh7
fractionsh7beingh7compared.

Howh7doh7youh7changeh7ah7decimalh7toh7ah7fraction?h7-h7ANSWERS--
1.h7Writeh7theh7decimalh7dividedh7byh71h7withh7theh7decimalh7ash7theh7numeratorh7andh71h7a
sh7theh7denominator.h7

2.h7Multiplyh7theh7numeratorh7andh7denominatorh7byh710h7forh7everyh7numberh7afterh7theh7
decimalh7point.h7
Example:h7ifh7thereh7ish71h7decimalh7place,h7multiplyh7byh710.h7Ifh7thereh7areh72h7decimalh7pl
aces,h7multiplyh7byh7100.h7

,3.h7Reduceh7theh7fractionh7completely.h7

Example:h70.37
1.h70.37/1
2.h70.37h7xh7100/1h7xh7100h7=h737/100
3.h737/100h7(thish7fractionh7doesh7noth7reduce)

Stepsh7toh7changingh7ah7fractionh7toh7ah7decimal.h7-h7ANSWERS--
1.h7divideh7theh7numeratorh7byh7theh7denominator.h7Addh7zerosh7afterh7theh7decimalh7point
h7ash7needed.h7

2.h7completeh7theh7processh7whenh7thereh7ish7noh7remainderh7orh7theh7decimalh7ish7repeati
ng.

2h7waysh7toh7converth7ah7decimalh7toh7ah7percent.h7-h7ANSWERS--
1.h7multiplyh7theh7decimalh7byh7100h7andh7addh7ah7percenth7sign.
2.h7moveh7theh7decimalh7pointh72h7placesh7toh7theh7right.

2h7waysh7toh7converth7ah7percenth7toh7ah7decimal.h7-h7ANSWERS--
1.h7removeh7theh7percenth7signh7andh7divideh7theh7decimalh7byh7100.h7
2.h7moveh7theh7decimalh7pointh72h7placesh7toh7theh7left.

Stepsh7toh7changeh7ah7fractionh7toh7ah7percent.h7-h7ANSWERS--
1.h7divideh7theh7numeratorh7andh7denominator.
2.h7multiplyh7byh7100h7andh7addh7ah7percenth7sign.

Stepsh7toh7changeh7ah7percenth7toh7ah7fraction.h7-h7ANSWERS--
1.h7Removeh7theh7percenth7signh7andh7writeh7theh7valueh7ash7theh7numeratorh7withh7ah7den
ominatorh7ofh7100.h7
2.h7Simplifyh7theh7fraction.

Termh7forh7fractionsh7withh7theh7sameh7denominator.h7-h7ANSWERS--Likeh7fractions.

Howh7doh7youh7addh7likeh7fractions?h7-h7ANSWERS--Addh7theh7numerators.h7

Example:h72/5h7+h71/5h7=h73/5

Howh7doh7youh7subtracth7likeh7fractions?h7-h7ANSWERS--Subtracth7theh7numerators.h7

Example:h78/9h7-h72/9h7=h76/9h7=h72/3

Stepsh7toh7addingh7orh7substractingh7fractionsh7withouth7likeh7denominators.h7-
h7ANSWERS--

1.h7findh7theh7lowesth7commonh7denominatorh7(theh7lowesth7commonh7multiple).
2.h7converth7theh7LCDh7byh7multiplyingh7theh7fractionh7byh7theh7necessaryh7numericalh7val
ueh7writtenh7ash7ah7fractionh7equalh7toh71.h7
3.h7Addh7orh7subtracth7theh7numerators.

Howh7toh7multiplyh7fractions.h7-h7ANSWERS--1.h7multiplyh7theh7numeratorsh7together.h7
2.h7multiplyh7theh7denominatorsh7together.

, Stepsh7toh7multiplyh7ah7fractionh7byh7ah7wholeh7number.h7-h7ANSWERS--
1.h7changeh7theh7wholeh7numberh7toh7ah7fractionh7withh7ah7denominatorh7ofh71.h7
2.h7multiplyh7theh7numeratorsh7together.h7
3.h7multiplyh7theh7denominatorsh7together.h7
4.h7rewriteh7theh7finalh7answerh7ash7ah7mixedh7number.

Stepsh7toh7multiplyh7ah7fractionh7byh7ah7mixedh7numberh7orh7multiplyingh72h7mixedh7numbe
rs.h7-h7ANSWERS--1.h7changeh7theh7mixedh7numberh7toh7anh7improperh7fraction.h7
2.h7multiplyh7theh7numerators.
3.h7multiplyh7theh7denominators.h7
4.h7writeh7theh7improperh7fractionh7ash7ah7mixedh7number.h7
5.h7reduceh7ifh7necessary.

Stepsh7toh7divideh7ah7fractionh7byh7ah7fraction.h7-h7ANSWERS--
1.h7leaveh7theh7firsth7fractionh7alone.h7
2.h7findh7theh7reciprocalh7ofh7theh7secondh7fraction.h7
3.h7multiplyh7theh7firsth7fractionh7byh7theh7reciprocalh7ofh7theh7secondh7fraction.h7
4.h7Rewriteh7theh7fractionh7ash7ah7mixedh7numberh7andh7reduceh7theh7fractionh7completely
.

Stepsh7toh7divideh7ah7fractionh7byh7ah7wholeh7orh7mixedh7number.h7-h7ANSWERS--
1.h7writeh7anyh7wholeh7numberh7ash7ah7fractionh7withh7theh7denominatorh7ofh71.h7writeh7any
h7mixedh7numbersh7ash7improperh7fractions.h7

2.h7leaveh7theh7firsth7fractionh7(improperh7fraction)h7alone.h7
3.h7findh7theh7reciprocalh7ofh7theh7secondh7fraction.h7
4.h7multiplyh7theh7firsth7fractionh7byh7theh7reciprocalh7ofh7theh7secondh7fraction.h7
5.h7rewriteh7theh7fractionh7ash7ah7mixedh7numberh7andh7reduceh7theh7fractionh7completely.

Whath7ish7ah7percenth7orh7percentage?h7-h7ANSWERS--Ah7fractionh7ofh7someh7quantity.h7

"percent"h7meansh7"perh7hundred."

Whath7ish7ah7ratio?h7-h7ANSWERS--
Ah7ratioh7expressesh7theh7relationshiph7betweenh7twoh7numbersh7andh7ish7expressedh7usi
ngh7ah7colonh7orh7fractionh7notation.h7

Ratiosh7shouldh7generallyh7appearh7inh7lowesth7terms.h7

Mathematically,h7ratiosh7acth7justh7likeh7fractions.h7Example:h78:13h7ish7theh7sameh7ash78/
13.

Whath7ish7ah7proportion?h7-h7ANSWERS--Ah7proportionh7ish7anh7equationh7ofh7twoh7ratios.

Whath7ish7theh7rateh7ofh7changeh7forh7someh7quantity?h7-h7ANSWERS--
Theh7rateh7ofh7changeh7forh7someh7quantityh7ish7theh7ratioh7ofh7theh7quantity'sh7differenceh7
overh7ah7specifich7timeh7periodh7toh7theh7lengthh7ofh7thath7timeh7period.h7