ATI TEAS 7 Mathematics Questions and Answers with
Rationales
Question 1: Convert 23/25 to a decimal.
A. 1.02
B. 0.92
C. 0.82
D. 9.2
Answer: B. 0.92
Rationale: Divide the numerator 23 by the denominator 25 to convert the fraction to a decimal. That calculation gives 0.92. A decimal
represents the same part of a whole as the original fraction. The other choices result from shifting the decimal point or changing the
value rather than converting it.
Question 2: Convert 0.24 to a percentage.
A. 240%
B. 2.4%
C. 24%
D. 0.2%
Answer: C. 24%
Rationale: To convert a decimal to a percent, multiply the decimal by 100. Multiplying 0.24 by 100 gives 24. Therefore the equivalent
percentage is 24%. Moving the decimal point by any amount other than two places changes the value.
Question 3: Convert 28% to a decimal.
A. 0.028
B. 0.28
C. 28
D. 2.8
Answer: B. 0.28
Rationale: A percent means a value out of 100, so divide 28 by 100. This moves the decimal point two places to the left and gives
0.28. The decimal and 28% name the same quantity. Dividing by 10 or 1,000 would place the decimal point incorrectly.
Question 4: Which percentage is equivalent to 11/20?
A. 550%
B. 55%
C. 5.5%
D. 0.6%
Answer: B. 55%
Rationale: First convert 11/20 to a decimal by dividing 11 by 20. Then multiply that decimal by 100 to express it as a percent. The
result is 55%. The distractors reflect incomplete conversions or an incorrect decimal-point shift.
,Question 5: Convert 75% to a fraction in simplest form.
A. 15/2
B. 3/4
C. 4/3
D. 3/20
Answer: B. 3/4
Rationale: Write 75% as the fraction 75/100 because percent means per hundred. Reduce that fraction by dividing numerator and
denominator by their greatest common factor. The simplified fraction is 3/4. The other choices do not preserve the original ratio of
75 to 100.
Question 6: Which decimal is equivalent to both 4/5 and 80%?
A. 0.08
B. 8
C. 0.8
D. 0.2
Answer: C. 0.8 Page 1
Rationale: The fraction 4/5 is equivalent to 80/100. Dividing by 100 gives the decimal 0.8. Because 80% also means 80/100, all three
forms describe the same amount. The other decimals represent different proportions of the whole.
Question 7: Convert 2/5 to a decimal.
A. 0.3
B. 4
C. 0.5
D. 0.4
Answer: D. 0.4
Rationale: Divide the numerator 2 by the denominator 5 to convert the fraction to a decimal. That calculation gives 0.4. A decimal
represents the same part of a whole as the original fraction. The other choices result from shifting the decimal point or changing the
value rather than converting it.
Question 8: Convert 0.48 to a percentage.
A. 4.8%
B. 48%
C. 480%
D. 0.5%
Answer: B. 48%
Rationale: To convert a decimal to a percent, multiply the decimal by 100. Multiplying 0.48 by 100 gives 48. Therefore the equivalent
percentage is 48%. Moving the decimal point by any amount other than two places changes the value.
,Question 9: Convert 45% to a decimal.
A. 45
B. 0.45
C. 0.045
D. 4.5
Answer: B. 0.45
Rationale: A percent means a value out of 100, so divide 45 by 100. This moves the decimal point two places to the left and gives
0.45. The decimal and 45% name the same quantity. Dividing by 10 or 1,000 would place the decimal point incorrectly.
Question 10: Which percentage is equivalent to 3/4?
A. 7.5%
B. 0.8%
C. 75%
D. 750%
Answer: C. 75%
Rationale: First convert 3/4 to a decimal by dividing 3 by 4. Then multiply that decimal by 100 to express it as a percent. The result is
75%. The distractors reflect incomplete conversions or an incorrect decimal-point shift.
Question 11: A dosage label states 128% concentration. What decimal represents this percentage?
A. 1.38
B. 12.8
C. 0.128
D. 1.28
Answer: D. 1.28
Rationale: Convert a percentage to a decimal by dividing by 100. Dividing 128 by 100 gives 1.28. Percent means per hundred, so this
conversion preserves the value. Dividing by 10 or 1,000 would move the decimal point the wrong number of places.
Question 12: Which decimal is equivalent to both 3/10 and 30%?
A. 0.7
B. 3
C. 0.03
D. 0.3
Answer: D. 0.3 Page 2
Rationale: The fraction 3/10 is equivalent to 30/100. Dividing by 100 gives the decimal 0.3. Because 30% also means 30/100, all
three forms describe the same amount. The other decimals represent different proportions of the whole.
, Question 13: Convert 9/10 to a decimal.
A. 1
B. 0.9
C. 0.8
D. 9
Answer: B. 0.9
Rationale: Divide the numerator 9 by the denominator 10 to convert the fraction to a decimal. That calculation gives 0.9. A decimal
represents the same part of a whole as the original fraction. The other choices result from shifting the decimal point or changing the
value rather than converting it.
Question 14: Convert 0.18 to a percentage.
A. 18%
B. 1.8%
C. 180%
D. 0.2%
Answer: A. 18%
Rationale: To convert a decimal to a percent, multiply the decimal by 100. Multiplying 0.18 by 100 gives 18. Therefore the equivalent
percentage is 18%. Moving the decimal point by any amount other than two places changes the value.
Question 15: Convert 18% to a decimal.
A. 0.018
B. 18
C. 1.8
D. 0.18
Answer: D. 0.18
Rationale: A percent means a value out of 100, so divide 18 by 100. This moves the decimal point two places to the left and gives
0.18. The decimal and 18% name the same quantity. Dividing by 10 or 1,000 would place the decimal point incorrectly.
Question 16: A dosage label states 133% concentration. What decimal represents this percentage?
A. 1.33
B. 13.3
C. 1.43
D. 0.133
Answer: A. 1.33
Rationale: Convert a percentage to a decimal by dividing by 100. Dividing 133 by 100 gives 1.33. Percent means per hundred, so this
conversion preserves the value. Dividing by 10 or 1,000 would move the decimal point the wrong number of places.
Rationales
Question 1: Convert 23/25 to a decimal.
A. 1.02
B. 0.92
C. 0.82
D. 9.2
Answer: B. 0.92
Rationale: Divide the numerator 23 by the denominator 25 to convert the fraction to a decimal. That calculation gives 0.92. A decimal
represents the same part of a whole as the original fraction. The other choices result from shifting the decimal point or changing the
value rather than converting it.
Question 2: Convert 0.24 to a percentage.
A. 240%
B. 2.4%
C. 24%
D. 0.2%
Answer: C. 24%
Rationale: To convert a decimal to a percent, multiply the decimal by 100. Multiplying 0.24 by 100 gives 24. Therefore the equivalent
percentage is 24%. Moving the decimal point by any amount other than two places changes the value.
Question 3: Convert 28% to a decimal.
A. 0.028
B. 0.28
C. 28
D. 2.8
Answer: B. 0.28
Rationale: A percent means a value out of 100, so divide 28 by 100. This moves the decimal point two places to the left and gives
0.28. The decimal and 28% name the same quantity. Dividing by 10 or 1,000 would place the decimal point incorrectly.
Question 4: Which percentage is equivalent to 11/20?
A. 550%
B. 55%
C. 5.5%
D. 0.6%
Answer: B. 55%
Rationale: First convert 11/20 to a decimal by dividing 11 by 20. Then multiply that decimal by 100 to express it as a percent. The
result is 55%. The distractors reflect incomplete conversions or an incorrect decimal-point shift.
,Question 5: Convert 75% to a fraction in simplest form.
A. 15/2
B. 3/4
C. 4/3
D. 3/20
Answer: B. 3/4
Rationale: Write 75% as the fraction 75/100 because percent means per hundred. Reduce that fraction by dividing numerator and
denominator by their greatest common factor. The simplified fraction is 3/4. The other choices do not preserve the original ratio of
75 to 100.
Question 6: Which decimal is equivalent to both 4/5 and 80%?
A. 0.08
B. 8
C. 0.8
D. 0.2
Answer: C. 0.8 Page 1
Rationale: The fraction 4/5 is equivalent to 80/100. Dividing by 100 gives the decimal 0.8. Because 80% also means 80/100, all three
forms describe the same amount. The other decimals represent different proportions of the whole.
Question 7: Convert 2/5 to a decimal.
A. 0.3
B. 4
C. 0.5
D. 0.4
Answer: D. 0.4
Rationale: Divide the numerator 2 by the denominator 5 to convert the fraction to a decimal. That calculation gives 0.4. A decimal
represents the same part of a whole as the original fraction. The other choices result from shifting the decimal point or changing the
value rather than converting it.
Question 8: Convert 0.48 to a percentage.
A. 4.8%
B. 48%
C. 480%
D. 0.5%
Answer: B. 48%
Rationale: To convert a decimal to a percent, multiply the decimal by 100. Multiplying 0.48 by 100 gives 48. Therefore the equivalent
percentage is 48%. Moving the decimal point by any amount other than two places changes the value.
,Question 9: Convert 45% to a decimal.
A. 45
B. 0.45
C. 0.045
D. 4.5
Answer: B. 0.45
Rationale: A percent means a value out of 100, so divide 45 by 100. This moves the decimal point two places to the left and gives
0.45. The decimal and 45% name the same quantity. Dividing by 10 or 1,000 would place the decimal point incorrectly.
Question 10: Which percentage is equivalent to 3/4?
A. 7.5%
B. 0.8%
C. 75%
D. 750%
Answer: C. 75%
Rationale: First convert 3/4 to a decimal by dividing 3 by 4. Then multiply that decimal by 100 to express it as a percent. The result is
75%. The distractors reflect incomplete conversions or an incorrect decimal-point shift.
Question 11: A dosage label states 128% concentration. What decimal represents this percentage?
A. 1.38
B. 12.8
C. 0.128
D. 1.28
Answer: D. 1.28
Rationale: Convert a percentage to a decimal by dividing by 100. Dividing 128 by 100 gives 1.28. Percent means per hundred, so this
conversion preserves the value. Dividing by 10 or 1,000 would move the decimal point the wrong number of places.
Question 12: Which decimal is equivalent to both 3/10 and 30%?
A. 0.7
B. 3
C. 0.03
D. 0.3
Answer: D. 0.3 Page 2
Rationale: The fraction 3/10 is equivalent to 30/100. Dividing by 100 gives the decimal 0.3. Because 30% also means 30/100, all
three forms describe the same amount. The other decimals represent different proportions of the whole.
, Question 13: Convert 9/10 to a decimal.
A. 1
B. 0.9
C. 0.8
D. 9
Answer: B. 0.9
Rationale: Divide the numerator 9 by the denominator 10 to convert the fraction to a decimal. That calculation gives 0.9. A decimal
represents the same part of a whole as the original fraction. The other choices result from shifting the decimal point or changing the
value rather than converting it.
Question 14: Convert 0.18 to a percentage.
A. 18%
B. 1.8%
C. 180%
D. 0.2%
Answer: A. 18%
Rationale: To convert a decimal to a percent, multiply the decimal by 100. Multiplying 0.18 by 100 gives 18. Therefore the equivalent
percentage is 18%. Moving the decimal point by any amount other than two places changes the value.
Question 15: Convert 18% to a decimal.
A. 0.018
B. 18
C. 1.8
D. 0.18
Answer: D. 0.18
Rationale: A percent means a value out of 100, so divide 18 by 100. This moves the decimal point two places to the left and gives
0.18. The decimal and 18% name the same quantity. Dividing by 10 or 1,000 would place the decimal point incorrectly.
Question 16: A dosage label states 133% concentration. What decimal represents this percentage?
A. 1.33
B. 13.3
C. 1.43
D. 0.133
Answer: A. 1.33
Rationale: Convert a percentage to a decimal by dividing by 100. Dividing 133 by 100 gives 1.33. Percent means per hundred, so this
conversion preserves the value. Dividing by 10 or 1,000 would move the decimal point the wrong number of places.
