UNDERSTANDING CONVERSIONS ON THE ATI TEAS
PDF DOWNLOADS FROM REVIEW
Conversion PERCENTAGES – Full Page Slides
Conversion PERCENTAGES – Multiple Slides
Conversion PERCENTAGES – Slides with Notes
QUIZ QUESTIONS LISTED AT END OF REVIEW
Conversion questions are directly and indirectly asked throughout the ATI TEAS. The exam will ask applicants to take one value and create the same value in a different form. Conversion questions can include decimals to percentages, fractions to percentages, and fractions to decimals. It’s important to understand how to convert these operations to answer most mathematic questions throughout the exam.
CONVERTING DECIMALS AND PERCENTAGES
To convert a percentage to a decimal, move the decimal point to the left two place values.
For example: 30.5% = 0.305
**Remember to always add a zero before the decimal point if there is no place value. This will help prevent medication errors in the future.
To convert a decimal to a percentage, move the decimal point to the right two place values.
For example: 0.543 = 54.3%
CONVERTING FRACTIONS AND DECIMALS
To convert a fraction into a decimal, divide the numerator by the denominator.
For example: 4/16 = 0.25
To convert a decimal to a fraction is a three-step process.
Step 1: Remove the decimal point
For example: 0.25 -> 25
Step 2: Use the converted number as a numerator
For example: 0.25 = 25/denominator
Step 3: Add 100 in the denominator portion of the fraction
For example: 0.25 = 25/100
Step 4 (optional): Simply the fraction. Some questions will ask for you to simplify the fraction.
For example: 25/100 = ¼
CONVERTING FRACTIONS AND PERCENTAGES
In order to convert a fraction to a percentage, we must first convert the fraction to a decimal. Next, move the decimal two place values to the right.
For example: 1/4 = 0.25 = 25%
Converting a percentage to a fraction is a three-step process.
Step 1: Move the decimal place value two places to the right
25% = 0.25
Step 2: Remove the decimal and place the remaining number in the numerator of a
fraction
0.25 = 25 = 25/denominator
Step 3: Divide the remaining number by the denominator 100
25/100
Step 4 (optional): Simply the fraction. Some questions will ask for you to simplify the fraction.
25/100 = 1/4
ATI TEAS Math Converting Fractions, Decimals, and Percentages
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Question 1 of 8
1. Question
-7 , -17/3 , -7.2 , -43/6
Arrange the numbers above from least to greatest. Which of the following is correct?
Correct
Convert the fractions to decimals. The fraction – 17/3 is equivalent to -17 ÷ 3, or approximately -5.667. The fraction -43/6 is equivalent to -43 ÷ 6, or approximately -7.167. The correct answer is -7.2, – 43/6, -7, – 17/3.
Incorrect
Convert the fractions to decimals. The fraction – 17/3 is equivalent to -17 ÷ 3, or approximately -5.667. The fraction -43/6 is equivalent to -43 ÷ 6, or approximately -7.167. The correct answer is -7.2, – 43/6, -7, – 17/3.
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Question 2 of 8
2. Question
Which of the following is equivalent to 60%?
Correct
To convert a percentage to a fraction, first convert the percentage to a decimal number. Move the decimal to the left two places: 60% = 0.60. Next, convert the decimal number to a fraction. Place the number in the numerator of the fraction, without the decimal:
0.60 = 60/”denominator”For the denominator, start with the number 1 and add zero for every decimal place in the original number:
0.60 = 60/100The fraction 60/100 reduces to 3/5.
Incorrect
To convert a percentage to a fraction, first convert the percentage to a decimal number. Move the decimal to the left two places: 60% = 0.60. Next, convert the decimal number to a fraction. Place the number in the numerator of the fraction, without the decimal:
0.60 = 60/”denominator”For the denominator, start with the number 1 and add zero for every decimal place in the original number:
0.60 = 60/100The fraction 60/100 reduces to 3/5.
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Question 3 of 8
3. Question
Which of the following percentages is equivalent to 0.017?
Correct
To convert a decimal to a percentage, move the decimal point to the right two places: 0.017 = 1.7%.
Incorrect
To convert a decimal to a percentage, move the decimal point to the right two places: 0.017 = 1.7%.
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Question 4 of 8
4. Question
Which of the following is the decimal equivalent of 3/8 ?
Correct
To convert a fraction to a decimal number, divide the numerator of the fraction by the denominator: 3/8 = 0.375.
Incorrect
To convert a fraction to a decimal number, divide the numerator of the fraction by the denominator: 3/8 = 0.375.
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Question 5 of 8
5. Question
Sarah scored 83 out of a possible 90 points on a test. Which of the following is the decimal equivalent of Sarah’s score? (Round the solution to the nearest thousandth of a percent.)
Correct
First, write Sarah’s score as a fraction: 83 points out of 90 can be written as 83/90 . Now divide the numerator of the fraction by the denominator:
83 ÷ 90 equals approximately 0.922.
Incorrect
First, write Sarah’s score as a fraction: 83 points out of 90 can be written as 83/90 . Now divide the numerator of the fraction by the denominator:
83 ÷ 90 equals approximately 0.922.
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Question 6 of 8
6. Question
Order the following list numbers from the least to greatest.
5 , 9/2 , -1 , 4.1Correct
Convert the fraction to a decimal number. The fraction 9/2 is equivalent to 4.5. The numbers, in order from least to greatest, are -1 , 4.1 , 9/2 , and 5.
Incorrect
Convert the fraction to a decimal number. The fraction 9/2 is equivalent to 4.5. The numbers, in order from least to greatest, are -1 , 4.1 , 9/2 , and 5.
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Question 7 of 8
7. Question
Rashid tossed a coin 12 times, and 9 times the result was heads. Which of the following is the decimal equivalent of the fraction to tosses that were heads?
Correct
Write the number of heads as a fraction of all the coin tosses: 9 heads out of 12 throws can be written as 9/12 . This fraction reduces to 3/4 . Now divide the numerator of the reduced fraction by the denominator: 3 ÷ 4 = 0.75.
Incorrect
Write the number of heads as a fraction of all the coin tosses: 9 heads out of 12 throws can be written as 9/12 . This fraction reduces to 3/4 . Now divide the numerator of the reduced fraction by the denominator: 3 ÷ 4 = 0.75.
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Question 8 of 8
8. Question
Which of the following is the decimal equivalent of 0.29%?
Correct
To convert a percentage to a decimal, move the decimal point to the left two places: 0.29% = 0.0029.
Incorrect
To convert a percentage to a decimal, move the decimal point to the left two places: 0.29% = 0.0029.