TEAS Math Fractions Practice Questions (ATI TEAS 7) + Step-by-Step Answers
Preparing for the ATI TEAS 7 exam means getting comfortable with core math topics—and fractions are one of the most tested areas. On the TEAS math section, you’ll encounter a range of fractions questions, including simplifying, comparing, and solving operations like addition, subtraction, multiplication, and division. These concepts are essential because they often appear in both direct problems and real-world scenarios.
This page gives you targeted TEAS math fractions practice questions designed to match the actual exam format. You’ll work through carefully selected problems with clear, step-by-step explanations so you can understand the logic behind each solution. Whether you’re reviewing basics or improving accuracy, these TEAS fractions questions will help you build confidence and avoid common mistakes on test day.
What kind of fraction questions are on the TEAS test?
The TEAS test includes a variety of fraction-based problems that assess both basic understanding and problem-solving skills. You can expect questions on simplifying fractions, converting between mixed and improper forms, performing operations (addition, subtraction, multiplication, division), and solving word problems that apply fractions in real-life contexts.
TEAS Math Fractions Rules You Must Know
Before jumping into TEAS math fractions practice questions, it’s important to understand the core rules that the exam consistently tests. Mastering these fundamentals will make even complex problems much easier to solve.
1. How to Simplify Fractions
Simplifying (or reducing) fractions means expressing them in their lowest terms.
Rule:
Divide both the numerator and denominator by their greatest common factor (GCF).
Formula:
a/b = (a ÷ GCF) / (b ÷ GCF)
👉 Example:
12/16 → divide both by 4 → 3/4
2. Common Denominator Rule (Addition & Subtraction)
To add or subtract fractions, they must have the same denominator.
Rule:
Find the least common denominator (LCD), then adjust each fraction.
Formula:
a/b + c/d = (ad + bc) / bd (after converting to common denominator)
👉 Key idea:
You are combining parts of the same whole, so denominators must match.
3. Multiplying Fractions
Multiplying fractions is more straightforward than addition or subtraction.
Rule:
Multiply straight across (numerator × numerator, denominator × denominator).
Formula:
(a/b) × (c/d) = (a × c) / (b × d)
👉 Tip:
Always simplify before or after multiplying to avoid large numbers.
4. Dividing Fractions
Division is one of the most commonly tested TEAS fraction concepts.
Rule:
Keep the first fraction, flip the second (reciprocal), then multiply.
Formula:
(a/b) ÷ (c/d) = (a/b) × (d/c)
👉 Easy memory trick:
“Keep, Change, Flip”
Quick Reminder
- Always simplify your final answer
- Watch for improper fractions (convert if needed)
- Double-check signs and operations
These fraction rules form the foundation of nearly all TEAS fractions questions, especially when solving multi-step problems or word-based scenarios.
TEAS Math Fractions Practice Questions with Answers
Use these TEAS math fractions practice questions to test the exact skills commonly seen on the ATI TEAS 7 exam. The set below includes basic fraction operations, mixed numbers, improper fractions, and a few word problems so you can build accuracy across different question types.
Question 1
Simplify: 12/16
Answer:
👉 3/4
Explanation:
Find the greatest common factor of 12 and 16, which is 4. Divide both numbers by 4.
12 ÷ 4 = 3
16 ÷ 4 = 4
So, 12/16 simplifies to 3/4.
Question 2
Simplify: 18/24
Answer:
👉 3/4
Explanation:
The greatest common factor of 18 and 24 is 6. Divide both by 6.
18 ÷ 6 = 3
24 ÷ 6 = 4
The simplified fraction is 3/4.
Question 3
Add: 1/4 + 2/4
Answer:
👉 3/4
Explanation:
The denominators are already the same, so add the numerators.
1 + 2 = 3
Keep the denominator 4.
The answer is 3/4.
Question 4
Add: 1/3 + 1/6
Answer:
👉 1/2
Explanation:
The least common denominator of 3 and 6 is 6. Convert 1/3 to 2/6.
Now add: 2/6 + 1/6 = 3/6
Simplify 3/6 to 1/2.
Question 5
Subtract: 5/8 – 1/8
Answer:
👉 1/2
Explanation:
The denominators are the same, so subtract the numerators.
5 – 1 = 4
That gives 4/8, which simplifies to 1/2.
Question 6
Subtract: 7/10 – 1/5
Answer:
👉 1/2
Explanation:
Convert 1/5 into tenths.
1/5 = 2/10
Now subtract: 7/10 – 2/10 = 5/10
Simplify 5/10 to 1/2.
Question 7
Multiply: 2/3 × 3/5
Answer:
👉 2/5
Explanation:
Multiply numerators and denominators.
2 × 3 = 6
3 × 5 = 15
So the result is 6/15. Simplify by dividing both by 3.
6 ÷ 3 = 2
15 ÷ 3 = 5
Final answer: 2/5.
Question 8
Multiply: 4/7 × 14/15
Answer:
👉 8/15
Explanation:
Multiply across:
4 × 14 = 56
7 × 15 = 105
So the fraction is 56/105. Simplify by dividing both by 7.
56 ÷ 7 = 8
105 ÷ 7 = 15
The answer is 8/15.
Question 9
Divide: 3/4 ÷ 2/5
Answer:
👉 15/8 or 1 7/8
Explanation:
To divide fractions, keep the first fraction, flip the second, and multiply.
3/4 ÷ 2/5 = 3/4 × 5/2
Multiply across:
3 × 5 = 15
4 × 2 = 8
The answer is 15/8, which can also be written as 1 7/8.
Question 10
Divide: 5/6 ÷ 1/3
Answer:
👉 5/2 or 2 1/2
Explanation:
Flip the second fraction and multiply.
5/6 ÷ 1/3 = 5/6 × 3/1
Multiply:
5 × 3 = 15
6 × 1 = 6
15/6 simplifies to 5/2, or 2 1/2.
Question 11
Convert to an improper fraction: 2 3/5
Answer:
👉 13/5
Explanation:
Multiply the whole number by the denominator.
2 × 5 = 10
Then add the numerator.
10 + 3 = 13
Place that over the original denominator.
The improper fraction is 13/5.
Question 12
Convert to a mixed number: 11/4
Answer:
👉 2 3/4
Explanation:
Divide 11 by 4.
4 goes into 11 two times with a remainder of 3.
So the whole number is 2, and the fraction part is 3/4.
The mixed number is 2 3/4.
Question 13
Compare the fractions: Which is greater, 3/4 or 5/8?
Answer:
👉 3/4
Explanation:
Convert both fractions to a common denominator.
3/4 = 6/8
Now compare 6/8 and 5/8.
Since 6/8 is greater, 3/4 is the larger fraction.
Question 14
Order from least to greatest: 1/2, 3/8, 5/6
Answer:
👉 3/8, 1/2, 5/6
Explanation:
Convert to decimals or compare using common denominators.
1/2 = 0.5
3/8 = 0.375
5/6 ≈ 0.833
From least to greatest, the order is 3/8, 1/2, 5/6.
Question 15
Add: 2 1/4 + 1 1/2
Answer:
👉 3 3/4
Explanation:
Add the whole numbers first.
2 + 1 = 3
Now add the fractions.
1/4 + 1/2 = 1/4 + 2/4 = 3/4
Combine them for 3 3/4.
Question 16
Subtract: 4 2/3 – 1 1/6
Answer:
👉 3 1/2
Explanation:
Subtract the whole numbers first.
4 – 1 = 3
Now subtract the fractions.
2/3 = 4/6
4/6 – 1/6 = 3/6 = 1/2
Final answer: 3 1/2.
Question 17
Multiply: 1 1/2 × 2/3
Answer:
👉 1
Explanation:
Convert 1 1/2 to an improper fraction.
1 1/2 = 3/2
Now multiply:
3/2 × 2/3 = 6/6 = 1
The answer is 1.
Question 18
Divide: 2 1/4 ÷ 3/5
Answer:
👉 15/4 or 3 3/4
Explanation:
Convert 2 1/4 to an improper fraction.
2 1/4 = 9/4
Now divide by multiplying by the reciprocal.
9/4 ÷ 3/5 = 9/4 × 5/3 = 45/12
Simplify 45/12 by dividing by 3.
45 ÷ 3 = 15
12 ÷ 3 = 4
So the answer is 15/4, or 3 3/4.
Question 19
A student studied for 3/4 of an hour in the morning and 1/2 of an hour in the evening. How long did the student study in total?
Answer:
👉 1 1/4 hours
Explanation:
Add the fractions.
3/4 + 1/2 = 3/4 + 2/4 = 5/4
Convert 5/4 to a mixed number.
5/4 = 1 1/4
The student studied for 1 1/4 hours total.
Question 20
A recipe calls for 2/3 cup of milk, but only half the recipe is being made. How much milk is needed?
Answer:
👉 1/3 cup
Explanation:
Taking half of 2/3 means multiplying by 1/2.
2/3 × 1/2 = 2/6
Simplify 2/6 to 1/3.
The amount of milk needed is 1/3 cup.
Question 21
A nurse uses 3/8 of a bottle of solution in the morning and 1/4 in the afternoon. How much of the bottle was used altogether?
Answer:
👉 5/8
Explanation:
Convert 1/4 to eighths.
1/4 = 2/8
Now add: 3/8 + 2/8 = 5/8
A total of 5/8 of the bottle was used.
Question 22
Simplify: 21/28
Answer:
👉 3/4
Explanation:
The greatest common factor of 21 and 28 is 7.
21 ÷ 7 = 3
28 ÷ 7 = 4
So the simplified fraction is 3/4.
Question 23
Add: 5/12 + 1/3
Answer:
👉 3/4
Explanation:
Convert 1/3 to twelfths.
1/3 = 4/12
Now add: 5/12 + 4/12 = 9/12
Simplify 9/12 by dividing both numbers by 3.
9 ÷ 3 = 3
12 ÷ 3 = 4
The answer is 3/4.
Question 24
Subtract: 9/11 – 2/11
Answer:
👉 7/11
Explanation:
The denominators are already the same.
Subtract the numerators: 9 – 2 = 7
Keep the denominator 11.
The answer is 7/11.
Question 25
Which fraction is equivalent to 6/9?
Answer:
👉 2/3
Explanation:
Simplify 6/9 by dividing numerator and denominator by 3.
6 ÷ 3 = 2
9 ÷ 3 = 3
So the equivalent fraction is 2/3.
These TEAS math fractions questions cover the main fraction skills tested on the ATI TEAS exam, from reducing fractions to solving multi-step word problems. As you work through them, focus on accuracy first, then speed.
TEAS Fraction Word Problems Practice
Word problems on the TEAS math section are designed to test how well you apply fraction concepts in real-life situations. These questions often combine multiple steps, so it’s important to read carefully and identify the correct operation before solving.
Question 1
A patient is prescribed 3/4 of a tablet in the morning and 1/2 of a tablet in the evening. How much medication is taken in total per day?
Answer:
👉 1 1/4 tablets
Explanation:
Add the fractions.
3/4 + 1/2 = 3/4 + 2/4 = 5/4
Convert to a mixed number: 1 1/4
Question 2
A nurse uses 2/3 of a liter of saline solution during one shift. If the bottle originally contained 1 liter, how much is left?
Answer:
👉 1/3 liter
Explanation:
Subtract the amount used from the total.
1 – 2/3 = 1/3
So, 1/3 liter remains.
Question 3
A student studies for 5/6 of an hour on Monday and 2/3 of an hour on Tuesday. How many hours did the student study in total?
Answer:
👉 1 1/2 hours
Explanation:
Find a common denominator (6).
2/3 = 4/6
Add: 5/6 + 4/6 = 9/6
Simplify to 1 1/2 hours.
Question 4
A medication dose requires 3/5 mL per patient. If a nurse prepares doses for 4 patients, how much medication is needed in total?
Answer:
👉 12/5 mL or 2 2/5 mL
Explanation:
Multiply: 3/5 × 4 = 12/5
Convert to mixed number: 2 2/5 mL
Question 5
A recipe requires 2/3 cup of sugar. If you only want to make half the recipe, how much sugar should you use?
Answer:
👉 1/3 cup
Explanation:
Multiply by 1/2:
2/3 × 1/2 = 2/6 = 1/3
So, you need 1/3 cup.
Question 6
A patient needs to drink 1/8 liter of water every hour for 6 hours. How much water will they drink in total?
Answer:
👉 3/4 liter
Explanation:
Multiply: 1/8 × 6 = 6/8
Simplify to 3/4 liter.
Question 7
A bottle contains 3/4 liter of medicine. If each dose is 1/8 liter, how many doses can be given?
Answer:
👉 6 doses
Explanation:
Divide: 3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6
So, 6 doses can be given.
These types of TEAS fraction word problems require you to identify whether to add, subtract, multiply, or divide. In many cases, converting between mixed numbers and improper fractions will also be necessary to reach the correct answer.
Common Mistakes in TEAS Fraction Questions
Even when you understand the basics, small errors can cost you points on the TEAS math section. Being aware of these common mistakes can help you avoid them during the exam.
1. Not Finding a Common Denominator
One of the most frequent errors is trying to add or subtract fractions without making the denominators the same.
👉 Example mistake:
1/3 + 1/4 = 2/7 ❌
👉 Correct approach:
Find a common denominator (12):
1/3 = 4/12, 1/4 = 3/12
Answer = 7/12 ✔
2. Flipping the Wrong Fraction in Division
When dividing fractions, only the second fraction should be flipped (reciprocal).
👉 Common error:
Flipping both fractions or the first fraction
👉 Correct rule:
Keep the first fraction, change division to multiplication, flip the second fraction
3. Forgetting to Simplify the Final Answer
Many TEAS questions require answers in simplest form. Leaving answers like 6/8 instead of 3/4 can lead to incorrect results.
👉 Always check:
Can both numbers be divided by the same value?
4. Errors with Mixed Numbers
Students often forget to convert mixed numbers into improper fractions before multiplying or dividing.
👉 Example mistake:
Multiplying 1 1/2 × 2 directly
👉 Correct approach:
Convert 1 1/2 → 3/2 first, then multiply
5. Calculation Mistakes Under Time Pressure
Simple arithmetic errors can happen when rushing.
👉 Tip:
- Double-check your numerator and denominator
- Watch for sign errors
- Re-read the question before finalizing your answer
Avoiding these common TEAS fraction mistakes can significantly improve your accuracy and overall score, especially on multi-step and word-based problems.
TEAS Fractions Tips to Solve Faster
When you’re taking the TEAS math test, speed matters just as much as accuracy. The following strategies can help you solve fraction problems more efficiently without sacrificing correctness.
- Always simplify at the end
After completing any fraction operation, reduce your answer to its lowest terms. Many TEAS questions expect simplified answers, and skipping this step can cost easy points. - Cross-cancel before multiplying
When multiplying fractions, look for common factors between numerators and denominators and simplify before multiplying. This keeps numbers smaller and reduces calculation errors. - Watch improper fractions
Be ready to convert between improper fractions and mixed numbers. Some answers may need to be expressed in a specific format, especially in word problems. - Check the operation carefully
TEAS questions often test whether you chose the correct operation (add, subtract, multiply, or divide). Take a second to confirm before solving. - Use estimation to verify answers
Quickly estimate the result to see if your answer makes sense. For example, if you add two fractions less than 1, the result should not exceed 2. - Keep track of common denominators
When adding or subtracting, double-check that your denominators match before combining fractions. - Manage your time per question
Don’t spend too long on a single fraction problem. If unsure, make your best attempt and move on—then return if time allows.
These quick TEAS fraction tips are especially helpful when working through multiple questions under timed conditions, helping you stay accurate and efficient throughout the exam.
Download TEAS Fractions Practice PDF
If you prefer to study offline or want a quick revision sheet before your exam, you can download a printable set of TEAS math fractions practice questions along with answers and step-by-step solutions.
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FAQs About TEAS Fraction Questions
1. Are fractions on the TEAS test hard?
Fractions on the TEAS test are generally moderate in difficulty. Most questions focus on basic operations like simplifying, adding, subtracting, multiplying, and dividing fractions. With consistent practice, these questions become much easier to handle.
2. How many fraction questions are on the TEAS math test?
There is no fixed number, but fractions are a core part of the TEAS math section. You can expect several questions involving fractions directly or within word problems, especially in multi-step calculations.
3. What types of fraction problems appear on the ATI TEAS 7 exam?
The ATI TEAS 7 exam includes simplifying fractions, converting between mixed and improper fractions, performing operations (addition, subtraction, multiplication, division), and solving real-world word problems involving fractions.
4. What is the fastest way to solve TEAS fraction questions?
The fastest approach is to simplify whenever possible, use cross-cancellation before multiplying, and quickly find common denominators for addition or subtraction. Practicing these techniques helps improve both speed and accuracy.
5. Do you need to simplify fractions on the TEAS test?
Yes, in most cases answers must be in simplest form. If a fraction is not fully reduced, it may be marked incorrect even if the calculation is otherwise correct.
6. Can you use a calculator for fraction problems on the TEAS test?
Yes, a calculator is typically provided during the TEAS exam. However, you should still know how to solve fraction problems manually, as understanding the steps helps avoid mistakes.
7. How can I practice TEAS math fractions effectively?
The best way to practice is by solving a variety of TEAS math fractions practice questions, reviewing step-by-step solutions, and focusing on weak areas such as word problems or mixed numbers. Consistent practice builds confidence and accuracy.
Written by: David Carter, M.Ed
Curriculum & Assessment Specialist
Reviewed by: Sarah Mitchell, RN, BSN
Registered Nurse & Nursing Education Specialist
