ParaPathways Fractions Practice: Quick Lesson and Sample Questions
Fractions appear in the Numbers and Operations category of the ParaPathways Mathematics module (5759). The on-screen calculator is a four-function tool with no fraction key, so you convert fractions to decimals or work each step by hand.
The Math module gives you 36 questions in 60 minutes. That works out to about 100 seconds per question. Many fraction items use classroom scenarios, such as checking a student’s work or splitting materials among groups. The skills below cover every fraction task the test can ask.
Fractions on the ParaPathways: what you need to know
The calculator handles fractions one way: division. To convert any fraction to a decimal, divide the top number by the bottom number. Enter 3 divided by 8 and the screen shows 0.375. That single move solves most fraction questions on this test.
Comparing fractions is the clearest example. Suppose a question asks which is larger, 5/8 or 7/11. Convert both: 5 divided by 8 is 0.625, and 7 divided by 11 is about 0.636. The decimals settle it instantly, with no common denominator needed.
Adding and subtracting fractions works better by hand when the answer choices are fractions. Find a common denominator first. To add 1/4 and 1/6, rewrite both over 12: 3/12 plus 2/12 equals 5/12. Add the numerators only. The denominator stays the same.
Multiplying is the simplest operation. Multiply straight across: 2/3 times 4/5 equals 8/15. Dividing takes one extra step. Flip the second fraction, then multiply. So 1/2 divided by 1/4 becomes 1/2 times 4/1, which equals 2. Keep the order straight: the first fraction stays put, and only the divisor flips.
Word problems on the ParaPathways use the word "of" to signal multiplication. If 2/3 of 24 students finished an assignment, multiply: 2/3 times 24 equals 16. On the calculator, enter 2 divided by 3, then multiply the result by 24.
Expect classroom framing. A question may show a student’s written work and ask you to name the error. The most common planted mistakes are the same ones real students make. Watch for these traps:
- Adding denominators: 1/4 plus 1/4 is 2/4, not 2/8.
- Flipping the wrong fraction when dividing. Only the second fraction inverts.
- Comparing fractions by numerator alone. Convert to decimals instead.
- Forgetting to simplify when the answer choices are in lowest terms.
Budget your time. Simple conversions should take 30 seconds. Save the longer scenarios for the time you bank on easy items.
Sample questions
Work these 6 questions with a basic calculator or by hand, then check each solution.
Question 1
Which fraction has the greatest value?
- A. 5/8
- B. 3/5
- C. 7/12
- D. 2/3
Show answer
D. Convert each to a decimal by dividing: 5/8 = 0.625, 3/5 = 0.6, 7/12 = 0.583, and 2/3 = 0.667. The largest decimal is 0.667, so 2/3 is greatest.
Question 2
A paraprofessional uses 1/3 of a ream of paper in the morning and 2/5 of the ream in the afternoon. What fraction of the ream is used in total?
- A. 3/8
- B. 11/15
- C. 2/15
- D. 3/5
Show answer
B. The common denominator of 3 and 5 is 15. Rewrite: 1/3 = 5/15 and 2/5 = 6/15. Add the numerators: 5/15 + 6/15 = 11/15.
Question 3
A class has 28 students, and 3/4 of them returned a signed permission slip. How many students returned the slip?
- A. 18
- B. 20
- C. 21
- D. 24
Show answer
C. The word "of" means multiply. Compute 3/4 times 28: 28 divided by 4 is 7, and 7 times 3 is 21.
Question 4
What is 3/4 divided by 1/8?
- A. 4
- B. 5
- C. 6
- D. 8
Show answer
C. Flip the second fraction and multiply: 3/4 times 8/1 = 24/4 = 6.
Question 5
What is 7/8 written as a decimal?
- A. 0.78
- B. 0.825
- C. 0.875
- D. 0.925
Show answer
C. Divide the numerator by the denominator on the calculator: 7 divided by 8 equals 0.875.
Question 6
A student adds 1/4 + 2/3 and writes 3/7 as the answer. Which error did the student make?
- A. The student multiplied the fractions instead of adding them.
- B. The student added the numerators and the denominators separately.
- C. The student flipped the second fraction before adding.
- D. The student converted both fractions to decimals incorrectly.
Show answer
B. Adding tops and bottoms gives 3/7, which matches the student’s answer. The correct method uses a common denominator of 12: 3/12 + 8/12 = 11/12.
Review the full study guide or take a timed Math practice test to keep building your score.
Drill fractions inside the full Math module, timed.
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