Unit Quiz
About This Quiz
This quiz covers all the concepts from the Fraction Equivalence unit. Test your knowledge on finding equivalent fractions, simplifying fractions, word problems, and avoiding common mistakes.
Quiz Tips
- Read each question carefully before answering.
- Show your work on scratch paper if needed.
- Check your answers by working backwards.
- Click on each question to reveal the answer after you've tried it.
Unit Quiz Questions
Answer all 10 questions below. Click on each question to reveal the correct answer after you've attempted it.
Question 1: Write three fractions equivalent to 1/2.
Answer: Any three of these (or similar): 2/4, 3/6, 4/8, 5/10, 6/12, etc. To find equivalent fractions, multiply both numerator and denominator by the same number.
Question 2: Simplify 18/24 to lowest terms.
Answer: 3/4. The GCF of 18 and 24 is 6. Divide both by 6: 18/24 = 3/4.
Question 3: Find the missing number: 3/5 = __/20
Answer: 12. Since 5 x 4 = 20, multiply the numerator by 4 also: 3 x 4 = 12. So 3/5 = 12/20.
Question 4: Are 5/8 and 15/24 equivalent fractions? Explain how you know.
Answer: Yes, they are equivalent. Method 1: 5/8 x 3/3 = 15/24. Method 2: Cross-multiply: 5 x 24 = 120 and 8 x 15 = 120. Since the products are equal, the fractions are equivalent.
Question 5: A pizza is cut into 16 slices. Maria ate 4 slices. What fraction of the pizza did she eat in simplest form?
Answer: 1/4. Maria ate 4/16 of the pizza. The GCF of 4 and 16 is 4. Divide both by 4: 4/16 = 1/4.
Question 6: Find the missing number: 7/__ = 21/27
Answer: 9. Since 7 x 3 = 21, the denominator must also be multiplied by 3. So __ x 3 = 27, meaning __ = 9. Therefore 7/9 = 21/27.
Question 7: A class has 30 students. If 20 students brought lunch from home, what fraction brought lunch in simplest form?
Answer: 2/3. 20/30 simplifies to 2/3 (divide both by 10).
Question 8: Which is greater: 3/4 or 5/8? Show your work.
Answer: 3/4 is greater. Convert to common denominator: 3/4 = 6/8. Since 6/8 > 5/8, we know 3/4 > 5/8.
Question 9: A student says 4/6 = 8/18 because they multiplied the numerator by 2 and the denominator by 3. Is this correct? Explain.
Answer: No, this is incorrect. To find equivalent fractions, you must multiply BOTH parts by the SAME number. 4/6 x 2/2 = 8/12 (not 8/18), or 4/6 x 3/3 = 12/18. 4/6 is NOT equal to 8/18.
Question 10: Sarah has 3/4 cup of flour. She needs to measure it using a 1/8 cup measure. How many 1/8 cups of flour does she need?
Answer: 6 cups. Convert 3/4 to eighths: 3/4 = 6/8 (multiply both by 2). So Sarah needs six 1/8 cup measures.
Next Steps
- Review any questions you got wrong
- Go back to previous lessons if concepts are still unclear
- Congratulations on completing the Fraction Equivalence unit!
- Move on to the next unit when ready