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Simplifying Fractions Challenge

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Simplifying Fractions Challenge

Fraction simplification illustration

🎯 Part 1: Simplifying Complex Fractions

Instructions: Simplify each fraction to its lowest terms. Show your working in the box provided.

1. Simplify: 48/72

Answer: _________

2. Simplify: 126/189

Answer: _________

3. Simplify: 144/216

Answer: _________

4. Simplify: 275/385

Answer: _________

🔄 Part 2: Mixed Numbers and Improper Fractions

Instructions: Convert and simplify as required. Show all working clearly.

5. Convert 47/8 to a mixed number in simplest form:

Answer: _________

6. Convert 5 3/4 to an improper fraction:

Answer: _________

7. Simplify and convert 84/36 to a mixed number:

Answer: _________

8. Which fraction is equivalent to 2 5/12?

24/12

29/12

17/12

25/12

🧠 Part 3: Challenge Problems

Instructions: These problems require careful thinking. Use the space provided to show your method.

9. A recipe calls for 15/20 cups of flour, but you want to write this in simplest form. What fraction should you use?

Answer: _________ cups

10. If 96/144 of a chocolate bar is eaten, what fraction remains in simplest form?

Fraction remaining: _________

11. Explain in your own words how you know when a fraction is in its simplest form:
12. Challenge: Find the simplest form of 168/252 and explain which method you used to find the greatest common factor:

Answer: _________

✅ Answer Key

1. 48/72 = 2/3
2. 126/189 = 2/3
3. 144/216 = 2/3
4. 275/385 = 11/15
5. 47/8 = 5 7/8
6. 5 3/4 = 23/4
7. 84/36 = 2 1/3
8. Equivalent fraction to 2 5/12 = 29/12
9. 15/20 = 3/4 cups
10. 96/144 = 2/3 remaining
11. A fraction is in simplest form when the numerator and denominator have no common factors other than 1.
12. 168/252 = 2/3; method: Prime factorization or finding GCF (Greatest Common Factor).

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