Let's solve each of the fraction simplification problems on this worksheet step by step. The goal is to
simplify each fraction by dividing both the numerator and denominator by their
greatest common divisor (GCD).
---
1. $ \frac{6}{30} $
- GCD of 6 and 30 is
6
- $ \frac{6 ÷ 6}{30 ÷ 6} = \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
---
2. $ \frac{5}{10} $
- GCD of 5 and 10 is
5
- $ \frac{5 ÷ 5}{10 ÷ 5} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
3. $ \frac{4}{40} $
- GCD of 4 and 40 is
4
- $ \frac{4 ÷ 4}{40 ÷ 4} = \frac{1}{10} $
✔ Answer: $ \frac{1}{10} $
---
4. $ \frac{24}{30} $
- GCD of 24 and 30 is
6
- $ \frac{24 ÷ 6}{30 ÷ 6} = \frac{4}{5} $
✔ Answer: $ \frac{4}{5} $
---
5. $ \frac{6}{8} $
- GCD of 6 and 8 is
2
- $ \frac{6 ÷ 2}{8 ÷ 2} = \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
---
6. $ \frac{8}{12} $
- GCD of 8 and 12 is
4
- $ \frac{8 ÷ 4}{12 ÷ 4} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
7. $ \frac{12}{24} $
- GCD of 12 and 24 is
12
- $ \frac{12 ÷ 12}{24 ÷ 12} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
8. $ \frac{99}{108} $
- GCD of 99 and 108:
- Factors: 99 = 9×11, 108 = 9×12 → GCD is
9
- $ \frac{99 ÷ 9}{108 ÷ 9} = \frac{11}{12} $
✔ Answer: $ \frac{11}{12} $
---
9. $ \frac{4}{8} $
- GCD of 4 and 8 is
4
- $ \frac{4 ÷ 4}{8 ÷ 4} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
10. $ \frac{18}{36} $
- GCD of 18 and 36 is
18
- $ \frac{18 ÷ 18}{36 ÷ 18} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
11. $ \frac{50}{80} $
- GCD of 50 and 80 is
10
- $ \frac{50 ÷ 10}{80 ÷ 10} = \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $
---
12. $ \frac{63}{72} $
- GCD of 63 and 72:
- 63 = 7×9, 72 = 8×9 → GCD is
9
- $ \frac{63 ÷ 9}{72 ÷ 9} = \frac{7}{8} $
✔ Answer: $ \frac{7}{8} $
---
13. $ \frac{9}{72} $
- GCD of 9 and 72 is
9
- $ \frac{9 ÷ 9}{72 ÷ 9} = \frac{1}{8} $
✔ Answer: $ \frac{1}{8} $
---
14. $ \frac{48}{96} $
- GCD of 48 and 96 is
48
- $ \frac{48 ÷ 48}{96 ÷ 48} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
15. $ \frac{6}{6} $
- GCD of 6 and 6 is
6
- $ \frac{6 ÷ 6}{6 ÷ 6} = \frac{1}{1} = 1 $
✔ Answer: $ 1 $
---
16. $ \frac{49}{70} $
- GCD of 49 and 70:
- 49 = 7×7, 70 = 7×10 → GCD is
7
- $ \frac{49 ÷ 7}{70 ÷ 7} = \frac{7}{10} $
✔ Answer: $ \frac{7}{10} $
---
✔ Final Answers:
1. $ \frac{1}{5} $
2. $ \frac{1}{2} $
3. $ \frac{1}{10} $
4. $ \frac{4}{5} $
5. $ \frac{3}{4} $
6. $ \frac{2}{3} $
7. $ \frac{1}{2} $
8. $ \frac{11}{12} $
9. $ \frac{1}{2} $
10. $ \frac{1}{2} $
11. $ \frac{5}{8} $
12. $ \frac{7}{8} $
13. $ \frac{1}{8} $
14. $ \frac{1}{2} $
15. $ 1 $
16. $ \frac{7}{10} $
---
🔍 How to Simplify Fractions:
To simplify a fraction:
1. Find the
greatest common divisor (GCD) of the numerator and denominator.
2. Divide both the numerator and denominator by the GCD.
3. Write the simplified fraction.
This ensures the fraction is in its
lowest terms.
Let me know if you'd like a printable version or explanations with visual models!
Parent Tip: Review the logic above to help your child master the concept of dividing fractions worksheet 5th grade.
