To simplify each fraction, I need to find the Greatest Common Factor (GCF) of the numerator and denominator, then divide both by that number.
1) 14/20: GCF of 14 and 20 is 2. 14÷2=7, 20÷2=10 → 7/10
2) 4/8: GCF of 4 and 8 is 4. 4÷4=1, 8÷4=2 → 1/2
3) 9/12: GCF of 9 and 12 is 3. 9÷3=3, 12÷3=4 → 3/4
4) 12/15: GCF of 12 and 15 is 3. 12÷3=4, 15÷3=5 → 4/5
5) 8/18: GCF of 8 and 18 is 2. 8÷2=4, 18÷2=9 → 4/9
6) 14/21: GCF of 14 and 21 is 7. 14÷7=2, 21÷7=3 → 2/3
7) 12/16: GCF of 12 and 16 is 4. 12÷4=3, 16÷4=4 → 3/4
8) 10/24: GCF of 10 and 24 is 2. 10÷2=5, 24÷2=12 → 5/12
9) 15/35: GCF of 15 and 35 is 5. 15÷5=3, 35÷5=7 → 3/7
10) 13/26: GCF of 13 and 26 is 13. 13÷13=1, 26÷13=2 → 1/2
11) 11/55: GCF of 11 and 55 is 11. 11÷11=1, 55÷11=5 → 1/5
12) 9/21: GCF of 9 and 21 is 3. 9÷3=3, 21÷3=7 → 3/7
13) 16/26: GCF of 16 and 26 is 2. 16÷2=8, 26÷2=13 → 8/13
14) 20/32: GCF of 20 and 32 is 4. 20÷4=5, 32÷4=8 → 5/8
15) 18/24: GCF of 18 and 24 is 6. 18÷6=3, 24÷6=4 → 3/4
16) 21/27: GCF of 21 and 27 is 3. 21÷3=7, 27÷3=9 → 7/9
17) 4/32: GCF of 4 and 32 is 4. 4÷4=1, 32÷4=8 → 1/8
18) 25/40: GCF of 25 and 40 is 5. 25÷5=5, 40÷5=8 → 5/8
Let me verify a few key ones:
- 14/20: 14=2×7, 20=2×2×5, GCF=2 ✓
- 12/15: 12=2²×3, 15=3×5, GCF=3 ✓
- 14/21: 14=2×7, 21=3×7, GCF=7 ✓
- 13/26: 13 is prime, 26=2×13, GCF=13 ✓
- 11/55: 11 is prime, 55=5×11, GCF=11 ✓
- 16/26: 16=2⁴, 26=2×13, GCF=2 ✓
- 18/24: 18=2×3², 24=2³×3, GCF=2×3=6 ✓
- 21/27: 21=3×7, 27=3³, GCF=3 ✓
- 25/40: 25=5², 40=2³×5, GCF=5 ✓
All calculations verified correctly.
Final Answer:
1) 7/10
2) 1/2
3) 3/4
4) 4/5
5) 4/9
6) 2/3
7) 3/4
8) 5/12
9) 3/7
10) 1/2
11) 1/5
12) 3/7
13) 8/13
14) 5/8
15) 3/4
16) 7/9
17) 1/8
18) 5/8
Parent Tip: Review the logic above to help your child master the concept of simplifying fractions worksheet grade 4.
