Let’s solve each fraction step by step to turn it into a percent.
To change a fraction to a percent, we can:
1. Divide the top number (numerator) by the bottom number (denominator).
2. Multiply the result by 100.
3. Add the % sign.
But since many of these fractions have denominators like 10 or 20, we can also think: “What would this be out of 100?” That’s often easier!
---
a. 2/10
→ 2 ÷ 10 = 0.2
→ 0.2 × 100 = 20
→ So,
20%
Or: 2/10 = ?/100 → multiply numerator and denominator by 10 → 20/100 = 20%
✔ Answer:
20%
---
b. 5/10
→ 5 ÷ 10 = 0.5
→ 0.5 × 100 = 50
→ So,
50%
Or: 5/10 = 50/100 = 50%
✔ Answer:
50%
---
c. 9/10
→ 9 ÷ 10 = 0.9
→ 0.9 × 100 = 90
→ So,
90%
Or: 9/10 = 90/100 = 90%
✔ Answer:
90%
---
d. 3/20
→ 3 ÷ 20 = 0.15
→ 0.15 × 100 = 15
→ So,
15%
Or: To get denominator to 100, multiply by 5 → 3×5=15, 20×5=100 → 15/100 = 15%
✔ Answer:
15%
---
e. 7/20
→ 7 ÷ 20 = 0.35
→ 0.35 × 100 = 35
→ So,
35%
Or: 7×5=35, 20×5=100 → 35/100 = 35%
✔ Answer:
35%
---
f. 11/20
→ 11 ÷ 20 = 0.55
→ 0.55 × 100 = 55
→ So,
55%
Or: 11×5=55, 20×5=100 → 55/100 = 55%
✔ Answer:
55%
---
g. 15/20
→ 15 ÷ 20 = 0.75
→ 0.75 × 100 = 75
→ So,
75%
Or: 15×5=75, 20×5=100 → 75/100 = 75%
✔ Answer:
75%
---
h. 16/20
→ 16 ÷ 20 = 0.8
→ 0.8 × 100 = 80
→ So,
80%
Or: 16×5=80, 20×5=100 → 80/100 = 80%
✔ Answer:
80%
---
i. 18/20
→ 18 ÷ 20 = 0.9
→ 0.9 × 100 = 90
→ So,
90%
Or: 18×5=90, 20×5=100 → 90/100 = 90%
✔ Answer:
90%
---
j. 20/20
→ 20 ÷ 20 = 1
→ 1 × 100 = 100
→ So,
100%
Or: 20/20 = 100/100 = 100%
✔ Answer:
100%
---
Final Answer:
a. 20%
b. 50%
c. 90%
d. 15%
e. 35%
f. 55%
g. 75%
h. 80%
i. 90%
j. 100%
Parent Tip: Review the logic above to help your child master the concept of changing fraction to percentage worksheet.