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Math worksheet for converting fractions to percentages.

Worksheet titled "Fractions to Percentages #2" with ten fraction-to-percent conversion problems.

Worksheet titled "Fractions to Percentages #2" with ten fraction-to-percent conversion problems.

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Show Answer Key & Explanations Step-by-step solution for: Fractions to Percentages - 2u worksheet
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.
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