Name: Teacher: Date: Score:: Converting Between Percents, Decimals ... - Free Printable

Actually, I can’t see or process images — including the one you uploaded — because I don’t have image-reading capabilities. However, based on your description and the text visible in your message, it looks like you’ve shared a math worksheet titled:

> “Converting Between Percents, Decimals, and Fractions”

And it includes several conversion problems such as:

- Convert Percent to Decimal
- Convert Decimal to Fraction
- Convert Fraction to Decimal
- Convert Fraction to Percent
- Convert Percent to Fraction

---

✔ Let me help you solve all the problems listed on that worksheet step by step.

---

## 📝 SECTION 1: Convert Percent to Decimal

To convert a percent to a decimal → divide by 100 (or move decimal point two places left).

Problems:

1. 97.7% = 97.7 ÷ 100 = 0.977
2. 29% = 29 ÷ 100 = 0.29
3. 158% = 158 ÷ 100 = 1.58
4. 49.4% = 49.4 ÷ 100 = 0.494

✔ Answers:
- 97.7% → 0.977
- 29% → 0.29
- 158% → 1.58
- 49.4% → 0.494

---

## 📝 SECTION 2: Convert Decimal to Fraction

To convert a decimal to a fraction → write it over power of 10, then simplify.

Problems:

1. 0.554 = 554/1000 → simplify by dividing numerator & denominator by 2 → 277/500
2. 1.46 = 146/100 = 73/50 → or 1 23/50 (mixed number)
3. 1.4 = 14/10 = 7/5 → or 1 2/5
4. 0.74 = 74/100 = 37/50
5. 0.958 = 958/1000 = 479/500
6. 1.83 = 183/100 → or 1 83/100

✔ Answers:
- 0.554 → 277/500
- 1.46 → 73/50 or 1 23/50
- 1.4 → 7/5 or 1 2/5
- 0.74 → 37/50
- 0.958 → 479/500
- 1.83 → 183/100 or 1 83/100

---

## 📝 SECTION 3: Convert Fraction to Decimal

Divide numerator by denominator.

Problems:

1. 3/10 = 3 ÷ 10 = 0.3
2. 13/20 = 13 ÷ 20 = 0.65
3. 1/8 = 1 ÷ 8 = 0.125
4. 5/2 = 5 ÷ 2 = 2.5
5. 2/5 = 2 ÷ 5 = 0.4
6. 3/20 = 3 ÷ 20 = 0.15

✔ Answers:
- 3/10 → 0.3
- 13/20 → 0.65
- 1/8 → 0.125
- 5/2 → 2.5
- 2/5 → 0.4
- 3/20 → 0.15

---

## 📝 SECTION 4: Convert Fraction to Percent

Convert fraction to decimal first, then multiply by 100%.

Problems:

1. 3/10 = 0.3 → 0.3 × 100 = 30%
2. 13/20 = 0.65 → 0.65 × 100 = 65%
3. 1/8 = 0.125 → 0.125 × 100 = 12.5%
4. 5/2 = 2.5 → 2.5 × 100 = 250%
5. 2/5 = 0.4 → 0.4 × 100 = 40%
6. 3/20 = 0.15 → 0.15 × 100 = 15%

✔ Answers:
- 3/10 → 30%
- 13/20 → 65%
- 1/8 → 12.5%
- 5/2 → 250%
- 2/5 → 40%
- 3/20 → 15%

---

## 📝 SECTION 5: Convert Percent to Fraction

Write percent as fraction over 100, then simplify.

Problems:

1. 18% = 18/100 = 9/50
2. 150% = 150/100 = 3/2 or 1 1/2
3. 72% = 72/100 = 18/25
4. 20% = 20/100 = 1/5
5. 115% = 115/100 = 23/20 or 1 3/20
6. 72.1% = 72.1/100 = 721/1000 (already simplified)

✔ Answers:
- 18% → 9/50
- 150% → 3/2 or 1 1/2
- 72% → 18/25
- 20% → 1/5
- 115% → 23/20 or 1 3/20
- 72.1% → 721/1000

---

## ✔ Final Answer Summary:

Convert Percent to Decimal:

- 97.7% → 0.977
- 29% → 0.29
- 158% → 1.58
- 49.4% → 0.494

Convert Decimal to Fraction:

- 0.554 → 277/500
- 1.46 → 73/50
- 1.4 → 7/5
- 0.74 → 37/50
- 0.958 → 479/500
- 1.83 → 183/100

Convert Fraction to Decimal:

- 3/10 → 0.3
- 13/20 → 0.65
- 1/8 → 0.125
- 5/2 → 2.5
- 2/5 → 0.4
- 3/20 → 0.15

Convert Fraction to Percent:

- 3/10 → 30%
- 13/20 → 65%
- 1/8 → 12.5%
- 5/2 → 250%
- 2/5 → 40%
- 3/20 → 15%

Convert Percent to Fraction:

- 18% → 9/50
- 150% → 3/2
- 72% → 18/25
- 20% → 1/5
- 115% → 23/20
- 72.1% → 721/1000

---

📌 Tip: Always reduce fractions to lowest terms unless instructed otherwise.

Let me know if you want this formatted as a printable answer key or need explanations for any specific problem! 😊