Let’s solve each part step by step.
---
Part A: Convert the following
1)
2/5
- To convert fraction to decimal: divide 2 ÷ 5 =
0.4
- To convert decimal to percent: multiply by 100 → 0.4 × 100 =
40%
✔ Decimal:
0.4
✔ Percent:
40%
---
2)
0.5
- To convert decimal to fraction: 0.5 = 5/10 = simplify →
1/2
- To convert decimal to percent: 0.5 × 100 =
50%
✔ Fraction:
1/2
✔ Percent:
50%
---
3)
35%
- To convert percent to decimal: divide by 100 → 35 ÷ 100 =
0.35
- To convert percent to fraction: 35% = 35/100 = simplify (divide numerator and denominator by 5) →
7/20
✔ Decimal:
0.35
✔ Fraction:
7/20
---
4)
3/12
First, simplify the fraction: 3 ÷ 3 = 1, 12 ÷ 3 = 4 → so
1/4
- Convert to decimal: 1 ÷ 4 =
0.25
- Convert to percent: 0.25 × 100 =
25%
✔ Percent:
25%
✔ Decimal:
0.25
*(Note: The problem asks for “Percent” first, then “Decimal” — we’ll follow that order in final answer.)*
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Part B: Complete the table
We need to fill in missing values using conversions between fractions, decimals, and percents.
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Row 1: Given
Decimal = 0.3
- Fraction: 0.3 = 3/10 → already simplified →
3/10
- Percent: 0.3 × 100 =
30%
→ Fractions:
3/10, Percents:
30%
---
Row 2: Given
Fraction = 7/4
- Decimal: 7 ÷ 4 =
1.75
- Percent: 1.75 × 100 =
175%
→ Decimals:
1.75, Percents:
175%
---
Row 3: Given
Percent = 2%
- Decimal: 2 ÷ 100 =
0.02
- Fraction: 2% = 2/100 = simplify →
1/50
→ Fractions:
1/50, Decimals:
0.02
---
Row 4: Given
Decimal = 1.8
- Fraction: 1.8 = 18/10 = simplify → divide numerator and denominator by 2 →
9/5
- Percent: 1.8 × 100 =
180%
→ Fractions:
9/5, Percents:
180%
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Now let’s compile all answers clearly.
──────────────────────────────────────
Final Answer:
A)
1) Decimal:
0.4, Percent:
40%
2) Fraction:
1/2, Percent:
50%
3) Decimal:
0.35, Fraction:
7/20
4) Percent:
25%, Decimal:
0.25
B) Table:
| | Fractions | Decimals | Percents |
|---|-----------|----------|----------|
| 1 |
3/10 | 0.3 |
30% |
| 2 | 7/4 |
1.75 |
175% |
| 3 |
1/50 |
0.02 | 2% |
| 4 |
9/5 | 1.8 |
180% |
Parent Tip: Review the logic above to help your child master the concept of change percent to decimal worksheet.
