Let’s solve each part step by step.
---
Part A: Convert the following
1) 2/5
- To convert to decimal: divide 2 by 5 → 2 ÷ 5 =
0.4
- To convert to percent: multiply decimal by 100 → 0.4 × 100 =
40%
✔ Decimal:
0.4
✔ Percent:
40%
---
2) 0.5
- To convert to fraction: 0.5 is the same as 5/10, which simplifies to
1/2
- To convert to percent: 0.5 × 100 =
50%
✔ Fraction:
1/2
✔ Percent:
50%
---
3) 35%
- To convert to decimal: divide by 100 → 35 ÷ 100 =
0.35
- To convert to fraction: 35% = 35/100 → simplify by dividing 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 3/12 =
1/4
- To convert to decimal: 1 ÷ 4 =
0.25
- To 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.)*
---
Part B: Complete the table
We need to fill in missing values using conversions between fractions, decimals, and percents.
---
Row 1: Decimal = 0.3
- Fraction: 0.3 = 3/10 → already simplified →
3/10
- Percent: 0.3 × 100 =
30%
✔ Fractions:
3/10
✔ Percents:
30%
---
Row 2: Fraction = 7/4
- Decimal: 7 ÷ 4 =
1.75
- Percent: 1.75 × 100 =
175%
✔ Decimals:
1.75
✔ Percents:
175%
---
Row 3: Percent = 2%
- Decimal: 2 ÷ 100 =
0.02
- Fraction: 2% = 2/100 =
1/50 (simplified)
✔ Fractions:
1/50
✔ Decimals:
0.02
---
Row 4: Decimal = 1.8
- Fraction: 1.8 = 18/10 = 9/5 → or as mixed number:
1 4/5, but since table says “Fractions”, we can write improper fraction
9/5
- Percent: 1.8 × 100 =
180%
✔ Fractions:
9/5
✔ Percents:
180%
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Now let’s compile all answers neatly.
──────────────────────────────────────
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)
1) Fractions:
3/10, Percents:
30%
2) Decimals:
1.75, Percents:
175%
3) Fractions:
1/50, Decimals:
0.02
4) Fractions:
9/5, Percents:
180%
Parent Tip: Review the logic above to help your child master the concept of percents decimals fractions worksheet.
