Explanation:
We need to fill in the missing values in the table by converting between fractions, decimals, and percentages. Remember these key facts:
- To turn a
decimal into a
percentage, multiply by 100 (or move the decimal point two places right).
Example: 0.88 → 88%
- To turn a
percentage into a
decimal, divide by 100 (or move the decimal point two places left).
Example: 35% → 0.35
- To turn a
fraction into a
decimal, divide numerator by denominator.
Example: 25/100 = 0.25
- To turn a
decimal into a
fraction, write it over 100 (or simplify).
Example: 0.76 = 76/100 = 19/25
- To turn a
percentage into a
fraction, write it over 100 and simplify if possible.
Example: 2% = 2/100 = 1/50
Now let’s go row by row.
1.
Row 1: Decimal = 0.88
- Fraction: 0.88 = 88/100 = simplify → divide numerator and denominator by 4 → 22/25
- Percentage: 0.88 × 100 =
88%
2.
Row 2: Fraction = 25/100
- Decimal: 25 ÷ 100 =
0.25
- Percentage: 0.25 × 100 =
25%
3.
Row 3: Percentage = 35%
- Decimal: 35 ÷ 100 =
0.35
- Fraction: 35/100 = simplify → divide by 5 →
7/20
4.
Row 4: Decimal = 0.76
- Fraction: 0.76 = 76/100 = simplify → divide by 4 →
19/25
- Percentage: 0.76 × 100 =
76%
5.
Row 5: Decimal = 0.45
- Fraction: 0.45 = 45/100 = simplify → divide by 5 →
9/20
- Percentage: 0.45 × 100 =
45%
6.
Row 6: Percentage = 2%
- Decimal: 2 ÷ 100 =
0.02
- Fraction: 2/100 = simplify →
1/50
7.
Row 7: Fraction = 9/100
- Decimal: 9 ÷ 100 =
0.09
- Percentage: 0.09 × 100 =
9%
8.
Row 8: Decimal = 0.86
- Fraction: 0.86 = 86/100 = simplify → divide by 2 →
43/50
- Percentage: 0.86 × 100 =
86%
9.
Row 9: Percentage = 74%
- Decimal: 74 ÷ 100 =
0.74
- Fraction: 74/100 = simplify → divide by 2 →
37/50
10.
Row 10: Fraction = 80/100
- Decimal: 80 ÷ 100 =
0.8
- Percentage: 0.8 × 100 =
80%
Let me double-check each conversion quickly:
- 0.88 → 88/100 = 22/25 ✔️
- 25/100 = 0.25 = 25% ✔️
- 35% = 0.35 = 7/20 ✔️
- 0.76 = 76/100 = 19/25 = 76% ✔️
- 0.45 = 45/100 = 9/20 = 45% ✔️
- 2% = 0.02 = 1/50 ✔️
- 9/100 = 0.09 = 9% ✔️
- 0.86 = 86/100 = 43/50 = 86% ✔️
- 74% = 0.74 = 37/50 ✔️
- 80/100 = 0.8 = 80% ✔️
All correct.
Final Answer:
Fraction | Decimal | Percentage
---|---|---
22/25 | 0.88 | 88%
25/100 | 0.25 | 25%
7/20 | 0.35 | 35%
19/25 | 0.76 | 76%
9/20 | 0.45 | 45%
1/50 | 0.02 | 2%
9/100 | 0.09 | 9%
43/50 | 0.86 | 86%
37/50 | 0.74 | 74%
80/100 | 0.8 | 80%
Parent Tip: Review the logic above to help your child master the concept of fraction decimal worksheet 1 answer.