Convert Ratios To Percents Fractions Worksheet | PDF | Odds | Ratio - Free Printable

I'll solve this ratio conversion worksheet step by step. Let me work through each problem carefully.

For each ratio, I need to convert it to:
- Fraction: Write as a/b
- Percent: Convert to percentage (multiply decimal by 100)
- Decimal: Divide the first number by the second

Let me calculate each one:

Section 1:

a. 1:2
- Fraction: 1/2
- Decimal: 1 ÷ 2 = 0.5
- Percent: 0.5 × 100 = 50%

b. 4:5
- Fraction: 4/5
- Decimal: 4 ÷ 5 = 0.8
- Percent: 0.8 × 100 = 80%

c. 5:9
- Fraction: 5/9
- Decimal: 5 ÷ 9 = 0.555... ≈ 0.56 (or 0.5̅)
- Percent: 0.555... × 100 = 55.56% (or 55.̅%)

d. 2:5
- Fraction: 2/5
- Decimal: 2 ÷ 5 = 0.4
- Percent: 0.4 × 100 = 40%

e. 1:1
- Fraction: 1/1 or 1
- Decimal: 1 ÷ 1 = 1.0
- Percent: 1 × 100 = 100%

f. 3:4
- Fraction: 3/4
- Decimal: 3 ÷ 4 = 0.75
- Percent: 0.75 × 100 = 75%

g. 1:3
- Fraction: 1/3
- Decimal: 1 ÷ 3 = 0.333... ≈ 0.33 (or 0.̅)
- Percent: 0.333... × 100 = 33.33% (or 33.̅%)

h. 7:10
- Fraction: 7/10
- Decimal: 7 ÷ 10 = 0.7
- Percent: 0.7 × 100 = 70%

i. 5:7
- Fraction: 5/7
- Decimal: 5 ÷ 7 = 0.714... ≈ 0.71
- Percent: 0.714... × 100 = 71.43%

j. 2:3
- Fraction: 2/3
- Decimal: 2 ÷ 3 = 0.666... ≈ 0.67 (or 0.̅)
- Percent: 0.666... × 100 = 66.67% (or 66.̅%)

Section 2:

a. 7:8
- Fraction: 7/8
- Decimal: 7 ÷ 8 = 0.875
- Percent: 0.875 × 100 = 87.5%

b. 1:1
- Fraction: 1/1 or 1
- Decimal: 1 ÷ 1 = 1.0
- Percent: 1 × 100 = 100%

c. 1:3
- Fraction: 1/3
- Decimal: 1 ÷ 3 = 0.333... ≈ 0.33
- Percent: 33.33%

d. 3:10
- Fraction: 3/10
- Decimal: 3 ÷ 10 = 0.3
- Percent: 0.3 × 100 = 30%

e. 1:4
- Fraction: 1/4
- Decimal: 1 ÷ 4 = 0.25
- Percent: 0.25 × 100 = 25%

f. 2:3
- Fraction: 2/3
- Decimal: 2 ÷ 3 = 0.666... ≈ 0.67
- Percent: 66.67%

g. 4:5
- Fraction: 4/5
- Decimal: 4 ÷ 5 = 0.8
- Percent: 80%

h. 1:2
- Fraction: 1/2
- Decimal: 1 ÷ 2 = 0.5
- Percent: 50%

i. 3:5
- Fraction: 3/5
- Decimal: 3 ÷ 5 = 0.6
- Percent: 60%

j. 1:6
- Fraction: 1/6
- Decimal: 1 ÷ 6 = 0.166... ≈ 0.17
- Percent: 16.67%

Section 3:

a. 2:3
- Fraction: 2/3
- Decimal: 0.666... ≈ 0.67
- Percent: 66.67%

b. 4:7
- Fraction: 4/7
- Decimal: 4 ÷ 7 = 0.571... ≈ 0.57
- Percent: 57.14%

c. 1:1
- Fraction: 1/1 or 1
- Decimal: 1.0
- Percent: 100%

d. 5:6
- Fraction: 5/6
- Decimal: 5 ÷ 6 = 0.833... ≈ 0.83
- Percent: 83.33%

e. 1:2
- Fraction: 1/2
- Decimal: 0.5
- Percent: 50%

f. 1:9
- Fraction: 1/9
- Decimal: 1 ÷ 9 = 0.111... ≈ 0.11
- Percent: 11.11%

g. 4:5
- Fraction: 4/5
- Decimal: 0.8
- Percent: 80%

h. 1:10
- Fraction: 1/10
- Decimal: 0.1
- Percent: 10%

i. 3:7
- Fraction: 3/7
- Decimal: 3 ÷ 7 = 0.428... ≈ 0.43
- Percent: 42.86%

j. 2:5
- Fraction: 2/5
- Decimal: 0.4
- Percent: 40%

Section 4:

a. 1:2
- Fraction: 1/2
- Decimal: 0.5
- Percent: 50%

b. 1:3
- Fraction: 1/3
- Decimal: 0.333... ≈ 0.33
- Percent: 33.33%

c. 4:9
- Fraction: 4/9
- Decimal: 4 ÷ 9 = 0.444... ≈ 0.44
- Percent: 44.44%

d. 6:7
- Fraction: 6/7
- Decimal: 6 ÷ 7 = 0.857... ≈ 0.86
- Percent: 85.71%

e. 1:1
- Fraction: 1/1 or 1
- Decimal: 1.0
- Percent: 100%

f. 4:7
- Fraction: 4/7
- Decimal: 0.571... ≈ 0.57
- Percent: 57.14%

g. 5:6
- Fraction: 5/6
- Decimal: 0.833... ≈ 0.83
- Percent: 83.33%

h. 1:5
- Fraction: 1/5
- Decimal: 1 ÷ 5 = 0.2
- Percent: 20%

i. 5:7
- Fraction: 5/7
- Decimal: 0.714... ≈ 0.71
- Percent: 71.43%

j. 2:3
- Fraction: 2/3
- Decimal: 0.666... ≈ 0.67
- Percent: 66.67%

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## Final Answer:

Section 1:
| | Ratio | Fraction | Percent | Decimal |
|---|-------|----------|---------|---------|
| a | 1:2 | 1/2 | 50% | 0.5 |
| b | 4:5 | 4/5 | 80% | 0.8 |
| c | 5:9 | 5/9 | 55.56% | 0.56 |
| d | 2:5 | 2/5 | 40% | 0.4 |
| e | 1:1 | 1/1 | 100% | 1.0 |
| f | 3:4 | 3/4 | 75% | 0.75 |
| g | 1:3 | 1/3 | 33.33% | 0.33 |
| h | 7:10 | 7/10 | 70% | 0.7 |
| i | 5:7 | 5/7 | 71.43% | 0.71 |
| j | 2:3 | 2/3 | 66.67% | 0.67 |

Section 2:
| | Ratio | Fraction | Percent | Decimal |
|---|-------|----------|---------|---------|
| a | 7:8 | 7/8 | 87.5% | 0.875 |
| b | 1:1 | 1/1 | 100% | 1.0 |
| c | 1:3 | 1/3 | 33.33% | 0.33 |
| d | 3:10 | 3/10 | 30% | 0.3 |
| e | 1:4 | 1/4 | 25% | 0.25 |
| f | 2:3 | 2/3 | 66.67% | 0.67 |
| g | 4:5 | 4/5 | 80% | 0.8 |
| h | 1:2 | 1/2 | 50% | 0.5 |
| i | 3:5 | 3/5 | 60% | 0.6 |
| j | 1:6 | 1/6 | 16.67% | 0.17 |

Section 3:
| | Ratio | Fraction | Percent | Decimal |
|---|-------|----------|---------|---------|
| a | 2:3 | 2/3 | 66.67% | 0.67 |
| b | 4:7 | 4/7 | 57.14% | 0.57 |
| c | 1:1 | 1/1 | 100% | 1.0 |
| d | 5:6 | 5/6 | 83.33% | 0.83 |
| e | 1:2 | 1/2 | 50% | 0.5 |
| f | 1:9 | 1/9 | 11.11% | 0.11 |
| g | 4:5 | 4/5 | 80% | 0.8 |
| h | 1:10 | 1/10 | 10% | 0.1 |
| i | 3:7 | 3/7 | 42.86% | 0.43 |
| j | 2:5 | 2/5 | 40% | 0.4 |

Section 4:
| | Ratio | Fraction | Percent | Decimal |
|---|-------|----------|---------|---------|
| a | 1:2 | 1/2 | 50% | 0.5 |
| b | 1:3 | 1/3 | 33.33% | 0.33 |
| c | 4:9 | 4/9 | 44.44% | 0.44 |
| d | 6:7 | 6/7 | 85.71% | 0.86 |
| e | 1:1 | 1/1 | 100% | 1.0 |
| f | 4:7 | 4/7 | 57.14% | 0.57 |
| g | 5:6 | 5/6 | 83.33% | 0.83 |
| h | 1:5 | 1/5 | 20% | 0.2 |
| i | 5:7 | 5/7 | 71.43% | 0.71 |
| j | 2:3 | 2/3 | 66.67% | 0.67 |