Proportion Conversions: Percent Worksheets - Free Printable

I need to convert each percentage to a ratio, fraction, and decimal. Let me work through each one carefully.

Key conversions:
- To convert percent to decimal: divide by 100 (move decimal point 2 places left)
- To convert percent to fraction: write as fraction over 100, then simplify
- To convert percent to ratio: write the simplified fraction as a ratio

Let me solve each row:

a. 75%
- Decimal: 75 ÷ 100 = 0.75
- Fraction: 75/100 = 3/4 (divide both by 25)
- Ratio: 3:4

b. 66.7%
- Decimal: 66.7 ÷ 100 = 0.667
- Fraction: 66.7/100 ≈ 2/3 (since 66.7% is approximately 2/3)
- Ratio: 2:3

c. 50%
- Decimal: 50 ÷ 100 = 0.5
- Fraction: 50/100 = 1/2
- Ratio: 1:2

d. 100%
- Decimal: 100 ÷ 100 = 1.0
- Fraction: 100/100 = 1/1 or just 1
- Ratio: 1:1

e. 20%
- Decimal: 20 ÷ 100 = 0.2
- Fraction: 20/100 = 1/5
- Ratio: 1:5

f. 12.5%
- Decimal: 12.5 ÷ 100 = 0.125
- Fraction: 12.5/100 = 125/1000 = 1/8
- Ratio: 1:8

g. 90%
- Decimal: 90 ÷ 100 = 0.9
- Fraction: 90/100 = 9/10
- Ratio: 9:10

h. 25%
- Decimal: 25 ÷ 100 = 0.25
- Fraction: 25/100 = 1/4
- Ratio: 1:4

i. 54.5%
- Decimal: 54.5 ÷ 100 = 0.545
- Fraction: 54.5/100 = 545/1000 = 109/200
- Ratio: 109:200

j. 40%
- Decimal: 40 ÷ 100 = 0.4
- Fraction: 40/100 = 2/5
- Ratio: 2:5

k. 85.7%
- Decimal: 85.7 ÷ 100 = 0.857
- Fraction: 85.7/100 ≈ 6/7 (since 85.7% is approximately 6/7)
- Ratio: 6:7

l. 30%
- Decimal: 30 ÷ 100 = 0.3
- Fraction: 30/100 = 3/10
- Ratio: 3:10

m. 36.4%
- Decimal: 36.4 ÷ 100 = 0.364
- Fraction: 36.4/100 = 364/1000 = 91/250
- Ratio: 91:250

n. 55.6%
- Decimal: 55.6 ÷ 100 = 0.556
- Fraction: 55.6/100 ≈ 5/9 (since 55.6% is approximately 5/9)
- Ratio: 5:9

o. 58.3%
- Decimal: 58.3 ÷ 100 = 0.583
- Fraction: 58.3/100 ≈ 7/12 (since 58.3% is approximately 7/12)
- Ratio: 7:12

p. 10%
- Decimal: 10 ÷ 100 = 0.1
- Fraction: 10/100 = 1/10
- Ratio: 1:10

q. 87.5%
- Decimal: 87.5 ÷ 100 = 0.875
- Fraction: 87.5/100 = 875/1000 = 7/8
- Ratio: 7:8

r. 88.9%
- Decimal: 88.9 ÷ 100 = 0.889
- Fraction: 88.9/100 ≈ 8/9 (since 88.9% is approximately 8/9)
- Ratio: 8:9

s. 33.3%
- Decimal: 33.3 ÷ 100 = 0.333
- Fraction: 33.3/100 ≈ 1/3 (since 33.3% is approximately 1/3)
- Ratio: 1:3

t. 41.7%
- Decimal: 41.7 ÷ 100 = 0.417
- Fraction: 41.7/100 ≈ 5/12 (since 41.7% is approximately 5/12)
- Ratio: 5:12

Final Answer:
| | Ratio | Fraction | Decimal | Percent |
|---|----------|----------|---------|----------|
| a.| 3:4 | 3/4 | 0.75 | 75% |
| b.| 2:3 | 2/3 | 0.667 | 66.7% |
| c.| 1:2 | 1/2 | 0.5 | 50% |
| d.| 1:1 | 1 | 1.0 | 100% |
| e.| 1:5 | 1/5 | 0.2 | 20% |
| f.| 1:8 | 1/8 | 0.125 | 12.5% |
| g.| 9:10 | 9/10 | 0.9 | 90% |
| h.| 1:4 | 1/4 | 0.25 | 25% |
| i.| 109:200 | 109/200 | 0.545 | 54.5% |
| j.| 2:5 | 2/5 | 0.4 | 40% |
| k.| 6:7 | 6/7 | 0.857 | 85.7% |
| l.| 3:10 | 3/10 | 0.3 | 30% |
| m.| 91:250 | 91/250 | 0.364 | 36.4% |
| n.| 5:9 | 5/9 | 0.556 | 55.6% |
| o.| 7:12 | 7/12 | 0.583 | 58.3% |
| p.| 1:10 | 1/10 | 0.1 | 10% |
| q.| 7:8 | 7/8 | 0.875 | 87.5% |
| r.| 8:9 | 8/9 | 0.889 | 88.9% |
| s.| 1:3 | 1/3 | 0.333 | 33.3% |
| t.| 5:12 | 5/12 | 0.417 | 41.7% |