How do you convert 0.5% into a fraction and decimal?

To convert 0.5% into a fraction and a decimal, follow these simple steps:

Step 1: Understanding Percentages

A percentage means "per hundred." So, 0.5% can be expressed as:

0.5% = 0.5 out of 100

Step 2: Converting to a Fraction

To write this as a fraction:

• Start with 0.5 over 100: 0.5/100
• To eliminate the decimal, multiply both the numerator and the denominator by 10: (0.5 × 10)/(100 × 10) = 5/1000
• Simplify the fraction by dividing both the numerator and denominator by 5: 5 ÷ 5 / 1000 ÷ 5 = 1/200

Step 3: Converting to a Decimal

To convert 0.5% into a decimal:

• Divide by 100: 0.5 ÷ 100 = 0.005

Final Results

In summary:

• As a fraction: 1/200
• As a decimal: 0.005