1.011 as a Simplified Fraction

Step-by-Step Solution

Let's convert 1.011 to a simplified fraction following these steps:

1. First, let's understand this number:
   • 1.011 consists of a whole number part (1) and a decimal part (0.011)
2. Converting the decimal to a fraction:
   • Multiply 0.011 by 1000 to get 11
   • This gives us the initial fraction: 11/1000
3. Simplifying the fraction:
   • We reduce this fraction by dividing both numbers by their greatest common divisor
   • After simplification, we get: 1011/1000

Verify the Result

To verify that 1011/1000 equals 1.011:

• Divide 1011 by 1000
• 1011 ÷ 1000 = 1.011

Related Conversions

Common Uses of 1.011 as a Fraction

The fraction 1011/1000 (1.011) can be found in various real-world applications:

• Percentages (1.011 = 101.10%)
• Measurements and recipes
• Financial calculations
• Scientific calculations

Additional Information

Decimal Type

The decimal 1.011 is a terminating decimal with 3 decimal places.

Percentage Equivalent

1.011 = 101.100%