1.078 as a Simplified Fraction

Step-by-Step Solution

Let's convert 1.078 to a simplified fraction following these steps:

1. First, let's understand this number:
   • 1.078 consists of a whole number part (1) and a decimal part (0.078)
2. Converting the decimal to a fraction:
   • Multiply 0.078 by 1000 to get 78
   • This gives us the initial fraction: 78/1000
3. Simplifying the fraction:
   • We reduce this fraction by dividing both numbers by their greatest common divisor
   • After simplification, we get: 539/500

Verify the Result

To verify that 539/500 equals 1.078:

• Divide 539 by 500
• 539 ÷ 500 = 1.078

Related Conversions

Common Uses of 1.078 as a Fraction

The fraction 539/500 (1.078) can be found in various real-world applications:

• Percentages (1.078 = 107.80%)
• Measurements and recipes
• Financial calculations
• Scientific calculations

Additional Information

Decimal Type

The decimal 1.078 is a terminating decimal with 3 decimal places.

Percentage Equivalent

1.078 = 107.800%