Converting 10.6775 to a Fraction
Step-by-step explanation of how to convert 10.6775 to a fraction
Result
10.6775 =
4271
400
Mixed number:
10
271
400
Step 1: Identify the number of decimal places
The decimal 10.6775 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.6775 × 10000 = 106775
Step 3: Write as a fraction
10.6775 =
106775
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 106775 and 10000.
GCD(106775, 10000) = 25
Divide both the numerator and denominator by the GCD:
106775
10000
=
106775 ÷ 25
10000 ÷ 25
=
4271
400
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions