Converting 11.1112 to a Fraction
Step-by-step explanation of how to convert 11.1112 to a fraction
Result
11.1112 =
13889
1250
Mixed number:
11
139
1250
Step 1: Identify the number of decimal places
The decimal 11.1112 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.1112 × 10000 = 111112
Step 3: Write as a fraction
11.1112 =
111112
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 111112 and 10000.
GCD(111112, 10000) = 8
Divide both the numerator and denominator by the GCD:
111112
10000
=
111112 ÷ 8
10000 ÷ 8
=
13889
1250
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions