Converting 11.1 to a Fraction
Step-by-step explanation of how to convert 11.1 to a fraction
Result
11.1 =
111
10
Mixed number:
11
1
10
Step 1: Identify the number of decimal places
The decimal 11.1 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
11.1 × 10 = 111
Step 3: Write as a fraction
11.1 =
111
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 111 and 10.
GCD(111, 10) = 1
Divide both the numerator and denominator by the GCD:
111
10
=
111 ÷ 1
10 ÷ 1
=
111
10
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions