Converting 11.1101 to a Fraction
Step-by-step explanation of how to convert 11.1101 to a fraction
Result
11.1101 =
111101
10000
Mixed number:
11
1101
10000
Step 1: Identify the number of decimal places
The decimal 11.1101 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.1101 × 10000 = 111101
Step 3: Write as a fraction
11.1101 =
111101
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 111101 and 10000.
GCD(111101, 10000) = 1
Divide both the numerator and denominator by the GCD:
111101
10000
=
111101 ÷ 1
10000 ÷ 1
=
111101
10000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions