Converting 11.3625 to a Fraction
Step-by-step explanation of how to convert 11.3625 to a fraction
Result
11.3625 =
909
80
Mixed number:
11
29
80
Step 1: Identify the number of decimal places
The decimal 11.3625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.3625 × 10000 = 113625
Step 3: Write as a fraction
11.3625 =
113625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 113625 and 10000.
GCD(113625, 10000) = 125
Divide both the numerator and denominator by the GCD:
113625
10000
=
113625 ÷ 125
10000 ÷ 125
=
909
80
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions