Converting 11.5225 to a Fraction
Step-by-step explanation of how to convert 11.5225 to a fraction
Result
11.5225 =
4609
400
Mixed number:
11
209
400
Step 1: Identify the number of decimal places
The decimal 11.5225 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.5225 × 10000 = 115225
Step 3: Write as a fraction
11.5225 =
115225
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 115225 and 10000.
GCD(115225, 10000) = 25
Divide both the numerator and denominator by the GCD:
115225
10000
=
115225 ÷ 25
10000 ÷ 25
=
4609
400
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions