Converting 2.2725 to a Fraction
Step-by-step explanation of how to convert 2.2725 to a fraction
Result
2.2725 =
909
400
Mixed number:
2
109
400
Step 1: Identify the number of decimal places
The decimal 2.2725 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.2725 × 10000 = 22725
Step 3: Write as a fraction
2.2725 =
22725
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 22725 and 10000.
GCD(22725, 10000) = 25
Divide both the numerator and denominator by the GCD:
22725
10000
=
22725 ÷ 25
10000 ÷ 25
=
909
400
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions