Converting 15.2228 to a Fraction
Step-by-step explanation of how to convert 15.2228 to a fraction
Result
15.2228 =
38057
2500
Mixed number:
15
557
2500
Step 1: Identify the number of decimal places
The decimal 15.2228 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.2228 × 10000 = 152228
Step 3: Write as a fraction
15.2228 =
152228
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 152228 and 10000.
GCD(152228, 10000) = 4
Divide both the numerator and denominator by the GCD:
152228
10000
=
152228 ÷ 4
10000 ÷ 4
=
38057
2500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions